Proving a quadrilateral is a parallelogram assignment

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Proving a quadrilateral is a parallelogram assignment.

What are the ways to prove a quadrilateral is a parallelogram? 1. Show both pairs of opposite sides are parallel. 2. Show that both pairs of opposite sides are congruent. 3. Show that both pairs of opposite angles are congruent. 4. Show that one pair of opposite sides are parallel and congruent.

This foldable provides a quick an overview of the definition and 5 theorems that may be used to prove a quadrilateral is a parallelogram. There is a written explanation, a diagram, and an "if-then" statement under each tab.An answer key is provided.Works great as an introduction to a lesson, a quic...Transforming objects in Adobe Illustrator so they appear angled -- like the difference between a rectangle and a parallelogram, which lacks the rectangle's uniform 90-degree corner...Proving that a Quadrilateral Is a Parallelogram. Get a hint. Theorem 6-8. Click the card to flip 👆. If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram. Click the card to flip 👆. 1 / 5.To show that a quadrilateral is a parallelogram in the x − y plane, you will need to use a combination of the slope formulas, the distance formula and the midpoint formula. For example, to use the Definition of a Parallelogram, you would need to find the slope of all four sides to see if the opposite sides are parallel.so that BHFC B H F C is cyclic. . Line (4) ( 4) depends upon A A, H H, F F, D D appearing in that order on their circle. Adjusting the argument for the order A A, F F, H H, D D (with which ∠AHF = β ∠ A H F = β) is left as an exercise to the reader. (There should be an argument that neatly avoids such case-work, but I haven't found it.)Proving a Quadrilateral is a Parallelogram. savannahwrightfox. a year ago. 83% average accuracy. 57 plays. 9th - 12th grade . Mathematics. 0. Save. Share. Copy and Edit. Edit. Super resource. With Super, get unlimited access to this resource and over 100,000 other Super resources. ...

"Glencoe Geometry - Lesson 9-1: Circles and Circumference, Lesson 9-2: Measuring Angles and Arcs, Lesson 9-3: Arcs and Chords, Lesson 9-4: Inscribed Angles, and Lesson 9-5: Tangents: Key Concept Boxes"You can classify shapes based on their properties. Properties are qualities that a shape has.. Examples of shape properties are: number of sides; length of sides; number of angles (corners)assignment 25. Parallelograms: Rhombus. 17 terms. taylorg438. Preview. Angles. Teacher 10 terms. katelynn_anderson54. Preview. Topics 2-2.6. 84 terms. czgonz. ... If two sides of a quadrilateral are equal and parallel, then the quadrilateral is a parallelogram. Theorem 4-18. If the diagonals of a quadrilateral bisect each other, ...Final answer: The figure could be a parallelogram if: One pair of opposite sides measures 10 in, and the other pair measures 13 in (Option 1) and One pair of o… Proving a Quadrilateral Is a Parallelogram Assignment Active Determining Whether a Figure Is a - brainly.comThere are many ways to prove that the given points are the vertices of a parallelogram. Method 1 : Show that opposite sides have the same slope, so they are parallel.Proving a Quadrilateral is a Parallelogram. savannahwrightfox. a year ago. 83% average accuracy. 57 plays. 9th - 12th grade . Mathematics. 0. Save. Share. Copy and Edit. Edit. Super resource. With Super, get unlimited access to this resource and over 100,000 other Super resources. ...With few exceptions, most mental health clinic managers have encountered the patient or parents of a patient w With few exceptions, most mental health clinic managers have encounte...Test your knowledge of proving quadrilaterals are parallelograms with Quizlet flashcards. Learn theorems, definitions and proofs with examples.

