Fill in the missing statement and reason of the proof below. Given: LBDE LCDE and BD CD. Prove: LABD LACD. Step Statement 2 3 4 S 6 LBDE LCDE BD CD LADB and LBDE are supplementary LADC and LCDE are supplementary Type of Statement AD AD AADB AADC LABD LACD Reason Given If two angles form a linear pair, then they are supplementary If two angles form a linear pair, then they are supplementary Reflexive Property SAS Corresponding Parts of Congruent Triangles are Congruent (CPCTC)
Fill in the missing statement and reason of the proof below. Given: LBDE LCDE and BD CD. Prove: LABD LACD. Step Statement 2 3 4 S 6 LBDE LCDE BD CD LADB and LBDE are supplementary LADC and LCDE are supplementary Type of Statement AD AD AADB AADC LABD LACD Reason Given If two angles form a linear pair, then they are supplementary If two angles form a linear pair, then they are supplementary Reflexive Property SAS Corresponding Parts of Congruent Triangles are Congruent (CPCTC)
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
Section3.1: Congruent Triangles
Problem 6E: In a right triangle, the sides that form the right angle are the legs; the longest side opposite the...
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Transcribed Image Text:Apr 24, 1E03:54 AM
Fill in the missing statement and reason of the proof below.
Given: LBDE
LCDE and BD = CD.
Prove: LABD ZACD.
Step
Statement
Reason
1
Given
2
If two angles form a linear pair, then they are supplementary
If two angles form a linear pair, then they are supplementary
3
4
5
Reflexive Property
6
SAS
7
Corresponding Parts of Congruent Triangles are Congruent
(CPCTC)
B
D
ZBDE
BD CD
LADB and LBDE are supplementary
ZADC and LCDE are supplementary
Type of Statement
AD
AD
AADB AADC
ZABD ZACD
ZCDE
eMissing Step
E
74°F
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