Q:

Which pairs of rectangles are similar polygons? Select each correct answer.

Accepted Solution

A:
Answer:Option C and Option D are similar polygons.Step-by-step explanation:Two polygons whose corresponding angles are congruent and the lengths of the corresponding sides are proportional.Similar polygons are two polygons with the same shape, but not necessarily the same size. Similar polygons have corresponding angles that are congruent, and corresponding sides that are proportional.In option C[tex]\frac{Length_{large}}{Length_{small}}=\frac{Breadth_{large}}{Breadth_{small}}[/tex][tex]\frac{189}{2.1} = \frac{81}{0.9} = 90[/tex]Its sides are proportional.In option D[tex]\frac{Length_{large}}{Length_{small}}=\frac{Breadth_{large}}{Breadth_{small}}[/tex][tex]\frac{120}{24} = \frac{60}{12} = 5[/tex]Its sides are proportional.