Triangle FUN, with vertices F(−2, 4), U(0, −5), and N(−3, −8) was dilated to form triangle PET with vertices P(−1.6, 3.2), E(0, −4), and T(−2.4, −6.4).Which scale factor was used? A.1.25 B.−1

C.2/3

D.0.8

Suppose these statements about two triangles are
true:∠G=∠S,∠R=∠,and ∠M=∠N. Which statement is correct? Select all that apply.

A. The sides are congruent.

B. The sides are proportional.

C.ΔGRM is similar to ΔNST

D.ΔMGR is similar to ΔNST

For first question answer is D.0.8

For second question answer is D.ΔMGR is similar to ΔNST.

Step-by-step explanation:

Here triangle FUN is dilated to get triangle PET

So, let's take F and P.

F(-2,4) and P(-1.6, 3.2)

Let's find the scale factor by dividing the coordinates.

Scale factor =

Using y coordinates of the same points

Scale factor =

So, scale factor is 0.8

Now, for the second problem

<G= <S

<R= <T

<M=<N

So, the corresponding angles are congruent when two triangles similar.

So, we can say ΔMGR is similar to ΔNST.