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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

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.4: Mathematical Induction
Problem 46E
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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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