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# Which pairs of polygons are similar?

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Which pairs of polygons are similar?

A.

B.

C

D.

Nov 17, 2017

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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.

Nov 17, 2017