Prove: ABGC AEID. Step Statement 1 2 3 4 5 6 7 8 9 LABG LFEI CH HD BC DE LHCD LHDC LBCG LHCD LEDI ZHDC LBCG LEDI LABG and LCBG are supplementary LFEI and DEI are supplementary Type of Statement ABGC AEID B C and BC DE. Reason Given In a triangle, angles opposite of congruent sides are congruent Vertical angles are congruent Vertical angles are congruent Transitive Property If two angles form a linear pair, then they are supplementary If two angles form a linear pair, then they are supplementary ASA F H D

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter3: Triangles
Section3.2: Corresponding Parts Of Congruent Triangles
Problem 43E
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Given: LABG
Prove: ABGC
Step
(4
3
4
5
8
9
LFEI, CH = HD and BC DE.
AEID.
Reason
Given
In a triangle, angles opposite of congruent sides are congruent
Vertical angles are congruent
Vertical angles are congruent
Transitive Property
If two angles form a linear pair, then they are supplementary
If two angles form a linear pair, then they are supplementary
ASA
E
F
Statement
LABG LFEI
CH2 HD
BC DE
LHCD = LHDC
LBCG
ZHCD
LEDI
ZHDC
LBCG LEDI
LABG and ZCBG are supplementary
LFEI and ZDEI are supplementary
Type of Statement
ABGC AEID
B
the
C
H
D
Transcribed Image Text:Given: LABG Prove: ABGC Step (4 3 4 5 8 9 LFEI, CH = HD and BC DE. AEID. Reason Given In a triangle, angles opposite of congruent sides are congruent Vertical angles are congruent Vertical angles are congruent Transitive Property If two angles form a linear pair, then they are supplementary If two angles form a linear pair, then they are supplementary ASA E F Statement LABG LFEI CH2 HD BC DE LHCD = LHDC LBCG ZHCD LEDI ZHDC LBCG LEDI LABG and ZCBG are supplementary LFEI and ZDEI are supplementary Type of Statement ABGC AEID B the C H D
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