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I. Proving Triangles Congruent: 1. Use AAS to prove the triangles congruent. Given: AD|| BC, AD a CB Prove: AAED ACEB 2. Given: KM 1 TE. JM a IM, 4IMK a LLMK Prove: AJKM ALKM 3. Given: AB = DE, ZC = ZF B Prove: AABC = ADEF E-

I. Proving Triangles Congruent: 1. Use AAS to prove the triangles congruent. Given: AD|| BC, AD a CB Prove: AAED ACEB 2. Given: KM 1 TE. JM a IM, 4IMK a LLMK Prove: AJKM ALKM 3. Given: AB = DE, ZC = ZF B Prove: AABC = ADEF E-

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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For each problem below, write a two-column proof on a separate piece of paper. I. Proving Triangles Congruent: 1. Use AAS to prove the triangles congruent. Given: AD || BC, AD CB Prove: ΔΑEDΔEΒ 5. Given: B is the midpoint of DC. AB 1 DC Prove: ΔΑBDΔΑΒC B. 2. Given: KM 1 JL, JM = IM, ZJMK= ZLMK Prove: AJKM ALKM 3. Given: AB = DE, ZC= ZF Prove: AABC =ADEF 6. Use AAS to prove the triangles congruent. Given: ZR and ZP are right angles. QR || SP Prove: AQPS = ASRQ R. 4. Given: JR = ML, ZJKI. = ZMLK Prove: AJKL a AMLK II. Using CPCTC 7. Given: Gis the midpoint of FH. EF = EH Prove: 21 22 10. Given: WX= XY = YZ= ZW Prove: ZW= 2Y Y 8. Given: LM bisects ZJLK. JL = KL Prove: M is the midpoint of JK. 11. Given: M is the midpoint of PQ and RS. Prove: QR = PS P M M 9. Given: AC = AD, CB = DB Prove: AB bisects ZCAD.
Transcribed Image Text:For each problem below, write a two-column proof on a separate piece of paper. I. Proving Triangles Congruent: 1. Use AAS to prove the triangles congruent. Given: AD || BC, AD CB Prove: ΔΑEDΔEΒ 5. Given: B is the midpoint of DC. AB 1 DC Prove: ΔΑBDΔΑΒC B. 2. Given: KM 1 JL, JM = IM, ZJMK= ZLMK Prove: AJKM ALKM 3. Given: AB = DE, ZC= ZF Prove: AABC =ADEF 6. Use AAS to prove the triangles congruent. Given: ZR and ZP are right angles. QR || SP Prove: AQPS = ASRQ R. 4. Given: JR = ML, ZJKI. = ZMLK Prove: AJKL a AMLK II. Using CPCTC 7. Given: Gis the midpoint of FH. EF = EH Prove: 21 22 10. Given: WX= XY = YZ= ZW Prove: ZW= 2Y Y 8. Given: LM bisects ZJLK. JL = KL Prove: M is the midpoint of JK. 11. Given: M is the midpoint of PQ and RS. Prove: QR = PS P M M 9. Given: AC = AD, CB = DB Prove: AB bisects ZCAD.
Triangle Congruence Worksheet #2 I. For each pair of triangles, tell which postulate, if any, can be used to prove the triangles congruent. 1. AAEB = ADEC 2. ACDE = AABF E В 3. ADEA = ABEC 4. AAGE = ACDF A B A F E D 5. ARTS = ACBA 6. AABC = AADC B A C R 7. АВАР АВСР Given: BD bisectsZABC 8. ASAT = ASAR A R A D
Transcribed Image Text:Triangle Congruence Worksheet #2 I. For each pair of triangles, tell which postulate, if any, can be used to prove the triangles congruent. 1. AAEB = ADEC 2. ACDE = AABF E В 3. ADEA = ABEC 4. AAGE = ACDF A B A F E D 5. ARTS = ACBA 6. AABC = AADC B A C R 7. АВАР АВСР Given: BD bisectsZABC 8. ASAT = ASAR A R A D
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