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Worksheets

Angles Proofs

Total questions: 15

Worksheet time: 9mins

Name
Class
Date
1.
If ∠A and ∠B are complementary,
then m∠A + m∠B = 90°.
a)
Definition of Supplementary Angles
b)
Angle Addition Postulate
c)
Definition of Right Angle
d)
Definition of Complementary Angles
2.
Which postulate or definition states that
m∠ADB + m∠BDC = m∠ADC?
a)
Segment Addition Postulate
b)
Angle Addition Postulate
c)
Definition of Angle Bisector
d)
Definition of Congruent Angles
3.
∠4 = ∠4
a)
Substitution Property of Equality
b)
Reflexive Property of Equality
c)
Symmetric Property of Equality
d)
Transitive Property of Equality
4.
If ∠1 and ∠2 are supplementary,
then m∠1 + m∠2 = 180°.
a)
Definition of Supplementary Angles
b)
Angle Addition Postulate
c)
Vertical Angles Theorem
d)
Definition of Complementary Angles
5.
If ∠1 = ∠2 and ∠2 = ∠3, then ∠1 = ∠3.
a)
Addition Property of Equality
b)
Symmetric Property of Equality
c)
Reflexive Property of Equality
d)
Transitive Property of Equality
6.
If ∠BAT and ∠MAN are vertical angles,
then ∠BAT ≅ ∠MAN.
a)
Vertical Angles Theorem
b)
Definition of Congruent Angles
c)
Angle Addition Postulate
7.
If ∠CAT is a right angle, then m∠CAT = 90°.
a)
Definition of Right Angle
b)
Definition of Congruent Angles
c)
Angle Addition Postulate
d)
Segment Addition Postulate
8.
If AC ⟂ BD, then ∠DBC is a right angle.
a)
Definition of Perpendicular Lines
b)
Definition of Right Angle
c)
Angle Addition Postulate
d)
Segment Addition Postulate
9.
If DB bisects ∠ABC, then ∠ABD = ∠CBD.
a)
Definition of Congruent Angles
b)
Definition of Angle Bisector
c)
Angle Addition Postulate
d)
Definition of Right Angle
10.
If ∠DOG = ∠DOG, then m∠DOG ≅ m∠DOG.
a)
Definition of Congruent Angles
b)
Definition of Congruent Segments
c)
Angle Addition Postulate
d)
Vertical Angles Theorem
11.
a)

Definition of Supplementary

b)

Congruent Supplements Theorem

c)

Substitution Property

d)

Transitive Property

12.
a)
Definition of complementary angles
b)
Complement Theorem
c)
Definition of right angles
d)
Substition
13.

If <A and <B form a linear pair, then <A and <B are supplementary.

a)

Congruent Supplements Theorem

b)

Supplement Theorem

c)

Definition of Supplementary Angles

d)

Definition of a Right Angle

14.

If ∠A is complementary to ∠B and ∠C is complementary to <B then ∠A≅∠C.

a)

Congruent Complements Theorem

b)

Complement Theorem

c)

Definition of Complementary

d)

Definition of Congruence

15.

If ∠ABC≅∠XYZ, then ∠XYZ≅∠ABC

a)

Transitive Property

b)

Symmetric Property

c)

Reflexive Property

d)

Addition Property