Complete the following proof. Given: WXYZ is a rectangle Prove: ZX = WY W. Statements Reasons 1. Given 1. WXYZ is a rectangle. 2. WXYZ is a parallelogram. 2. Definition of a rectangle 3. Opposite sides of a parallelogram are congruent. 3. WZ XY 4. ZWZY and 2XYZ are right angles. 4. Definition of a rectangle 5. All right angles are congruent. 5. 6. ZY = YZ 6. 7. AWZY÷AXYZ 7. SAS Triangle Congruence Theorem 8. ZX = WY 8. СРСТС

Q: Complete the two-column proof to show that same-side exterior angles are supplementary. 5. Given: p…

A: Congruent Angles Theorem.

Q: 3. Using only the indicated markings, which theorem justifies a conclusion that the triangles are…

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Q: 9. If ON bisects ZPQR and N is the midpoint of PR classify each triangle by its angles and sides. а.…

A: Consider the given figure. QN¯ bisects ∠PQR and N is the midpoint of PR¯. a. Consider the triangle…

Q: Suppose AQRS and ATUV are congruent right triangles such that ZR is a right angle and ZV = 35°. What…

A: Given △QRS and △TUV are congruent triangles such that ∠R is a right angle and ∠V=35°. To find: ∠T…

Q: The perpendicular bisector of the sides of AABCintersect at X. If the distance from B to X is 2/15,…

A: We have to find

Q: Drag the postulate or theorenm that proves the triangles are congruent. b AOKR AAHR a. ATSU AXVW…

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Q: 15. What theorem would be used to prove the triangles below congruent? V W Y. z- SSS SAS AAA SSA

A: Side angle side (SAS)  If two sides and the included angle of one triangle are equal to two sides…

Q: Consider the following figure. W S Given: pentagon RSTVW with mzVRS = mzVSR = 60°, RS = 14/2, and…

A: angle VRS and angle VSR are 60° and side RS = 14√2 units Hence, triangle VRS is an equilateral…

Q: To prove that the triangles are similar by the SAS similarity theorem, it needs to be proven that In…

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Q: . Given: ZABC is supplementary to ZCBD BÉ bisects ZABC BÉ bisects ZCBD Prove: ZEBF is a right angle…

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Q: Use the given information to complete the proof of the following theorem. The angles opposite the…

A: Given problem:-

Q: 2. Use a ruler to measure the dimensions of he triangle shown to the nearest 0.5 entimeter. Vhich of…

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Q: Fill in the reasons to complete the following proof. Given: AB || DC, AB DC Prove: M is the midpoint…

A: It is given that BM≅DM,AM≅CM. That is, the distance between the DM and BM is same and AM and CM is…

Q: Tis the midpoint of SU, SV N TW, and UW TV. Complete the proof that ASTV E ATUW. T. W Statement…

A: solution = T is the midpoint of SU = given  SV  ≅TW¯ = given UW ¯ ≅ TV¯ =given ST¯ ≅ TU¯ =…

Q: Which two triangles are congruent by the SAS Theorem? Complete the congruence statement. R D K A O…

A: The SAS rule states that two triangles are similar if the ratio of their corresponding two sides is…

Q: Which of the following methods would not be used to prove that two triangles are congruent? O A.…

A: No . The answer to the question is option B . If we prove that the three angles of the triangles…

Q: Use the following theorem to construct a triangle similar to the given triangle but with sides that…

A: We need to construct a similar triangle to the given triangle so that the sides should be in…

Q: Which of the following statements is false? OA. A rhombus is a quadrilateral. OB. Opposite angles in…

A: We are asked to find which statement is false.

Q: Which statement describes the construction being illu on the rectangle shown? E A G O A line segment…

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Q: 4. Pictured below is quadrilateral QRST. Which statement is NOT sufficient to prove that QRST is a…

A: Answer:A    The letters are not in the correct order in option A the rest of the answers can prove…

Q: Which statement is true if AMNP - AXYZ? A. Corresponding angles of A MNP and A XYZ are always…

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Q: Based on the image below, which theorem/postulate would prove triangle a RST and RUT congruent by…

A: Here , RT is perpendicular bisector of SU .

Q: 2. Circe the theorem, if any, that can be used to prove the two triangles are congruent. A E F D a.…

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Q: Which two triangles are congruent by the SAS Theorem? Complete the congruence statement. H HIG E XYV…

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Q: Drag the postulate or theorem that proves the triangles are congruent. b. AOKR e AAHR C. AZWX EAYXW…

A: Solution of all three parts are given .

Q: L is the midpoint of KN and MP, which rule will be used to justify and prove that both triangles are…

A: Two triangles are said to be congruent if their corresponding sides are of equal length and their…

Q: Complete the following two-column proof using the drop down menu options. Statements Reasons 1…

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Q: 2. Given that ST bisects zs, which must you use to determine that the triangles below are congruent?…

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Q: Consider the diagram to the right below and complete the proof below. E E is the midpoint of AT…

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Q: Suppose ZC LB, ZD LA, AE BE and CE- DE Does that prove that the triangles are congruent? Justify…

A: We have to solve

Q: 2. Given: ABCD is a parallelogram, DE I AF, and CF 1 AF Prove: DE = CF D C Statement Reason A E

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Q: Which postulate proves the two triangles are congruent? A. HL B. SAS C. ASA D. none

A: Both the traingles have AD as common side.

Q: Which postulate proves the two triangles are congruent? A. HL B. AAS C. SAS D. none

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Q: Given:XW=XY Statement Reason WZ=YZ Prove: AXWZ -ΔΥΥΖ w Y

A: (SSS Postulate): If each side of one triangle is congruent to the corresponding side of another…

Q: In the proof below, one of the statements is XW = YZ. What is the reason for this statement? Given:…

A: The given data is: ∆XWZ≅∆XYZ, and ∆WZY≅∆WXY To prove: Quadrilateral XYZW is a parallelogram.

Q: AV 4. J 4a- If the triangles are congruent, write the name of the congruent triangles: 4b- If the…

A: To solve the congruency problem and state the postulate or Theorem.

Q: Fill in the reasons to complete the following proof. Given: AB || DC, AB DOC Prove: M is the…

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Q: 1. Which of the following statements about the congruent triangles below is true? E 丰 丰 A C D F O AC…

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Q: Let AC and BD be two line segments that bisect each other at E, with AC & BD. Prove that ABCD......…

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Q: K 廿 S KL SQ O JK = RS O K E ZS O EL E LS

A: We have to find out which one is true

Q: 3. Given: ZB and ZD are right angles. E AE bisects BD Prove: AABC = AEDC B А

A: To prove that ∆ABC≈∆EDC

Q: - In the diagram below of AACT, D is the midpoint of AC, O is the midpoint at AT, and G is the…

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Q: Which of the following is not a valid reason to prove congruent triangles? O SAS O AAS O SSA O SSS

A: Concept used: The two triangles are congruent by the following rule of congruency. SAS…

Q: Consider the figure below. Abraham cut regular pentagon ABCDE into quadrilateral BEGC. A E D B G. C…

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Q: 1. Which of the following statements about the congruent triangles below is true? E 丰 C D A 丰 F O AC…

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Q: Suppose the following two triangles ABC and DEF are similar. Find the lengths of sides x and z (in…

A: Ratio of the length of the corresponding sides of two similar triangles will be same.

Q: 17. Complete the following proof. Given: WXYZ is a parallelogram. W X Y Prove: A XYZ EA ZWX…

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Q: State what additional information is required in order to know that the triangles are congruent for…

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