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Geometry - 4.7 Practice Congruence & Overlapping Triangles

Total questions: 12

Worksheet time: 31mins

Name
Class
Date
1.

Identify any common angles or sides for:

△CDG and △FCE

a)

∠C

b)

∠E

c)

∠F

d)

∠D

2.

Identify any common angles or sides for:

△GDE and △HED

a)

ED

b)

GD

c)

HD

3.

Identify any common angles or sides for:

△DEH and △DFG

a)

∠D

b)

∠DEH

c)

∠DFG

d)

DG

4.

Identify any common angles or sides for:

△ADC △BDC

a)

AB

b)

AC

c)

BD

d)

DC

5.

Identify any common angles or sides.

△EGH △EGF

a)

EH

b)

EF

c)

GH

d)

EG

6.

Identify any common angles or sides.

△KNM and △PLM

a)

∠M

b)

∠P

c)

∠K

d)

∠MLP

7.

Identify any common angles or sides.

△UXV and △VWU

a)

UX

b)

UW

c)

UV

d)

XV

8.

Given: CB ⊥ BD, DE ⊥ EC, CB ≅ DE

Prove: △DBC ≅ △CED

What is the missing reason for statement 3?

a)

HL Theorem

b)

Given

c)

All right angles are congruent.

d)

Reflexive Property

9.

Given: CB ⊥ BD, DE ⊥ EC, CB ≅ DE

Prove: △DBC ≅ △CED

What is the missing reason for statement 4?

a)

HL Theorem

b)

Given

c)

All right angles are congruent.

d)

Reflexive Property

10.

Given: CB ⊥ BD, DE ⊥ EC, CB ≅ DE

Prove: △DBC ≅ △CED

What is the missing reason for statement 5?

a)

HL Theorem

b)

Given

c)

All right angles are congruent.

d)

Reflexive Property

11.

Given: RS ≅ UT, RT ≅ US

Prove: △RST ≅ △UTS

What is the missing statement for reason 2?

a)

∠RMS ≅ ∠UMT

b)

SR ≅ TU

c)

ST ≅ ST

d)

RT ≅ US

12.

Given: RS ≅ UT, RT ≅ US

Prove: △RST ≅ △UTS

What is the missing reason for statement 3?

a)

ASA

b)

AAS

c)

SAS

d)

SSS