Complete the paragraph proof to prove the statement.

Given: ∠ABC ≅ ∠DEF and ∠GHI ≅ ∠DEF

Prove: m∠ABC = m∠GHI

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.

Question

Mathematics

Miguel Mayo

6 January, 05:04

Complete the paragraph proof to prove the statement.

Given: ∠ABC ≅ ∠DEF and ∠GHI ≅ ∠DEF

Prove: m∠ABC = m∠GHI

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.

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Answers (2)

Know the Answer?

Morgan Holloway · Answer 1

1. Angle DEF

2. Definition of congruent angles

3. The measure of GHI

Twiggy · Answer 2

We are given that angle ABC and angle DEF are congruent, and that angle GHI and angle DEF are congruent. By the reflexive property of congruence, 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 the measure of angle GHI.