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Quiz 5.1-5.4 Review
Geometry
Name:_________________________________
Decide whether the given angles or sides are corresponding angles, corresponding sides, or
neither.
1. ∠C and ∠S
2. ̅̅̅̅
𝑆𝑅 and ̅̅̅̅
𝐷𝐸
̅̅̅̅
3. ̅̅̅̅
𝐶𝐸 and 𝑅𝑇
4. ∠D and ∠S
̅̅̅̅
5. ̅̅̅̅
𝐷𝐸 and 𝑆𝑇
6. ∠E and ∠T
For #7-9, the triangles at the right are congruent.
7. Identify all corresponding congruent angles.



8. Identify all corresponding congruent sides.



9. Write a congruence statement.
∆ _____ ≅ ∆ _______
In the diagram, ∆ABC ≅ ∆VTU. Find the indicated measure.
10. m ∠B =
11. AB =
12. m ∠T =
13. m ∠V =
In the diagram, ∆FGH ≅ ∆LMN.
14. MN =
15. GF =
16. m ∠N =
17. m ∠F =
In the diagram at the right, ∆ABC ≅ ∆PQR.
18. Mark every angle of the triangles to show the
corresponding congruent angles.
19. Mark every side of the triangles to show the
corresponding congruent sides.
Determine whether the triangles are congruent. If so, write a congruence statement.
20.
21.
Are the triangles congruent? Yes/no (circle one)
Are the triangles congruent? Yes/no (circle one)
If so, ∆YWX ≅ ∆_______
If so, ∆BCD ≅ ∆__________
Does the diagram give enough information to use the SSS congruence Postulate?
22.
23.
yes/no (circle one)
24.
yes/no (circle one)
yes/no (circle one)
Use the diagram shown to name the angle included between the two sides.
̅̅̅̅ and 𝐵𝐷
̅̅̅̅
25. 𝐴𝐵
̅̅̅̅ and 𝐵𝐶
̅̅̅̅
26. 𝐶𝐷
̅̅̅̅ and 𝐶𝐵
̅̅̅̅
27. 𝐴𝐶
̅̅̅̅ and 𝐴𝐷
̅̅̅̅
28. 𝐵𝐴
Decide whether there is enough information given to use the SAS congruence postulate.
29.
30.
31.
yes/no (circle one)
yes/no (circle one)
yes/no (circle one)
Based on the diagram, can you use the ASA or the AAS congruence postulate to show that
the two triangles are congruent?
32.
ASA or AAS? (circle one)
33.
ASA or AAS? (circle one)
34.
ASA or AAS? (circle one)
Name the postulate which could be used to show the triangles are congruent. Don’t forget to mark "free" sides
and angles! Fill in the congruence statement where indicated. Choices are: SSS, SAS, ASA, AAS, HL or none.
35.
36.
37.
38.
Postulate __________
Postulate __________
Postulate __________
Postulate __________
MON   ________
PQR   ________
LJK   ________
FED   ________
39.
40.
41.
42.
Postulate __________
Postulate __________
Postulate __________
Postulate __________
STR   ________
ZYX   ________
ADC   ________
ADC   ________
43.
44.
45.
46.
U
Postulate __________
Postulate __________
Postulate __________
Postulate __________
ABC   ________
PQR   ________
KJM   ________
UHS   ________
47.
48.
49.
Postulate __________
Postulate __________
Postulate __________
Fill in the blanks for the following proofs.
̅̅̅̅ ≅ 𝐶𝐷
̅̅̅̅ 𝐵𝐶
̅̅̅̅ ≅ 𝐴𝐷
̅̅̅̅
50. Given: 𝐴𝐵
Prove: ABC  CDA
Statements
1.
Reasons
_______
1. Given
2.
2. Given
3. ̅̅̅̅
AC ≅ ̅̅̅̅
CA
3.
4. ∆ABC ≅ ∆CDA
4.
51. Given: B is the midpoint of AE
B is the midpoint of CD
Prove: ABD  EBC
Statements
Reasons
1. B is the midpoint of AE
1.___________________________
̅̅̅̅
2. B is the midpoint of 𝐶𝐷
2.____________________________
3._______________________
3. Definition of midpoint
4._______________________
4. Definition of midpoint
5. ∠ABD ≅ ∠EBC
5. ___________________________
6. _______________________
6. SAS
52. Given: AB // CD , AB  CD
Prove: ABC  DCB
Statements
Reasons
1.̅̅̅̅̅
𝐴𝐵 // ̅̅̅̅
𝐶𝐷
1.___________________________
2. ______________________
2. Given
3._______________________
3. Reflexive
4. ∠ABC ≅ ∠DCB
4. ___________________________
5. ∆ABD ≅ ∆DCB
5. ___________________________
53. Given: ∠ACB and ∠ACD are right angles, ̅̅̅̅
𝐴𝐵 ≅ ̅̅̅̅
𝐴𝐷
Prove: ∆ABC ≅ ∆ADC
Statements
Reasons
1.∠ACB and ∠ACD are right angles
1.
2. _______________________
2. Given
3. _______________________
3. Definition of Right Triangles
4. ̅̅̅̅
𝐴𝐶 ≅ ̅̅̅̅
𝐴𝐶
4.
5. ∆ABC ≅ ∆ADC
5. ______________________________