Question

Which pairs of rectangles are similar polygons? Select Similar or Not Similar for each pair of rectangles.

Answer 1

150/100 = 1.5
108/72 = 1.5
132/80= 1.65

I would say A and B are similar, not C

Answer 2

Answer: Polygons A and B are Similar.

Polygons A and C are Not Similar.

Polygons B and C are Not Similar.

Step-by-step explanation: We are given three rectangular figures A, B and C.

We need to determine which polygons are similar and which are not.

Note: The sides of similar figures are in proportion.

Let us check first A and B figures.

150/108 = 50/36

100/72 = 50/ 36.

We can see 150/108 = 100/72 = 50/ 36.

Sides are in proportion of Polygons A and B.

So, the Polygons A and B are Similar.

Let us check first A and C figures.

150/132 = 25/22

100/80 = 5/4.

We can see 150/132 ≠ 100/80.

Sides are not in proportion of Polygons A and C.

So, the Polygons A and C are Not Similar.

Let us check first B and C figures.

108/132 = 9/11.

72/80 = 9/10.

We can see 108/132 ≠ 72/80.

Sides are not in proportion of Polygons B and C.

So, the Polygons B and C are Not Similar.