Question

Rectangle HIJK has vertices H(-3, 2), I(4, 2), J(4, -3), and K(-3, -3). What are the coordinates of the image of I after a dilation by a factor of 1.5 centered at the origin?

A. I’(3, 6)
B. I’(6, 3)
C. I’(6, 2)
D. I’(8, 4)

Answer 1

B. I’(6, 3)

Explanation:

Multiply I(4, 2) by 1½:

2 × 1½ = 3

4 × 1½ = 6

So, your new coordinate is I'(6, 3).

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Answer 2

Answer: B. I’(6, 3)

Explanation:

The coordinates (x,y) of a shape after dilation by a factor of k centered at the origin is given by :-

`(x,y)\rightarrow(kx,ky)`

Given : Rectangle HIJK has vertices H(-3, 2), I(4, 2), J(4, -3), and K(-3, -3).

The coordinates of the image of I after a dilation by a factor of 1.5 centered at the origin will be :_

`I(4,2)\rightarrow I' (1.5*4, 1.5*2)=I'(6,3)`

Hence, the coordinates of the image of I after a dilation by a factor of 1.5 centered at the origin =I’(6, 3)