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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Use the following diagram and information to complete the proof.
Given: ABCD is a rectangle.
Prove: The diagonals AC and BD are congruent.
D
C'
A
© 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 E 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.
Transcribed Image Text:Use the following diagram and information to complete the proof. Given: ABCD is a rectangle. Prove: The diagonals AC and BD are congruent. D C' A © 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 E 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.
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