Question

question 7 (20 points)
determine whether each pair of triangles is similar. explain your reasoning

these triangles __ similar. i can use the similarity theorem. i know that the three sides are __
i can set up equivalent fractions like $\frac{15}{20}=\frac{27}{36}=\frac{18}{24}$
all of those fractions can be simplified to ____

word bank:
wicked long side - side - side 1/2 3/4 proportional are not side - angle - side not proportional 6/7 angle - angle are

Explanation:

Step1: Check similarity

To check if two triangles are similar, we can use the Side - Side - Side (SSS) similarity theorem.

Step2: Simplify fractions

Simplify \(\frac{15}{20}=\frac{15\div5}{20\div5}=\frac{3}{4}\), \(\frac{27}{36}=\frac{27\div9}{36\div9}=\frac{3}{4}\), \(\frac{18}{24}=\frac{18\div6}{24\div6}=\frac{3}{4}\).
Since \(\frac{15}{20}=\frac{27}{36}=\frac{18}{24}=\frac{3}{4}\), the three sides are proportional.
So, these triangles are similar by the Side - Side - Side Similarity Theorem.

Answer:

are, Side - Side - Side, proportional, 3/4