Question

are these shapes similar?
32 in
32 in
32 in
32 in
29 in
29 in
29 in
29 in
yes
no

Explanation:

Step1: Check the properties of similar shapes

Similar shapes have corresponding angles equal and corresponding sides in proportion. Both shapes are rectangles (all angles are \(90^{\circ}\)).

Step2: Calculate the ratio of corresponding sides

For the first rectangle (side length \(a = 32\) in) and the second rectangle (side length \(b=29\) in). The ratio of their sides is \(\frac{32}{29}
eq1\) (but for similarity of rectangles (which are quadrilaterals), since all angles are equal (each \(90^{\circ}\)) and for two rectangles to be similar, the ratio of their length to width should be the same. Here, for the first “rectangle” (which is a square as all sides \(32\) in) and the second “rectangle” (which is a square as all sides \(29\) in). The ratio of their sides \(k=\frac{32}{29}\). All squares are similar as the ratio of their corresponding sides is constant and all angles are equal (\(90^{\circ}\)).

Answer:

yes