Given: Parallelogram LIFE Prove: Z1 and ZF are supplementary ZF and ZE are supplementary ZE and ZL are supplementary ZL and Z1 are supplementary Proof

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter5: Similar Triangles
Section5.2: Similar Polygons
Problem 11E: a Does the similarity relationship have a reflexive property for triangles and polygons in general?...
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1. Parallelogram Property 3. In a parallelogram, any two consecutive angles are supplementary.
Given: Parallelogram LIFE
Prove: ZI and ZF are supplementary
ZF and ZE are supplementary
ZE and ZL are supplementary
ZL and Z1 are supplementary
Proof:
Statements
Reasons
1.
1
Given
2.
2. LI| FE
Z1 and ZF are supplementary.
3.
4. Z ZE; ZF= ZL
4
An angle that is supplementary to one of two
congruent angles is supplementary to the other also.
5.
5.
Transcribed Image Text:1. Parallelogram Property 3. In a parallelogram, any two consecutive angles are supplementary. Given: Parallelogram LIFE Prove: ZI and ZF are supplementary ZF and ZE are supplementary ZE and ZL are supplementary ZL and Z1 are supplementary Proof: Statements Reasons 1. 1 Given 2. 2. LI| FE Z1 and ZF are supplementary. 3. 4. Z ZE; ZF= ZL 4 An angle that is supplementary to one of two congruent angles is supplementary to the other also. 5. 5.
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