7.3 Proving a Quadrilateral is a Parallelogram. Definition of parallelogram. Click the card to flip 👆. both pairs of opposite sides are parallel. Click the card to flip 👆.Even if a quadrilateral is not marked with having two pairs of sides, it still might be a parallelogram. The following is a list of theorems that will help you decide if a quadrilateral is a parallelogram or not.Criteria proving a quadrilateral is parallelogram. 1) If a quadrilateral has one pair of sides that are both parallel and congruent. 2) If all opposite sides of the quadrilateral are …Trapezoid. a quadrilateral with at least one pair of parallel sides. square. a rectangle with all sides equal and four right angles. Rhombus. a parallelogram with all sides equal. which of the following reasons would complete the proof in line 6? if a pair of opposite sides of a quadrilateral are parallel and equal, then it is a parallelogram ... Proving a Quadrilateral is a Parallelogram. 1. Multiple Choice. State which method we can use to show that the quadrilateral is a parallelogram. Both pairs of opposite angles are congruent. Both pairs of opposite sides are congruent. Both pairs of diagonals bisect each other. Both pairs of opposite sides are parallel. N L O M. (Sample answer) You can prove that a quadrilateral is a parallelogram if any of these conditions apply: both pairs of opposite angles are congruent, both pairs of opposite sides are congruent, the diagonals bisect each other, or one pair of opposite sides is both parallel and congruent.

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Jun 1, 2021 ... For a parallelogram to be a quadrilateral, its opposite angles need to be equal and the adjacent angles should be supplementary that is the ... Geometry 5.2­Ways to Prove that Quadrilaterals are Parallelograms 5 Name: _____ Find the slope of AB. Consider points A (-2,5) and B (2,7). Find the midpoint of AB. Find AB. Using Coordinate Geometry to Prove a Quadrilateral is a Parallelogram: Def: both pairs of opposite sides are parallel Thrm 1:both pairs of opposite sides are congruent Read It Feels So Wrong To Bite People Chapter 1 In English Online Free — 6-3 Practice Proving That A Quadrilateral Is A Parallelogram Worksheet. Regardless of it's flaws, it's definitely a SUPERnatural fun ride. Please find her, soon ... 6-3 practice proving that a quadrilateral is a parallelogram find; It Feels So Wrong To Bite People ...Mw2 Campaign Lights Through Walls - Proving A Quadrilateral Is A Parallelogram - Assignment Flashcards Sat, 30 Mar 2024 22:48:04 +0000 Issue was prominent in sniper weapon optic's category, Chimera's barrel category, Bryson 800 stock category, SP-R 208 stock category, SO-14 stock category, and LA-B 330 stock category.

• identify quadrilaterals that are parallelograms • determine the conditions that guarantee a quadrilateral a parallelogram • use properties to find measures of angles, sides and other quantities involving parallelograms • prove theorems on the different kinds of parallelogram (rectangle, rhombus, square) • prove the Midline TheoremSpanish. Recommendations. Skill plans. IXL plans. Washington state standards. Textbooks. Test prep. Improve your math knowledge with free questions in "Proving a quadrilateral is a parallelogram" and thousands of other math skills.Jan 21, 2020 · Exclusive Content for Member’s Only. 00:09:14 – Decide if you are given enough information to prove that the quadrilateral is a parallelogram. (Examples #7-13) 00:15:24 – Find the value of x in the parallelogram. (Examples #14-15) 00:18:36 – Complete the two-column proof. (Examples #16-17) Unsecured debt, such as credit card debt, once sent to a collection agency is required under the Fair Debt Collection Practices Act (FDCPA) to be validated upon the consumer’s requ...Q-Chat. Study with Quizlet and memorize flashcards containing terms like If both pairs of opposite sides of a quadrilateral are parallel, then it is a parallelogram, both pairs of opposite sides of a quadrilateral are congruent, One pair of opposite sides of a quadrilateral are both parallel and congruent and more.Jan 21, 2020 · Exclusive Content for Member’s Only. 00:09:14 – Decide if you are given enough information to prove that the quadrilateral is a parallelogram. (Examples #7-13) 00:15:24 – Find the value of x in the parallelogram. (Examples #14-15) 00:18:36 – Complete the two-column proof. (Examples #16-17) Theorem 6-11. if the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram. Theorem 6-12. if one pair of opposite sides of a quadrilateral is both congruent and parallel, then the quadrilateral is a parallelogram. 6-12 suggest that if you keep two objects of the same length parallel, then the quadrilateral ...$\begingroup$ @dxiv thank you for your interest in my question; to prove that, it seems to me, I should start by noting the figure in the center is a rectangle and then prove that the two triangles to the sides of the rectangle are congruent: the two triangles have and equal side (to side of the rectangle) and an equal angle (the 90° one) but I …because if one pair of opposite sides of a quadrilateral are both congruent and parallel, the quadrilateral is a parallelogram. AE ≅ CE because the diagonals of a parallelogram bisect each other.Spanish. Recommendations. Skill plans. IXL plans. Washington state standards. Textbooks. Test prep. Improve your math knowledge with free questions in "Proving a …we make based on whether we are given that a certain quadrilateral is a parallelogram, or if we want to prove that the quadrilateral is a parallelogram. Let’s take a look at these statements so that we understand how to use them properly in our proofs. Given a ParallelogramProving a Quadrilateral is a Parallelogram. savannahwrightfox. a year ago. 83% average accuracy. 57 plays. 9th - 12th grade . Mathematics. 0. Save. Share. Copy and Edit. Edit. Super resource. With Super, get unlimited access to this resource and over 100,000 other Super resources. ...

