Determine whether the two triangles are similar \triangle GHI\sim \triangle. If they are, complete the similarity statement.

Lennie Carroll

Lennie Carroll

Answered question

2021-08-02

Determine whether the two triangles are similar. If they are, complete the similarity statement.
Select all that apply.
GHI ? by

The triangles are not similar.
GHIKLJ
GHIJLK
By SAS similarity
By SSS similarity
By AA similarity

Answer & Explanation

Clara Reese

Clara Reese

Skilled2021-08-03Added 120 answers

Step 1
The figure of the triangles are given by

Step 2
From the figure we can write as
GHJL=4515=3...(1)
HILK=3612=3...(2)
GIJK=7525=3...(3)
From equations (1), (2) and (3) we get,
GHJL=HILK=GIJK...(3)
Relation (3) states that all the three corresponding sides of the triangles are proportional.
So, the triangles GHIJLK by SSS similarity.

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