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Geometry Angle Proofs

Total questions: 13

Worksheet time: 13mins

Name
Class
Date
1.

What is the "statement" for step 2 of the proof?

a)

∆BAC≅∆DAC

b)

BC=DC

c)

∡B≅∡D

d)

∡BAC≅∡DAC

2.

Name the property.
If A is in the interior of <BDC, then m<BDA + m<ADC = m<BDC. 

a)

Reflexive

b)

Transitive

c)

Segment Addition Postulate

d)

Angle Addition Postulate

3.

If <1 and <2 are complementary, then m<1 + m<2 = 90

a)

Addition POE

b)

Subtraction POE

c)

Def of right angle

d)

Def of Complementary Angles

4.

IF <ABC ≅ <DEF, then m<ABC = m<DEF

a)

Reflexive POE

b)

Addition POE

c)

Def. of congruent angles

d)

Def. of right angles

5.

Identify the  missing statement or reason

a)

Reflexive Property

b)

Definition of Midpoint

c)

Given

d)

Vertical Angles Theorem

6.

Identify the  missing statement or reason

a)

Given

b)

Vertical Angles Theorem

c)

Definition of Angle Bisector

d)

Alternate Interior Angles Theorem

7.

Identify the  missing statement or reason

a)

Definition of Angle Bisector

b)

Alternate Interior Angles Theorem

c)

Reflexive Property

d)

Definition of Midpoint

8.

What would be the correct "given" statements for this diagram?

a)

∡A≅∡C, and segment DB is the angle bisector of ∡CDA

b)

BD=BD, and DB=DB

c)

∡A≅∡C, and segment DB is the angle bisector of ∡CBA

d)

∡B≅∡D, segment DB is the angle bisector of ∡DCA.

9.

What is the "statement" for step 3 of the proof?

a)

HA=HA

b)

HA=AH

c)

MA=AM

d)

MA=MA

10.

What is the REASON for Statement #2?

a)

Given

b)

Definition of Complementary Angles

c)

Substitution Property

d)

Reflexive Property of Congruence

11.

What is the REASON for Statement #4?

a)

Substitution Property

b)

Distributive Property

c)

Transitive Property

d)

Combine Like Terms

12.

What is the reason?

a)

Definition of perpendicular

b)

Definition of Right angle

c)

Definition of 90 

d)

Definition of angle

13.

What is the REASON for Statement #5?

a)

Addition Property of Equality

b)

Subtraction Property of Equality

c)

Multiplication Property of Equality

d)

Division Property of Equality