Jun 27, 2013 ... You can prove that it is a parallelogram by showing that it has two pairs of parallel sides; however, you can also use other properties that are ...

6-3 Practice Proving That A Quadrilateral Is A Parallelogram Form K One pair of opposite sides are congruent AND parallel. A tip from Math Bits says, if we can show that one set of opposite sides are both parallel and congruent, which in turn indicates that the polygon is a parallelogram, this will save time when working a proof.The Square. the little squares in each corner mean "right angle". A square has equal sides (marked "s") and every angle is a right angle (90°) Also opposite sides are parallel. A square also fits the definition of a rectangle (all angles are 90°), and a rhombus (all sides are equal length).Proving a quadrilateral is a parallelogram. 1. both pairs of opposite sides are parallel. 2. both pairs of opposite sides are =. 3. 1 pair of opposite sides = and parallel. 4. diagonals bisect each other. 5. if opposite angles =. proving a quadrilateral is a rectangle. 1.In quadrilateral WXYZ, WC = 2x + 5 and CY = 3x + 2. What must x equal for quadrilateral WXYZ to be a parallelogram?Parallelogram ANDR with AW and DE bisecting NWD and REA at points W and E (Given). AN ≅RD, AR ≅DN (Opposite sides of a parallelogram are congruent). AE = 1 2 AR, WD = 1 2 DN, so AE ≅WD (Definition of bisect and division property of equality). AR DN (Opposite sides of a parallelogram are parallel). AWDE is a parallelogram (Definition of ...Study with Quizlet and memorize flashcards containing terms like if both pairs of opposite sides of a quadrilateral are parallel, then the quadrilateral is a parallelogram, If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram, If one pare of opposite sides of a quadrilateral are both parallel and congruent, then the quadrilateral is a ...A parallelogram is a geometric figure with opposite sides parallel and equal in length. In the picture below notice that when two parallel lines intersect two other parallel lines, a parallelogram is formed, or many, as in the case here. A parallelogram is a specific type of quadrilateral (a four-sided figure).In quadrilateral BLOT, BL Il TO, mZBTO 800 , and = 100 100' In quadrilateral JOKE, , mZOJE = 650 , and mZJEK In quadrilateral SLOW, LO ow sw . A - ore. çidxs In quadrilateral MOAT, MA intersects OT at R, MR and TR . In quadrilateral CRAB, mZRCB = 600 mZCBA=1200, and mZCRA= 1200 B Show that the following figure is a …With few exceptions, most mental health clinic managers have encountered the patient or parents of a patient w With few exceptions, most mental health clinic managers have encounte...chapter 5 parallelograms. 5 ways to prove that a quadrilateral is a parallelogram. Click the card to flip 👆. 1) show that both pairs of opposite sides are parallel. 2) show that both pairs of opposite sides are congruent. 3) show that one pair of opposite sides are both congruent and parallel. 4) show that both pairs of opposite angles are ...

