University:
Missouri State University
Course:
MTH 460 | College Geometry
Academic year:

2020
Views:

477

Pages:

2
Author:

Asa Carrillo

Name: Key Date: Quiz 3-2 Review Sheet - Congruent Triangles & CPCTC State the postulate or theorem you can use to prove the triangles congruent. If you can prove the triangles congruent, write the triangle congruence statement (when given vertices). If you cannot prove the triangles congruent, write not possible. 1) A B 2) 3) C SAS post AASthm. not possible 4) D + Y C N 5) B F 6) A B SSS pust E ASA post. E Determine what other information you need to prove the two triangles congruent using the specified method and write it in the form of a congruence statement. Then write a congruence statement for the triangles. T 7) H 8) D E Method: SAS Missing: JI IE Triangle = Statement: AHIJAGIE E Method: C AAS Missing: LEELT Triangle Statement: G Complete the following proofs. 9) Given: overline AB cong overline AD , LBAC = LDAC Prove: angle B cong angle D B D Statements overline AB cong overline AD , angle BAC cong angle DAC 2) overline AC cong overline AC 3) triangle BAC cong triangle DAC 4) angle B cong angle D Reasons C 1) Given 2) Reflexive Pap of 3) SAS post. 4) CPCT C 10) Given: overline KN | bisects overline fM s overline JK || overline NM Prove: Delta jKL cong Delta*MNL ] K N M L Statements 1) overline KN bisects overline JM i overline fK * 1 NM 2) Lis mldpoint of overline JM (3) overline JL cong overline LM 4) LK cong LNlo (LJ cong LM) 5) angle KLJ cong angle NLM 6) Delta jKL cong Delta*MNL , Reasons 1) Given 2) Def. of segment bisector 3) Def. of midpoint 4) Alternate Interior Angles thm. 5) Vertical Ls thm. 6) AASthm. * You could also do this proof in only 5 steps by leaving out step 5. Feel free to try this way. * (Use both pairs of Alt. Int L_{S} * If you want to name 2 right angles at the intersection of a set of perpendicular lines, what has to be your reason? I lines form 4 right angles