Question

11. Determine whether the triangles are similar. If so, what is the similarity statement and the

postulate or theorem used?

(please answer ASAP if you have the all of the questions for the semester exam I'll take them too please)

A.>TRS~>TPQ;SSS~
B.>TRS~>TPQ;SAS~
C.>TRS~>PQR;SAS~
D.The triangles are not similar ​

Answer 1

Option B

Explanation:

we know that

SAS Similarity Theorem: 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

∠STR is congruent with ∠QTP

Verify if the corresponding sides are proportional

`(42)/(42+6)=(28)/(28+4)`

`(42)/(48)=(28)/(32)`

`42*32=48*28`

`1,344=1,344` ----> is true

therefore

The triangles TRS and TPQ are similar by SAS