Use the following diagram and information to complete the proof. Given: ABCD is a rectangle. Prove: The diagonals AC and BD are congruent. C. B O 2016 StrongMind. Created using GeoGebra. Match each numbered statement to the correct reason to complete the proof. 1. ABCD is a rectangle. 2. ABCD is a parallelogram. ZA is a right angle. ZB is a right angle. 3. AD BC 4. AB AB 5. ZA ZB 6. ADAB ACBA 7. AC BD : Given : Definition of a rectangle : Opposite sides of a parallelogram are congruent. : Reflective Property of Congruence : Right Angle Theorem : SAS Congruence Theorem Corresponding parts of congruent triangles are congruent. : ASA Congruence Theorem : Definition of parallelogram 1.
Use the following diagram and information to complete the proof. Given: ABCD is a rectangle. Prove: The diagonals AC and BD are congruent. C. B O 2016 StrongMind. Created using GeoGebra. Match each numbered statement to the correct reason to complete the proof. 1. ABCD is a rectangle. 2. ABCD is a parallelogram. ZA is a right angle. ZB is a right angle. 3. AD BC 4. AB AB 5. ZA ZB 6. ADAB ACBA 7. AC BD : Given : Definition of a rectangle : Opposite sides of a parallelogram are congruent. : Reflective Property of Congruence : Right Angle Theorem : SAS Congruence Theorem Corresponding parts of congruent triangles are congruent. : ASA Congruence Theorem : Definition of parallelogram 1.
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter4: Quadrilaterals
Section4.CT: Test
Problem 16CT: Complete the proof of the following theorem: The diagonals of an isosceles trapezoid are congruent....
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