Determine whether the polygons to the right are similar. If so, write a similarity statement and give the scale factor. If not, explain.

Braxton Pugh

Braxton Pugh

Answered question

2021-08-01

Determine whether the polygons to the right are similar. If so, write a similarity statement and give the scale factor. If not, explain.
image
A.Tes, MNPVWX. The scale factor is ?.(Type an integer or a simplified fraction.)
B.No, because lengths of corresponding sides are not proportional.
C.Yes, MNPXVW. The scale facor is ?.(Type an integer or a simplified fraction.)
D.No, because corresponding angles are not congruent.
E.Yes, MNPWXV. The scale factor is ?.(Type an integer or a simplified fraction.)
F.Yes, MNPVXW. The scale factor is ?.(Type an integer or a simplified fraction.)

Answer & Explanation

Nicole Conner

Nicole Conner

Skilled2021-08-02Added 97 answers

In MNP and VWX
M=V (each 90)
N=W (Given in diagram)
by angle−angle criteria of similarity
MNPVWX
by corresponding part of similar triangles
MNVW=NPWX=PMXV
In diagram, MN=15, NP=39, PM=36
VW=5, WX=13, XV=12
MNVW=155=3
NPWX=3913=3
PMXV=3612=3
The scale factor VWX  MNP is 3.
the answer is Yes, MNPVWX. the scale factor is 3
the option (a) is correct.

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