Question

draw 2 polygons that are similar but could be mistaken for not being similar. explain why they are similar.

Explanation:

Similar polygons have corresponding angles equal and corresponding sides in proportion. For example, two rectangles with different side - length ratios could look different at first glance. But if we check the angles (all \(90^{\circ}\) in rectangles) and the ratios of their sides (if \(\frac{l_1}{l_2}=\frac{w_1}{w_2}\)), they are similar.

Answer:

Draw a rectangle with length \(4\) and width \(2\), and another rectangle with length \(6\) and width \(3\). They are similar because all their corresponding angles are equal (\(90^{\circ}\)) and the ratio of their corresponding sides is \(\frac{4}{6}=\frac{2}{3}\) (the ratio of length to length and width to width is the same).