Question

Consider the two triangles.

Answer 1

Answer:

AC/GI=BC/H

Step-by-step explanation:

we know that

The Side-Angle-Side Similarity Theorem states that: If two sides in one triangle are proportional to two sides in another triangle and the included angle in both are congruent, then the two triangles are similar

In this problem the included angle is

∠C≅∠I

therefore

side AC must be proportional to side GI  and side BC must be proportional to side HI

so

AC/GI=BC/HI

Verify

substitute the given values

15/9=20/12

15*12=20*9

180=180 -----> is true

therefore

The two sides are proportional

Answer 2

Answer:

D

Step-by-step explanation:

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