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Use your notes to help you practice these problems. Show all of your work needed for each question.
Use your notes to help you practice these problems. Show all of your work needed for each question.
Complete the proofs using the most appropriate method. Some may require CPCTC.
Given: WY bisects ∠XYZ, ∠WXY ≅ ∠WZY
Prove: WZ ≅ WX
Statements Reasons
1. 1. given
2. 2. given
3. ∠XYW ≅ ∠ZYW 3.
4. 4. reflexive property
5.△EFG ≅ △IHG 5.
6. 6. CPCTC
Determine if the triangles can be proved congruent, if possible, by SSS, SAS, ASA, AAS, or HL. Write your answer on the line provided. If not congruent, write “not congruent.”
Determine if the triangles can be proved congruent, if possible, by SSS, SAS, ASA, AAS, or HL. Write your answer on the line provided. If not congruent, write “not congruent.”
Determine if the triangles can be proved congruent, if possible, by SSS, SAS, ASA, AAS, or HL. Write your answer on the line provided. If not congruent, write “not congruent.”
Determine if the triangles can be proved congruent, if possible, by SSS, SAS, ASA, AAS, or HL. Write your answer on the line provided. If not congruent, write “not congruent.”
Determine if the triangles can be proved congruent, if possible, by SSS, SAS, ASA, AAS, or HL. Write your answer on the line provided. If not congruent, write “not congruent.”
Determine if the triangles can be proved congruent, if possible, by SSS, SAS, ASA, AAS, or HL. Write your answer on the line provided. If not congruent, write “not congruent.”
Complete the proofs using the most appropriate method. Some may require CPCTC.
Prove: △ABC ≅ △DCB
Statements Reasons
1. 1. given
2. AC ∥ DB 2.
3. ∠ACB ≅ ∠DBC 3.
4. 4. reflexive property
5. △ABC ≅ △DCB 5.
Complete the proofs using the most appropriate method. Some may require CPCTC.
Given: ∆EFG and ∆IHG are right triangles, G is the midpoint of EI,
Prove: △EFG ≅ △IHG
Statements Reasons
1.∆EFG and ∆IHG are right triangles 1.
2. 2. given
3. 3. given
4. EG≅IG 4.
5. △EFG ≅ △IHG 5.
Complete the proofs using the most appropriate method. Some may require CPCTC.
Given: KJ ∥ MN, L is the midpoint of JM
Prove: ∠JKL ≅ ∠MNL
Statements Reasons
1.KJ ∥ MN 1.
2. 2. given
3. ∠J ≅ ∠M 3.
4. 4. def. of midpoint
5. ∠KLJ ≅ ∠NLM 5.
6. △JKL ≅ △MNL 6.
7. 7. CPCTC
Complete the proofs using the most appropriate method. Some may require CPCTC.
Given: P is the midpoint of OQ, OR ≅ PS, RP≅SQ
Prove: ∠OPR ≅ ∠PQS
Statements Reasons
1. 1. given
2. 2. given
3. 3. given
4. OP ≅ PQ 4.
5. △OPR ≅ △PQS 5.
6. 6.