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
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
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
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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