Free Printable Intro to Proofs (Algebraic, Segment, Angle)

1.

Which property, definition, postulate, or theorem justifies the following statement?
If $3x-17=26$ , then $3x=33$ .

a)

Segment Addition Postulate

b)

Addition Property of Equality

c)

Transitive Property of Equality

d)

Subtraction Property of Equality

2.

Which property, definition, postulate, or theorem justifies the following statement?

$\overline{MN}\cong\overline{MN}$

a)

Reflexive Property of Congruence

b)

Symmetric Property of Congruence

c)

Transitive Property of Congruence

d)

Segment Congruences Property

3.

Which property, definition, postulate, or theorem justifies the following statement?

If K is between J and L, then $JK\ +\ KL\ =JL$ .

a)

Segment Addition Postulate

b)

Definition of Midpoint

c)

Complement Theorem

d)

Addition Property of Equality

4.

Which property, definition, postulate, or theorem justifies the following statement?

If $CD+EF=HI$ and $EF=MN$ , then $CD+MN=HI$ .

a)

Transitive Property of Equality

b)

Addition Property of Equality

c)

Segment Addition Postulate

d)

Substitution Property

5.

Which property, definition, postulate, or theorem justifies the following statement?

If $\angle RST\cong\angle LMN$ , then $\angle LMN\cong\angle RST$ .

a)

Reflexive Property of Congruence

b)

Definition of Congruence

c)

Symmetric Property of Congruence

d)

Congruent Complements Theorem

6.

Which property, definition, postulate, or theorem justifies the following statement?

If $\overline{FG}\cong\overline{GH}$ , then $FG=GH$ .

a)

Definition of Congruence

b)

Definition of Midpoint

c)

Midpoint Congruence Theorem

d)

Symmetric Property of Congruence

7.

Which property, definition, postulate, or theorem justifies the following statement?

$3\left(5a-1\right)=15a-3$

a)

Multiplication Property of Equality

b)

Reflexive Property of Equality

c)

Distributive Property

d)

Substitution Property

8.

Which property, definition, postulate, or theorem justifies the following statement?

If $\angle A$ and $\angle B$ form a linear pair, then $\angle A$ and $\angle B$ are supplementary.

a)

Supplement Theorem

b)

Definition of Supplementary Angles

c)

Congruent Supplements Theorem

d)

Definition of Congruence

9.

Which property, definition, postulate, or theorem justifies the following statement?

If $MP=PN$ and M, N, and P are collinear, then P is the midpoint of $\overline{MN}$ .

a)

Segment Addition Postulate

b)

Reflexive Property of Equality

c)

Definition of Midpoint

d)

Definition of Congruence

10.

Which property, definition, postulate, or theorem justifies the following statement?

If $\angle R$ is supplementary to $\angle S$ and $\angle R$ is supplementary to $\angle T$ , then $\angle S\cong\angle T$ .

a)

Congruent Supplements Theorem

b)

Supplements Theorem

c)

Definition of Supplementary Angles

d)

Transitive Property of Congruence

11.

Which property, definition, postulate, or theorem justifies the following statement?

If $l\perp k$ , then $m\angle1=90\degree$ .

a)

Definition of Right Angle

b)

Complement Theorem

c)

Definition of Perpendicular Lines

d)

Definition of Complementary Angles

12.

Which property, definition, postulate, or theorem justifies the following statement?

If $\angle GHI$ is a right angle, then $\angle GHJ$ and $\angle JHI$ are complementary.

a)

Definition of Complementary Angles

b)

Angle Addition Postulate

c)

Congruent Complements Theorem

d)

Complement Theorem

13.

Which property, definition, postulate, or theorem justifies the following statement?

If $3x+1=y$ and $y=22$ , then $3x+1=22$ .

a)

Transitive Property of Congruence

b)

Symmetric Property of Congruence

c)

Symmetric Property of Equality

d)

Transitive Property of Equality

14.

Which property, definition, postulate, or theorem justifies the following statement?

If $-5x=-90$ , then $x=18$ .

a)

Multiplication Property of Equality

b)

Division Property of Equality

c)

Symmetric Property of Equality

d)

Substitution Property

15.

Which property, definition, postulate, or theorem justifies the following statement?

If $m\angle1+m\angle2=90$ , then $\angle1$ and $\angle2$ are complementary.

a)

Definition of Supplementary

b)

Supplement Theorem

c)

Complement Theorem

d)

Definition of Complementary Angles

16.

Which property, definition, postulate, or theorem justifies the following statement?

If $\angle K$ is a right angle, then $m\angle K=90\degree$ .

a)

Complement Theorem

b)

Definition of Right Angle

c)

Right Angle Theorem

d)

Definition of Perpendicular Lines

17.

Which property, definition, postulate, or theorem justifies the following statement?

Given the picture above, $\angle1\cong\angle2$ .

a)

Vertical Angle Theorem

b)

Definition of Congruence

c)

Supplement Theorem

d)

Definition of Vertical Angles

18.

Which property, definition, postulate, or theorem justifies the following statement?

If $\overrightarrow{EG}$ is an angle bisector, then $\angle DEG\cong\angle GEF$ .

a)

Symmetric Property of Congruence

b)

Definition of Congruence

c)

Angle Addition Postulate

d)

Definition of Angle Bisector

19.

Which property, definition, postulate, or theorem justifies the following statement?

If $SR+RQ=SQ$ , then $SR=SQ-QR$ .

a)

Segment Addition Postulate

b)

Addition Property of Equality

c)

Subtraction Property of Equality

d)

Transitive Property of Equality

20.

Which property, definition, postulate, or theorem justifies the following statement?

Given the figure above, $m\angle DEG+m\angle GEF=m\angle DEF$ .

a)

Angle Addition Postulate

b)

Definition of Angle Bisector

c)

Definition of Complementary Angles

d)

Supplement Theorem

Intro to Proofs (Algebraic, Segment, Angle)

Total questions: 20

Worksheet time: 40mins

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