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Wk 15 EOL Edit ME

Last updated about 5 hours ago

11 questions

Note from the author:

Use your notes to help you practice these problems. Show all of your work needed for each question.

Instructions

Use your notes to help you practice these problems. Show all of your work needed for each question.

Required

1

Required

1

Required

1

Required

1

Required

1

Required

1

Required

2

Required

3

Required

3

Question 9

9.

Required

3

Question 10

10.

Required

3

Question 1

1.

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.__________

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 

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.”

AAS

HL

SSS

Not congruent

SAS

ASA