Rectangle ABCD is dilated by a scale factor of 1/2 with a center of dilation at the origin. What are the coordinates of the image of point B'? A. (–2, 3) B. (3, –2) C. (–8,…

Question

asked Nov 9, 2017 165k views

2 Answers

Youssri Abo Elseod · Answer 1 · 2017-11-13T18:01:54+0000

Answer:

The correct option is A.

Explanation:

If a figure dilated by a scale factor of k with a center of dilation at the origin, then

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

It is given that rectangle ABCD is dilated by a scale factor of 1/2 with a center of dilation at the origin, so

$(x,y)\rightarrow ((1)/(2)x,(1)/(2)y)$

The coordinates of B are (-4,6). So, the coordinates of B' are

$B(-4,6)\rightarrow B'((1)/(2)(-4),(1)/(2)(6))$

$B(-4,6)\rightarrow B'(-2,3)$

The coordinates of B' are (-2,3), therefore option A is correct.