Question

Triangle ABC has been translated to create triangle A′B′C′. Which of the following statements is true?

Answer 1

Answer:

$m\angle A'=63^o$

Step-by-step explanation:

The complete question in the attached figure

we know that

A translation is a rigid transformation that not produces change in the size or in the shape of a figure

so

The pre-image of the figure is congruent with the image after a translation

Remember that

If two figures are congruent, then its corresponding sides and its corresponding angles are congruent

so

$m\angle A=m\angle A'$

$m\angle B=m\angle B'$

$m\angle C=m\angle C'$

and

$AB=A'B'$

$BC=B'C'$

$AC=A'C'$

therefore

if $m\angle A=63^o$

then

$m\angle A'=63^o$