Free Printable Basic Proof Review

1.

Which property justifies the statement $\angle ABC\cong\angle ABC$

a)

Symmetric

b)

Reflexive

c)

Substitution

d)

Distributive

2.

What is ALWAYS the first line of a proof?

a)

The given

b)

The prove

c)

Depends on the proof

3.

Why is $\angle AEC\cong\angle BED$ ?

a)

Vertical angles are congruent

b)

All right angles are congruent

c)

If two angles are congruent then their supplements are congruent

d)

If two angles are congruent then their complements are congruent

4.

Which of the following justifies the statement that if $\angle A$ and $\angle B$ are right angles, then $\angle A\cong\angle B$ ?

a)

Vertical angles are congruent

b)

All right angles are congruent

c)

If two angles are congruent then their supplements are congruent

d)

If two angles are congruent then their complements are congruent

5.

Which property justifies the statement that if $AB=XY$ then $10AB=10XY$

a)

Addition

b)

Reflexive

c)

Multiplication

d)

Distributive

6.

Which is the correct order of reasons in an addition proof?

a)

Partition, Addition, Substitution

b)

Addition, Substitution, Partition

c)

Partition, Substitution, Addition

7.

Which of the following is the correct order for the reasons of a subtraction proof?

a)

Partition, Subtraction, Substitution

b)

Partition, Substitution, Subtraction

c)

Subtraction, Partition, Substitution

8.

What is the correct justification for if $\overline{BD}$ is the angle bisector of $\angle ABC$ , then $\angle ABD\cong\angle CBD$

a)

A midpoint divides a segment into two congruent segments

b)

An angle bisector divides an angle into two congruent angles

c)

All right angles are congruent

d)

Vertical angles are congruent

9.

Which reason justifies the statement if $B$ is the midpoint of $\overline{AC}$ then $\overline{AB}\cong\overline{BC}$

a)

A midpoint divides a segment into two congruent segments

b)

An angle bisector divides an angle into two congruent angles

c)

A segment bisector intersects a segment at its midpoint

d)

Substitution

10.

If $\overline{AB}\perp\overline{BC}$ then why is $\angle ABC$ a right angle?

a)

Perpendicular lines form right angles

b)

Complementary angles sum to 90

c)

Vertical angles are congruent

d)

All right angles are congruent

Basic Proof Review

Total questions: 10

Worksheet time: 6mins

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