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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
.

Respuesta :

Taliyahchamber

Answer:

1. angle DEF

2. definition of congruent angles

3. the measure of angle GHI

Step-by-step explanation:

The statement are

  • Angle DEF
  • Definition of congruent angles
  • Angle GHI

What is Congruence?

Two geometric figures are said to be congruent, or to be in the relation of congruence, if it is possible to superpose one of them on the other so that they coincide throughout.

Given:

∠ABC ≅ ∠DEF and

∠GHI ≅ ∠DEF

1. Angle ABC and angle DEF are congruent

2. By the definition of congruent angles, the measure of angle ABC is equal to the measure of angle DEF.

3. By the substitution property, the measure of angle ABC is equal to the measure of angle GHI.

Learn more about Congruence here:

https://brainly.com/question/7888063

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