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.
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Question 1
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Question 2
2.
Question 3
3.
Question 4
4.
Question 5
5.
Question 6
6.
Question 7
7.
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.__________
Question 8
8.
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.__________
Question 9
9.
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
Question 10
10.
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
Question 11
11.
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.__________
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.”
Not congruent
HL
SAS
AAS
ASA
SSS
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.”
Not congruent
HL
SAS
AAS
ASA
SSS
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.”
ASA
SAS
Not congruent
SSS
HL
AAS
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.”
SSS
HL
AAS
ASA
Not congruent
SAS
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.”
ASA
SAS
HL
Not congruent
AAS
SSS
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.”