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A quadrilateral is any two-dimensional flat shape having four sides. A parallelogram, on the other hand, is a quadrilateral having two pairs of opposite parallel sides. To prove whether a given quadrilateral is a parallelogram, there are six possible ways. Depending upon the information provided, you need to use any one of the below-given properties […]quadrilateral are congruent, then the quadrilateral is a parallelogram. THEOREM 6.7 If both pairs of opposite angles of a quadrilateral are congruent, then the quadrilateral is a parallelogram. THEOREM 6.8 If an angle of a quadrilateral is supplementary to both of its consecutive angles, then the quadrilateral is a parallelogram. THEOREM 6.9You have proved that $\vec{BA}$ is parallel, and of the same length as, $\vec{CD}$. A similar argument will prove that $\vec{AD}$ is parallel, and of the same length as, $\vec{BC}$. Now draw the quadrilateral and make use of all this information.To find the area of a quadrilateral, find the height and width of the shape (for rectangles, squares, parallelograms and trapezoids), and then multiply the two numbers together. Fo...Answer to Solved 5.2 Parallelograms A parallelogram is a quadrilateral | Chegg.com. Skip to main content. Books. Rent/Buy; Read; Return; Sell; Study. Tasks. Homework help; ... AE = EC and BE = ED. B с D Fig. 5-7 5.2B Proving a Quadrilateral is a Parallelogram PRINCIPLE 7: A quadrilateral is a parallelogram if its opposite sides are parallel ...Proving that a Quadrilateral is a Parallelogram.pptx. May 4, 2022 • Download as PPTX, PDF •. 0 likes • 142 views. M. MartinGeraldine. powerpoint. Education. Download now. Proving that a Quadrilateral is a Parallelogram.pptx - Download as a PDF or view online for free.The number of lines of symmetry of a parallelogram depends on the type of parallelogram. A non-special parallelogram does not have any lines of symmetry. This includes any quadrila...Proving a Quadrilateral is a Parallelogram. 1. Multiple Choice. State which method we can use to show that the quadrilateral is a parallelogram. Both pairs of opposite angles are congruent. Both pairs of opposite sides are congruent. Both pairs of diagonals bisect each other. Both pairs of opposite sides are parallel.Proving Concave Quadrilateral is a Parallelogram. Log in Sign up. Find A Tutor . Search For Tutors. Request A Tutor. Online ... AB is congruent to CD, and (2) Angle B is congruent to angle D might not prove that the quadrilateral is a parallelogram after all! Report. 11/12/23. William C. tutor. Once again, Dayv , I'm learning a lot ... The given information proves that HELP is a parallelogram., A. 7 B. 8 C. 10 D. 14, A. p = 18, q = 13 B. p = 13, q = 8 C. p = 8, q = 18 D. p = 13, q = 18 and more. hello quizlet Home ….

