Question

Are the triangles similar? If so, write a similarity statement for the triangles and explain how you know the triangles are similar.

Answer 1

right-handThe triangles are similar if, the ratios of their sides are equal

$\frac{AE}{AC}=\frac{AW}{AL}$

$\frac{8+8}{6+6}=\frac{8}{6}$

On the left-hand side

$\frac{16}{12}=\frac{4}{3}$

and in the right-hand side, we have

$\frac{8}{6}=\frac{4}{3}$

The left-hand side equals the right-hand side; therefore, the triangles are similar.