Question

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

Answer 1

By similarities, the question means that the pairs whose corresponding sides have the same ratio. That is given two figures say rectangles A and B, then:
length A/Length B =Width A/Width B
To know which pairs are similar, we plug in their values in the above formula:
Pair 1
169/1.3=130
49/0.7=70
130 ≠70
therefore the first pair is not similar

Pair 2
18.55/5.3=3.5
10.5/3.5=3
Pair 2 is not similar

Pair 3
120/24=5
60/12=5
this implies that pair 3 is similar
Pair 4
189/2.1=90
81/0.9=90

this implies that pair 4 is similar

Answer 2

Pair 1

169/1.3=130

49/0.7=70

130 ≠70

therefore the first pair is not similar

Pair 2

18.55/5.3=3.5

10.5/3.5=3

Pair 2 is not similar

Pair 3

120/24=5

60/12=5

this implies that pair 3 is similar

Pair 4

189/2.1=90

81/0.9=90

this implies that pair 4 is similar

Explanation: