Question

I'm going to die. This is killing me. HELP! MATTHHH :(

Answer 1

For two polygons to be similar, the angles must be congruent in both polygons and sides must be proportional.

Since these two polygons are parallelograms, the diagonal angles are congruent and the consecutive angles are supplementary.

So looking at PQRS, angle RSP is diagonally across from angle PQR so it is 120 degrees.

Angles QPS and QRS are consecutive angles and therefore are 180-120 = 60 degrees.

Applying this technique to parallelogram TUVW we see that angle UVW is 120 degrees and angles TUV and VWT are 60 degrees each.

So the angles are congruent in both polygons, and the first test is met.

Answer 2

Now we have to check to see if the sides are proportional. So we have \[\frac{ QR }{ TU }=\frac{ RS }{ UV }\]\[\frac{ 13 }{ 5.2 }=\frac{ 8 }{ 2.4}\]\[2.5\neq3.33\]So sides are not proportional.

So the polygons are not similar.