Given: ABCD is a parallelogram Show: LA = LC ABCD is a parallelogram Given AB | CD Definition of Parallelogram AD || CB Definition of Parallelogram LCDB LABD 1 DB DB Reflexive theorem ZADB=LCBD 2 D ACDB AABD 3 B ZA = LC 4

Given: ABCD is a parallelogram Show: LA = LC ABCD is a parallelogram Given AB | CD Definition of Parallelogram AD || CB Definition of Parallelogram LCDB LABD 1 DB DB Reflexive theorem ZADB=LCBD 2 D ACDB AABD 3 B ZA = LC 4

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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Question

state the reasons

Given: ABCD is a parallelogram
Show: LA = LC
ABCD is a parallelogram
Given
AB | CD
Definition of
Parallelogram
AD || CB
Definition of
Parallelogram
LCDB LABD
1
DB DB
Reflexive
theorem
ZADB=LCBD
2
D
ACDB AABD
3
B
ZA = LC
4

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