Question

Are the triangles similar? If they are write a similarity statement and give the scale factor.

Answer 1

SAS stands for "side, angle, side" and means that we have two triangles where:

-  the ratio between two sides is the same as the ratio between another two sides

-  the angles betweet this sides are equal.

We have m∠U = m∠ R.

The ratio:

$12:18=\dfrac{12}{18}=\dfrac{12:6}{18:6}=\dfrac{2}{3}\\\\10:15=\dfrac{10}{15}=\dfrac{10:5}{15:5}=\dfrac{2}{3}$

Answer: The triangles are similar.