Introduction to Proof

Question 1

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 2

Complete the paragraph proof to prove the statement.

Revolt · Accepted Answer

✔ angle DEF; 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 e: angle DEF; 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 e: definition of congruent angles; 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 e: the measure of angle GHI

Question 3

✔ definition of congruent anglesdefinition of equal anglessymmetric propertytransitive property

Revolt · Accepted Answer

✔ definition of congruent angles

Question 4

angle DEF angle GHI X the measure of angle DEF ✔ the measure of angle GHI

Revolt · Accepted Answer

✔ the measure of angle GHI

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°

Question 6

Complete the paragraph proof to prove the statement.

Revolt · Accepted Answer

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 e: angle DEF; 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 e: definition of congruent angles; 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 e: the measure of angle GHI

Introduction to Proof Answers

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