Introduction to Proof

Question 1

We are given that angle ABC and are congruent, and that angle GHI and angle DEF are congruent. By the , the measure of angle ABC is equal to the measure of angle DEF, and the measure of angle GHI is equal to the measure of angle DEF. By the substitution property, the measure of angle ABC is equal to .

Revolt · Accepted Answer

angle DEF

Question 2

We are given that angle ABC and are congruent, and that angle GHI and angle DEF are congruent. By the , the measure of angle ABC is equal to the measure of angle DEF, and the measure of angle GHI is equal to the measure of angle DEF. By the substitution property, the measure of angle ABC is equal to .

Revolt · Accepted Answer

definition of congruent angles

Question 3

We are given that angle ABC and are congruent, and that angle GHI and angle DEF are congruent. By the , the measure of angle ABC is equal to the measure of angle DEF, and the measure of angle GHI is equal to the measure of angle DEF. By the substitution property, the measure of angle ABC is equal to .

Revolt · Accepted Answer

the measure of angle GHI

Question 4

Which is an example of deductive reasoning?

Revolt · Accepted Answer

All even numbers are divisible by 2. The number 18 is even, so it is divisible by 2.

Question 5

Which information do you know is true from the diagram? Check all that apply.

Revolt · Accepted Answer

∠ABD is a right angle.; m∠ABD = 90°

Introduction to Proof Answers

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