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4-6 Definition of Congruent Triangles (CPCTC)

Total questions: 11

Worksheet time: 36mins

Name
Class
Date
1.

What is the reason for statement #2?

a)

definition of angle bisector

b)

Angle Bisector Conjecture

c)

Reflexive Property

d)

Vertical Angles Conjecture

2.

What is statement #3?

a)

side GH is congruent to side FH

b)

side GF is congruent to side IF

c)

side FH is congruent to side FH

3.

What is reason #2?

a)

Vertical Angles Conjecture

b)

definition of corresponding angles

c)

Parallel Lines Conj

d)

definition of alternate interior angles

4.

What is reason #4?

a)

Reflexive Property

b)

Definition of Midpoint

c)

Vertical Angles Conj

d)

definition of isosceles triangle

5.

What is reason #5?

a)

SSS  \cong  Conjecture

b)

SAS  \cong  Conjecture

c)

ASA  \cong  Conjecture

d)

AAS  \cong  Conjecture

6.
What is statement #6?
a)
BC≅BC
b)
BC≅DA
c)
∠BCD≅BAC
d)
AB≅CD
7.

What is the "reason" for step 5 of the proof?

a)

Angle Bisector Conjecture

b)

Isosceles Triangle Conj.

c)

definition of congruent triangles

d)

Proof

8.

Why is ∠KMJ ≌∠LJM?

a)

definition of alternate exterior angles

b)

Parallel Lines Conjecture

c)

definition of corresponding angles

d)

definition of alternate interior angles

9.

Name the postulate, if possible, that makes the triangles congruent.

a)

SSS \cong Conj.

b)

SAS \cong Conj.

c)

AAS \cong Conj.

d)

Not possible to tell as SSA doesn't prove triangle congruence

10.

Identify the missing statement or reason

a)

Definition of Angle Bisector

b)

Parallel Lines Conj

c)

Reflexive Property

d)

Definition of Midpoint

11.

What does CPCTC stand for? (there are two possible answers here, you must chose ONE but see if you know BOTH)

a)

definition of congruent triangles

b)

Corresponding parts of congruent triangles are congruent

c)

Corresponding parts of corresponding triangles are corresponding

d)

Corresponding parts of congruent triangles are Canadian.