Question

Four rectangles are shown in the diagram. For which dilation is the ratio of the side lengths 2:3?

A) D to C
B) D to B
C) C to B
D) B to A

Answer 1

Its D to C

Explanation:

Answer 2

the answer is the option C

C to B

Explanation:

Let

x-----> the height of the rectangles

we know that

`hA=8\ units`

`hB=6\ units`

`hC=4\ units`

`hD=2\ units`

Find the ratios

`rDC=(hD)/(hC)=(2)/(4)=(1)/(2)`

`rDB=(hD)/(hB)=(2)/(6)=(1)/(3)`

`rDA=(hD)/(hA)=(2)/(8)=(1)/(4)`

`rCB=(hC)/(hB)=(4)/(6)=(2)/(3)`

`rCA=(hC)/(hA)=(4)/(8)=(1)/(2)`

`rBA=(hB)/(hA)=(6)/(8)=(3)/(4)`