Question

Are the polygons similar? If they are, write a similarity statement and give the scale factor.

Answer 1

Answer:

The polygons are similar

ΔRST ≈ ΔUVW; $\frac{5}{6}$

Step-by-step explanation:

Data:

The triangles have similar angles at U and R.

Therefore, the triangles must have the similar first letter naming.

Starting the triangle at U, the triangle will be named: UVW.

The second triangle will be named starting at R: RST

The ratio of the areas is the ratio of the corresponding sides. Therefore, taking the ratio of the bases:

RST : UVW will be : $\frac{15}{18} = \frac{5}{6}$

Answer 2

Yes. The two triangles are similar in that. 

ΔRST ≡ ΔUVW. 

The scale factor of the similarity is,
 
Scale factor = RS/UV
                    = 10/12
                    =5/6