Question

The triangles below are similar because of the:

A. AA similarity postulate

B. SSS similarity postulate

C. SAS similarity postulate

D. The triangles are not similar

Answer 1

answer is C. SAS similarity theorem

<C = <C
BC/AC = CD/CE
hope it helps

Answer 2

ΔACB and ΔECD are similar triangles by the Side Angle Side (SAS) theorem. Then the correct option is C.

What is the triangle?

Triangle is a polygon that has three sides and three angles. The sum of the angle of the triangle is 180 degrees.

The two triangles are shown.

In ΔACB and ΔECD

The ratio of their corresponding sides will be

$\begin{aligned} \dfrac{AC}{CE} &= \dfrac{BC}{CD}\\\\\dfrac{12}{20} &= \dfrac{6}{10}\\\\\dfrac{3}{5} &= \dfrac{3}{5} \end{aligned}$

And

∠DCE = ∠ACB (opposite angle)

The Side Angle Side theorem is satisfied.

Thus, we can say that these two triangles are similar to each other.

More about the triangle link is given below.

https://brainly.com/question/25813512