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Cpctc Proof Practice

Total questions: 11

Worksheet time: 11mins

Name
Class
Date
1.

If ∆SOK ≅ ∆LMT, then

∠K ≅ ____

a)

∠S

b)

∠T

c)

∠M

d)

∠L

2.

∠A = ≅

a)

∠M

b)

∠N

c)

∠L

3.
Question Image

Match each angle or segment with its corresponding, congruent part.

a)

∡ EGF

1.

∡ HFG

b)

∡ EFG

2.

∡ HGF

c)

∡ FIE

3.

∡ GIH

d)

FH‾\overline{FH}

4.

GE‾\overline{GE}

e)

GI‾\overline{GI}

5.

FI‾\overline{FI}

4.
Question Image

Based on the image, match the given angles or segments with their corresponding, congruent parts.

a)

∡ EFI

1.

∡ GFH

b)

∡ H

2.

∡ I

c)

GH‾\overline{GH}

3.

EI‾\overline{EI}

d)

FG‾\overline{FG}

4.

FE‾\overline{FE}

e)

HF‾\overline{HF}

5.

IF‾\overline{IF}

5.

Which of the following is a correct congruence statement for the triangles in the image?

a)

ΔOGD≅ΔPRC\Delta OGD\cong\Delta PRC

b)

ΔGOD≅ΔCPR\Delta GOD\cong\Delta CPR

c)

ΔODG≅ΔCRP\Delta ODG\cong\Delta CRP

d)

ΔGDO≅ΔRPC\Delta GDO\cong\Delta RPC

6.

Which of the following is a correct congruence statement for the triangles in the image?

a)

ΔCAR≅ΔGEO\Delta CAR\cong\Delta GEO

b)

ΔCAR≅ΔEGO\Delta CAR\cong\Delta EGO

c)

ΔARC≅ΔGEO\Delta ARC\cong\Delta GEO

d)

ΔARC≅ΔEGO\Delta ARC\cong\Delta EGO

7.

Which of the following is a correct congruence statement for the triangles in the image?

a)

ΔGED≅ΔEGF\Delta GED\cong\Delta EGF

b)

ΔDEG≅ΔFEG\Delta DEG\cong\Delta FEG

c)

ΔDGE≅ΔFGE\Delta DGE\cong\Delta FGE

d)

ΔDEG≅ΔEFG\Delta DEG\cong\Delta EFG

8.

Identify a common side

a)

JK

b)

MJ

c)

LK

9.

The red and blue triangles are congruent. Identify a common side or angle.

a)

Side DF

b)

Side EF

c)

Angle G

d)

Angle E

10.

The red and blue triangles are congruent. Identify a common side or angle.

a)

Side XY

b)

Side XZ

c)

Angle TWZ

d)

Side YT

11.

The red (ΔKNM) and blue (ΔPLM) triangles are congruent. Identify a common angle.

a)

Angle M

b)

Angle P

c)

Angle K

d)

Angle MLP