Which pairs of polygons are similar?

Select **each** correct answer.

**A.**

** **

**B**.

**C**.

.

**D.**

AngelRay Nov 17, 2017

#1**+2 **

In order to determine which pairs of figures are indeed similar, you must compare the ratios of one side to another.

A) \(\frac{18}{27}=\frac{10}{15}\)

Simplifying both the fractions into simplest terms, \(\frac{2}{3}=\frac{2}{3}\), which indeed proves both figures to be similar.

B) Do the same thing with the rectangles.

\(\frac{7}{10}=\frac{14}{18}\)

Doing the exact process, \(\frac{7}{10}\neq\frac{7}{9}\), so these figures here are not congruent.

C) All equilateral triangles are similar.

D) Yet again, check the similarity by comparing the ratio.

\(\frac{18}{24}=\frac{24}{32}\)

Simplifying in simplest terms, \(\frac{3}{4}=\frac{3}{4}\), so this pair of figures are similar.

A, C, and D are all pairs of figures that are similar.

TheXSquaredFactor Nov 17, 2017