Question

introduction to proof
writing paragraph proofs
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 dropdown 1, 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.
dropdown 1 options: angle def, angle ghi, the measure of angle def, the measure of angle ghi

Explanation:

Explicación:

Paso 1: Definición de ángulos congruentes

Si $\angle ABC\cong\angle DEF$, entonces $m\angle ABC = m\angle DEF$. Y si $\angle GHI\cong\angle DEF$, entonces $m\angle GHI = m\angle DEF$.

Paso 2: Propiedad de sustitución

Como $m\angle ABC = m\angle DEF$ y $m\angle GHI = m\angle DEF$, entonces por la propiedad de sustitución $m\angle ABC = m\angle GHI$.

Respuesta:

We are given that angle ABC and angle DEF are congruent. By the definición de ángulos congruentes, 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.

Answer:

Explicación:

Paso 1: Definición de ángulos congruentes

Si $\angle ABC\cong\angle DEF$, entonces $m\angle ABC = m\angle DEF$. Y si $\angle GHI\cong\angle DEF$, entonces $m\angle GHI = m\angle DEF$.

Paso 2: Propiedad de sustitución

Como $m\angle ABC = m\angle DEF$ y $m\angle GHI = m\angle DEF$, entonces por la propiedad de sustitución $m\angle ABC = m\angle GHI$.

Respuesta:

We are given that angle ABC and angle DEF are congruent. By the definición de ángulos congruentes, 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.