Question

PLEASE HELP!! Determine whether the triangles are similar. If similar state how (AA~,SSS~, or SAS~), and write a similarity statement

Answer 1

Answer:

Yes they are similar because of SAS similarity

Step-by-step explanation:

the side lengths are proportional to each other, and the angle in the middle of the sides is the same size, therefore it has Side Angle Side (SAS) similarity.

Answer 2

ΔTSR ~ ΔFEG by the SAS Similarity Theorem

What is the SAS Similarity Theorem?

SAS Similarity Theorem states that two triangles with two pairs of proportionate sides and a pair of included angle are similar to each other.

In the image given, the two triangles have:

• Two pairs of proportional sides - TS/FG = TR/FE = 3.
• A pair of congruent included angles - ∠T ≅ ∠F.

This means they are similar by the SAS Similarity Theorem.

Therefore, ΔTSR ~ ΔFEG by the SAS Similarity Theorem.

Learn more about SAS Similarity Theorem on:

https://brainly.com/question/12960403