Quiz about Geometry Reasoning and Proof

Question 1

In the given proof, what are the reasons for step 1 and 2?

Accepted Answer

Angles that form a linear pair are supplementary.

Answer

Substitution

Answer

Reflexive Property of Congruence

Answer

Angles of equal measure are congruent.

Question 2

In the given proof, what is the reason for step 1?

Accepted Answer

Reflexive Property of Congruence

Answer

Angles that form a linear pair are supplementary.

Answer

Angles of Equal Measure are Congruent

Answer

Definition of a Perpendicular Bisector

Question 3

In the given proof, what is the statement for step 2?

Accepted Answer

$$AD≅DB$$

Answer

$$CD≅CD$$

Answer

$$m\angle ADC+m\angle BDC=180\degree$$

Answer

$$\angle ADC\cong\angle BDC$$

Question 4

In the given proof, what is the reason for step 2?

Accepted Answer

Reflexive Property of Congruence

Answer

Alternate Exterior Angle are Congruent

Answer

Angles that form a linear pair are supplementary.

Answer

Alternate Interior Angles are Congruent.

Question 5

How can you prove step #4?

Accepted Answer

Vertical angle theorem

Answer

Subtraction property of equality

Answer

Transitive property of congruence

Answer

Definition of supplementary angles

Question 6

How can you prove step #2?

Accepted Answer

Vertical angle theorem

Answer

Subtraction property of equality

Answer

Transitive property of congruence

Answer

Definition of supplementary angles

Question 7

What reason justifies statement #2?

Accepted Answer

Definition of Midpoint

Answer

Transitive Property

Answer

Addition Property

Answer

Segment Addition Postulate

Answer

Substitution Property

Question 8

How can you prove step #5?

Accepted Answer

Transitive property of congruence

Answer

Vertical angle theorem

Answer

Subtraction property of equality

Answer

Definition of supplementary angles

Question 9

Identify the missing statement or reason

Accepted Answer

Definition of Angle Bisector

Answer

Given

Answer

Vertical Angles Theorem

Answer

Alternate Interior Angles Theorem

Question 10

What is the "reason" for step 5 of the proof?

Accepted Answer

CPCTC Theorem

Answer

Angle Bisector Theorem

Answer

Reflexive property

Answer

Proof

Question 11

Rule that is accepted without proof.

Accepted Answer

Postulate

Answer

Theorem

Answer

Conditional Statement

Answer

Converse

Question 12

Name the property of equality or congruence that justifies going from the first statement to the second statement.

Accepted Answer

Transitive Property of Congruence

Answer

Reflexive Property of Congruence

Answer

Symmetric Property of Congruence

Answer

Distributive Property

Question 13

Since segment BD is part of both triangles, it is congruent to itself, what do we call this?

Accepted Answer

Reflexive

Answer

Substitution

Answer

Commutative

Answer

CPCTC

Question 14

What does it mean to bisect a segment or an angle?

Accepted Answer

Split it into 2 equal parts.

Answer

Split it into 3 equal parts.

Answer

Split into 4 equal parts.

Answer

Double it.

Question 15

In the given proof, what is the statement for step 2?

Accepted Answer

$$m∠3+m∠5=180°$$

Answer

Angles that form a linear pair are supplementary. $$m∠1+m∠3=180°$$

Answer

$$m∠1=m∠3$$

Answer

$$\angle3\cong\angle5$$

Geometry Reasoning and Proof

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics