Question

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

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

a). = m∠ABC = m∠B' C' A'

b). = m∠ABC = m∠C' A' B'

c). = m∠BCA = m∠C' A' B'

d). = m∠BCA = m∠B' C' A'

Answer 1

d). = m∠BCA = m∠B'C'A'

Explanation:

d). = m∠BCA = m∠B'C'A'

Answer 2

Option D.
`m<BCA=m<B'C'A'`

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'`