Name:____________________________________________________________________________
Geometry Common Core – Unit 5: Triangle Congruence
Geo CC Unit 4 Triangle Congruence
4.
In the diagram below, ∆PQR ≅ ∆STR.
1. In the diagram below, ∆ABC ≅ ∆DEF.
A.
B.
C.
D.
Complete the statement ∠A ≅ ? .
∠C
∠F
∠E
∠D
Complete the statement ∠Q ≅ ? .
A.
∠TRS
B.
∠T
C.
∠S
D.
∠PRQ
5.
2.
Given: ∆SUV ≅ ∆EVU
In the diagram below, ∆ABC ≅ ∆DEF.
Complete the statement ∠DFE ≅ ? .
A.
∠ACB
B.
∠CAB
C.
∠CBA
D.
∠ABC
Name three pairs of congruent angles and
three pairs of congruent sides.
3.
In the diagram below, ∆ABC ≅ ∆DEF.
Complete the statement BC ≅ ? .
A.
FD
B.
DE
C.
AC
D.
EF
6.
Two triangles are congruent if
A.
corresponding angles are congruent
B.
corresponding sides and
corresponding angles are congruent
C.
corresponding sides are proportional
D.
the angles in each triangle have a sum
of 180°
6
7.
What is the congruence
correspondence, if any, that will prove the
given triangles congruent?
A.
B.
C.
D.
ASA
SAS
SSS
none
8.
What is the congruence
correspondence, if any, that will prove the
given triangles congruent?
A.
B.
C.
D.
SSS
SAS
ASA
none
9.
What is the congruence
correspondence, if any, that will prove the
given triangles congruent?
10.
What is the congruence
correspondence, if any, that will prove the
given triangles congruent?
A.
B.
C.
D.
SSA
SAS
AAS
none
11.
What is the congruence
correspondence, if any, that will prove the
given triangles congruent?
A.
B.
C.
D.
AAS
SSA
SAS
none
12.
Which condition does not prove that
two triangles are congruent?
A.
SSA ≅ SSA
B.
SSS ≅ SSS
C.
ASA ≅ ASA
D.
SAS ≅ SAS
13.
Which statements could be used to
prove that ∆ABC and ∆A′B′C′ are congruent?
A.
∠A ≅ ∠A′, ∠B ≅ ∠B′, and ∠C ≅ ∠C′
B.
AB ≅ A′B′, BC ≅ B′C′, and ∠A ≅ ∠A′
C.
AB ≅ A′B′, ∠A ≅ ∠A′, and ∠C ≅ ∠C′
D.
∠A ≅ ∠A′, AC ≅ A′C′, and BC ≅ B′C′
A.
B.
C.
D.
SAS
AAS
HL
none
7
14.
In the accompanying diagram, ∆ABC
and ∆RST are right triangles with right angles
at B and S, respectively; AB ≅ RS and AC ≅ RT.
Which statement can be used to justify that
∆ABC ≅ ∆RST?
A.
ASA ≅ ASA
B.
HL ≅ HL
C.
SAS ≅ SAS
D.
SAA ≅ SAA
15.
In the accompanying diagram, B is the
midpoint of AC, DA ⊥ AC, EC ⊥ AC, and
DB ≅ EB.
Which method of proof may be used to prove
∆DAB ≅ ∆ECB?
A.
AAS ≅ AAS
B.
SAS ≅ SAS
C.
ASA ≅ ASA
D.
HL ≅ HL
16.
In the accompanying diagram of
quadrilateral QRST, RS ≅ ST, SR ⊥ QR, and
ST ⊥ QT.
Which method of proof may be used to prove
∆QRS ≅ ∆QTS?
A.
SAS
B.
HL
C.
AAS
D.
ASA
17.
In the accompanying diagram of
quadrilateral ABCD, diagonal AC bisects ∠BAD
and ∠BCD.
Which statement can be used to prove that
∆ABC ≅ ∆ADC?
A.
ASA ≅ ASA
B.
HL ≅ HL
C.
SSS ≅ SSS
D.
SAS ≅ SAS
8
18.
The pair of triangles below have two
corresponding parts marked as congruent.
What additional information is needed for a
SAS congruence correspondence?
A.
AN ≅ OM
B.
DA ≅ MO
C.
DA ≅ TO
D.
ND ≅ TO
19.
The pair of triangles below have two
corresponding parts marked as congruent.
ANSWERS:
1.
2.
3.
4.
5.
D
A
D
B
∠S ≅ ∠E, ∠SUV ≅ ∠VUE, ∠SUV ≅
∠UVE, SU ≅ VE, SV ≅ UE, VU ≅ VU
6. B
7. A
8. C
9. C
10. C
11. D
12. A
13. C
14. B
15. D
16. B
17. A
18. C
19. C
20. D
What additional information is needed for an
ASA congruence correspondence?
A.
∠A ≅ ∠M
B.
DA ≅ TO
C.
∠N ≅ ∠M
D.
∠A ≅ ∠O
20.
The pair of triangles below have two
corresponding parts marked as congruent.
What additional information is needed for an
ASA congruence correspondence.
A.
RQ ≅ TU
B.
RP ≅ SU
C.
∠R ≅ ∠U
D.
PQ ≅ TS
9