Question

Rectangle ABCD is dilated by a scale factor of One-half with a center of dilation at the origin. What are the coordinates of the image of point B prime? On a coordinate plane, rectangle A B C D has points (negative 8, 6), (negative 4, 6), (negative 4, 4), (negative 8, 4). (–2, 3) (3, –2) (–8, 12) (12, –8)

Answer 1

Its (-2, 3) or Answer A

Explanation:

Its the correct answer for edg

Answer 2

The new coordinate of image of point B (-4, 6) will be B'(-2, 3) when a rectangle ABCD is dilated by a scale factor of One-half with a center of dilation at the origin.

Explanation:

Considering the vertices of the rectangle ABCD

A(-8, 6)

B(-4, 6)

C(-4, 4)

D(-8, 4)

When a rectangle ABCD is dilated by a scale factor of One-half with a center of dilation at the origin, then the coordinate of image of point B can be calculated by multiplying the x and y coordinates of point B with 1/2.

i.e.

B(-4, 6) → B'(-4/2, 6/2) = B'(-2, 3)

Therefore, the new coordinate of image of point B (-4, 6) will be B'(-2, 3) when a rectangle ABCD is dilated by a scale factor of One-half with a center of dilation at the origin.