Question

PLEASE HELP!!!

Which pair of rectangles is similar?

A. 1 rectangle is 3 and 8 2 rectangle is 2 and 6

B. 1 rectangle is 3 and 6 2 rectangle is 2 and 9

C. 1 rectangle is 3 and 8 2 rectangle is 2 and 5

D. 1 rectangle is 3 and 9 2 rectangle is 2 and 6

Answer 1

Let us use proportion:
a:b = c:d
where:
ad = bc

A) 3:8 = 2:6 ⇒ 3*6 = 8*2 ⇒ 18 = 19 NOT

B) 3:6 = 2:9 ⇒ 3*9 = 6*2 ⇒ 27 = 12 NOT

C) 3:8 = 2:5 ⇒ 3*5 = 8*2 ⇒ 15 = 16 NOT

D) 3:9 = 2:6 ⇒ 3*6 = 9*2 ⇒ 18 = 18 YES!!!