Steps to Prove Parallelogram Properties. To prove the properties of a parallelogram, we need to follow a series of steps.These steps involve analyzing the characteristics of a quadrilateral and using various geometric concepts.Let’s take a look at the steps involved in proving parallelogram properties:. Step 1: Identify the given …Corollary 2. Two parallel lines are equidistant throughout. Corollary 3. Consecutive angles of a parallelogram are supplementary. Corollary 4. The diagonals of a parallelogram bisect each other. THEOREM 4-15. If two sides of a quadrilateral are equal and parallel, then the quadrilateral is a parallelogram. THEOREM 4-16.Q-Chat. Study with Quizlet and memorize flashcards containing terms like If both pairs of opposite sides of a quadrilateral are parallel, then it is a parallelogram, both pairs of opposite sides of a quadrilateral are congruent, One pair of opposite sides of a quadrilateral are both parallel and congruent and more.Proving that a Quadrilateral is a Parallelogram . Font Family. Font Color. Font Size. Background. Font Opacity. Background Opacity. Monospaced Serif. ... Proving that a Quadrilateral is a Parallelogram . Volume. Speed. Enter Full Screen. Video Duration Elapsed Time: 00:00 / Total Time: 00:00. Timeline Progress ...To prove a parallelogram is a square, we need to show either one of the following: It is a rhombus (all four sides of equal length) with interior angles equal to \(90°\). It is a rectangle (interior angles equal to \(90°\)). Trapezium (EMA64) Trapezium. A trapezium is a quadrilateral with one pair of opposite sides parallel.Final answer: The figure could be a parallelogram if: One pair of opposite sides measures 10 in, and the other pair measures 13 in (Option 1) and One pair of o… Proving a Quadrilateral Is a Parallelogram Assignment Active Determining Whether a Figure Is a - brainly.comAssignment Active Practice proving that a quadrilateral is a parallelogram. X In quadrilateral WXYZ, WC = 2x+5 and CY=3x + 2. What must x equal for quadrilateral WXYZ ... This video provides the student with a walkthrough of one or more examples from the concept "Proving a Quadrilateral is a Parallelogram". Click Create Assignment to assign this modality to your LMS. This video provides the student with a walkthrough on proving that a quadrilateral is a parallelogram. Click Create Assignment to assign this modality to your LMS. We have a new and improved read on this topic. Proving a quadrilateral is a parallelogram assignment, State the theorem you can use to show that the quadrilateral is a parallelogram. 3. 30 m 30 m 4. 5 in. 5 in. 7 in. 7 in. 5. 115° 65 115° 65° 6. For what value of x is quadrilateral MNPQ a parallelogram? Explain your reasoning. Q M N P 2x 10 − 3x Ways to Prove a Quadrilateral Is a Parallelogram 1. Show that both pairs of opposite sides are ..., About Press Copyright Contact us Creators Advertise Developers Terms Privacy Policy & Safety How YouTube works Test new features NFL Sunday Ticket Press Copyright ..., How to frame the conversation so it won't ruin their opinion of you. No matter how hard you try to manage your time, you will probably end up being late on an assignment at some po..., Even if a quadrilateral is not marked with having two pairs of sides, it still might be a parallelogram. The following is a list of theorems that will help you decide if a quadrilateral is a parallelogram or not., 5. Based on the information in the diagram, determine whether the figure is a parallelogram. If so, select the answer with the correct justification. Yes, both pairs of opposite sides are congruent. Study with Quizlet and memorize flashcards containing terms like Complete the statement: A polygon with all sides the same length is said to be ..., Space. annnakaa. Start studying Proving a Quadrilateral is parallelogram. Learn vocabulary, terms, and more with flashcards, games, and other study tools. , N L O M. (Sample answer) You can prove that a quadrilateral is a parallelogram if any of these conditions apply: both pairs of opposite angles are congruent, both pairs of opposite sides are congruent, the diagonals bisect each other, or one pair of opposite sides is both parallel and congruent. , 5. Based on the information in the diagram, determine whether the figure is a parallelogram. If so, select the answer with the correct justification. Yes, both pairs of opposite sides are congruent. Study with Quizlet and memorize flashcards containing terms like Complete the statement: A polygon with all sides the same length is said to be ..., N L O M. (Sample answer) You can prove that a quadrilateral is a parallelogram if any of these conditions apply: both pairs of opposite angles are congruent, both pairs of opposite sides are congruent, the diagonals bisect each other, or one pair of opposite sides is both parallel and congruent., Proving that a Quadrilateral is a Parallelogram.pptx. May 4, 2022 • Download as PPTX, PDF •. 0 likes • 142 views. M. MartinGeraldine. powerpoint. Education. Download now. Proving that a Quadrilateral is a Parallelogram.pptx - Download as a PDF or view online for free., 5. Based on the information in the diagram, determine whether the figure is a parallelogram. If so, select the answer with the correct justification. Yes, both pairs of opposite sides are congruent. Study with Quizlet and memorize flashcards containing terms like Complete the statement: A polygon with all sides the same length is said to be ..., Click here to see a proof of the converse of the parallelogram angle theorem. As you read through the proof, look for how to complete the statements on the right. Complete the statements by choosing the correct answer from the drop-down menu. Steps ----- are being used to get the equation in step 6. Steps ----- are being used to get the ... , Parallelogram ANDR with AW and DE bisecting NWD and REA at points W and E (Given). AN ≅RD, AR ≅DN (Opposite sides of a parallelogram are congruent). AE = 1 2 AR, WD = 1 2 DN, so AE ≅WD (Definition of bisect and division property of equality). AR DN (Opposite sides of a parallelogram are parallel). AWDE is a parallelogram (Definition of ..., , The given information proves that HELP is a parallelogram., A. 7 B. 8 C. 10 D. 14, A. p = 18, q = 13 B. p = 13, q = 8 C. p = 8, q = 18 D. p = 13, q = 18 and more. hello quizlet Home , 2: The parallelogram is a rectangle if and only if the two diagonals of the quadrilateral have equal length, that is, if the quadrilateral is an equidiagonal quadrilateral. Reference for those two theorems. 