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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 Symmetric Property of Congruence AAS Congruence theorem a. e. Reflexive Property of Congruence Third Angles Theorem All right angles are congruent b. f. C. g. h. d. ASA Congruence theorem

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 Symmetric Property of Congruence AAS Congruence theorem a. e. Reflexive Property of Congruence Third Angles Theorem All right angles are congruent b. f. C. g. h. d. ASA Congruence theorem

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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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.
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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