Question

Please hurry ASAP

Triangle ABC is transformed to triangle A′ B′ C′, as shown below:

A coordinate grid is shown from negative 4 to 0 to 4 on both x- and y-axes. A triangle ABC has A at ordered pair negative 1, 3, B at ordered pair 0, 1, C at ordered pair negative 3, 0. A triangle A prime B prime C prime has A prime at ordered pair negative 1, negative 3, B prime at ordered pair 0, negative 1, C prime at ordered pair negative 3, 0.

Which equation shows the correct relationship between the measures of the angles of the two triangles?

A The measure of angle CAB = The measure of angle C prime B prime A prime
B The measure of angle BCA = The measure of angle A prime B prime C
C The measure of angle CAB = The measure of angle C prime A prime B prime
D The measure of angle BCA = The measure of angle C prime A prime B prime

Answer 1

Option C The measure of angle CAB = The measure of angle C prime A prime B prime

Explanation:

we know that

The transformation of the figure is a reflection, so after the transformation the shape still has the same size, area, angles and line lengths.

the triangles ABC and A'B'C' are congruent

therefore

the corresponding sides and corresponding angles are equal

so

The relationship between the measures of the angles of the two triangles is

`m<ABC=m<A'B'C'`

`m<BCA=m<B'C'A'`

`m<BAC=m<B'A'C'` -----> the solution