Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN: 9781337614085
Author: Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher: Cengage,
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25. Given: JK = LK; LJYL and ZLXJ are right angles.
Prove: JY = LX
Proof:
Statements
Reasons
1. ZKJL = ZKLJ
1.
2. JL = LJ
2.
3. ZJYL and ZLXJ
3. Given
are rt. 4.
4. ZJYL = ZLXJ
4.
5. AJYL = ALXJ
5.
6. JY = LX
6.
Select all that are valid reasons for this proof
СРСТС
Base angles theorem
f.
a.
e.
Reflexive Property of Congruence
Third Angles Theorem
All right angles are congruent
b.
Symmetric Property of Congruence
AAS Congruence theorem
ASA Congruence theorem
с.
g.
h.
d.
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Transcribed Image Text:25. Given: JK = LK; LJYL and ZLXJ are right angles. Prove: JY = LX Proof: Statements Reasons 1. ZKJL = ZKLJ 1. 2. JL = LJ 2. 3. ZJYL and ZLXJ 3. Given are rt. 4. 4. ZJYL = ZLXJ 4. 5. AJYL = ALXJ 5. 6. JY = LX 6. Select all that are valid reasons for this proof СРСТС Base angles theorem f. a. e. Reflexive Property of Congruence Third Angles Theorem All right angles are congruent b. Symmetric Property of Congruence AAS Congruence theorem ASA Congruence theorem с. g. h. d.
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