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

Morse

22 February, 06:59

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)

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Leticia Garrett · Answer 1

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.

Zander Wilcox · Answer 2

1. Angle DEF

2. Definition of congruent angles

3. The measure of GHI