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).

Answer 1

Answer:

the answer is A. (–2, 3)

i hope this helps

(also hope that i don't have to see more arguing like in the answer above me's comment section)

Answer 2

Answer:

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.

Step-by-step 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.