3 (Hint): When the quadrilateral is both a rectangle and a rhombus, then it is a square. So, .., The given information proves that HELP is a parallelogram., A. 7 B. 8 C. 10 D. 14, A. p = 18, q = 13 B. p = 13, q = 8 C. p = 8, q = 18 D. p = 13, q = 18 and more. hello quizlet Home , Do you want to practice solving problems involving quadrilaterals on the coordinate plane? Khan Academy offers you a series of examples and exercises to help you master this topic. You will learn how to identify, classify, and draw different types of quadrilaterals, such as rectangles, parallelograms, and trapezoids, using coordinates and formulas. You will …, Proving that a Quadrilateral Is a Parallelogram. Get a hint. Theorem 6-8. Click the card to flip 👆. If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram. Click the card to flip 👆. 1 / 5., $\begingroup$ @dxiv thank you for your interest in my question; to prove that, it seems to me, I should start by noting the figure in the center is a rectangle and then prove that the two triangles to the sides of the rectangle are congruent: the two triangles have and equal side (to side of the rectangle) and an equal angle (the 90° one) but I can't see a third equal element to prove congruence., Proving a Quadrilateral is a Parallelogram. savannahwrightfox. a year ago. 83% average accuracy. 57 plays. 9th - 12th grade . Mathematics. 0. Save. Share. Copy and Edit. Edit. Super resource. With Super, get unlimited access to this resource and over 100,000 other Super resources. ..., 5. Based on the information in the diagram, determine whether the figure is a parallelogram. If so, select the answer with the correct justification. Yes, both pairs of opposite sides are congruent. Study with Quizlet and memorize flashcards containing terms like Complete the statement: A polygon with all sides the same length is said to be ..., so that BHFC B H F C is cyclic. . Line (4) ( 4) depends upon A A, H H, F F, D D appearing in that order on their circle. Adjusting the argument for the order A A, F F, H H, D D (with which ∠AHF = β ∠ A H F = β) is left as an exercise to the reader. (There should be an argument that neatly avoids such case-work, but I haven't found it.), Proving Quadrilaterals Are Parallelograms. quadrilaterals. Most of the work we did was computation-based because. we were already given the fact that the figures were parallelograms. In this section, proofs for parallelograms. We can apply much of what we learned in the previous. organized in our arguments. , First, we can use the Pythagorean Theorem to find the length of the second diagonal. 902 + 902 = d2 8100 + 8100 = d2 16200 = d2 d = 127.3. This means that the diagonals are equal. If the diagonals are equal, the other …, By the definition of a parallelogram, opposite sides are parallel, so the trays of the sewing box are always parallel. Ex. 2: Proving Quadrilaterals are Parallelograms. Another Theorem ~ • Theorem 6.10—If one pair of opposite sides of a quadrilateral are congruent and parallel, then the quadrilateral is a parallelogram., For example, you might be shown a quadrilateral and be asked to prove that it is a parallelogram. Remember that a quadrilateral is a four-sided flat shape. A parallelogram is a quadrilateral with two pairs of opposite, parallel sides. Looking at this shape, you might think that it is a parallelogram, but unless the problem specifically tells ..., What are the ways to prove a quadrilateral is a parallelogram? 1. Show both pairs of opposite sides are parallel. 2. Show that both pairs of opposite sides are congruent. 3. Show that both pairs of opposite angles are congruent. 4. Show that one pair of opposite sides are parallel and congruent., The opposite angles of a P-gram are congruent. Parallelogram Diagonal Theorem (PDT) The diagonals bisect each other in a P-gram. Parallel Lines Transversal Theorem (PLTT) If three or more transversals cut off one transversal, then the segments are congruent. Study with Quizlet and memorize flashcards containing terms like Converse of ... , The diagonal of a parallelogram creates alternate interior angles. A parallelogram is a quadrilateral. A quadrilateral is always a parallelogram. If a diagonal is drawn in a parallelogram, then two congruent triangles are formed. Study with Quizlet and memorize flashcards containing terms like parallelogram, Select all that apply., Jun 27, 2013 ... You can prove that it is a parallelogram by showing that it has two pairs of parallel sides; however, you can also use other properties that are ..., one pair of opposite sides are congruent and parallel. diagonals bisect eachother. One angle is supplementary to both consecutive angles. two pairs of opposite angles are congruent. 6-4 Proving a Quadrilateral is a Parallelogram. Click the card to flip 👆. two pairs of opposite sides are congruent. Click the card to flip 👆., Draw a picture of each quadrilateral, to determine if it is a parallelogram by one of the following reasons. Be able to explain your selection. Opposite sides congruent. Opposite angles congruent. Diagonals bisect each other. One pair of opposite sides is both parallel and congruent. Both pairs of opposite sides are parallel. 22) In ...