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Worksheets

Properties of Congruence and Angles

Total questions: 14

Worksheet time: 7mins

Name
Class
Date
1.

If two angles are congruent then we know that the measures of these angles equal each other because the...

a)

Definition of an Angle Bisector

b)

Angle Congruence Theorem

c)

CPCF Theorem

d)

Corresponding Angles Postulate

2.

If we know that two lines are parallel then we can conclude that their corresponding angles are equal because the....

a)

Angle Congruence Theorem

b)

Transitive Property

c)

Corresponding Angles Postulate

3.

If t=m and m=b, then we know that t=b because the.....

a)

Symmetric Property

b)

Transitive Property

c)

Definition of a Midpoint

d)

Reflexive Property

4.

M is the midpoint of segment PQ,

we know that segment PM = segment MQ,

because the...

a)

Definition of a Midpoint

b)

Segment Congruence Theorem

c)

CPCF Theorem

5.

We know that the m∠1 = m∠3, because the......

a)

Definition of Congruence

b)

Angle Congruence Theorem

c)

Vertical Angles Theorem

d)

Linear Pair Theorem

6.

We know that ∠1 & ∠4 are supplementary because the...

a)

Linear Pair Theorem

b)

Definition of Supplementary Angles

c)

Definition of Complimentary Angles

7.

Given: k∥l,

therefore m∠3 = m∠7,

because the

a)

Corresponding Angles Postulate

b)

Angle Congruence Theorem

c)

Definition of Congruence

d)

Definition of an Angle Bisector

8.

Given: segment AB ≅ CD,

therefore AB = CD,

because the.......

a)

Reflexive Property

b)

Segment Congruence Theorem

c)

CPCF Theorem

d)

Definition of a Midpoint

9.

Ray KM is an angle bisector to ∠LKJ,

therefore m∠LKM = m∠MKL because the.....

a)

Angle Congruence Theorem

b)

Corresponding Angles Postulate

c)

Symmetric Property

d)

Definition of an Angle Bisector

10.

If C is the center of the circle,

we know that segment CI = segment CF,

because the.....

a)

CPCF Theorem

b)

Segment Congruence Theorem

c)

Definition of a Circle

11.

If ΔKMN is a rotation of ΔQRS,

then we know that ΔKMN≅ΔQRS,

because the......

a)

Symmetric Property

b)

Definition of Congruence

c)

CPCF Theorem

d)

Transitive Property

12.

Given: k∥ l

∠4 ≅ ∠6 because the.....

a)

Alternate Interior Angles Theorem

b)

Alternate Exterior Angles Theorem

c)

Same Side Interior Angles Theorem

13.

Given: k∥ l

∠2 ≅ ∠8 because the.....

a)

Alternate Interior Angles Theorem

b)

Alternate Exterior Angles Theorem

c)

Same Side Interior Angles Theorem

14.

Given: k∥ l

m∠2 + m∠5 = 180° because the.....

a)

Alternate Interior Angles Theorem

b)

Alternate Exterior Angles Theorem

c)

Same Side Interior Angles Theorem