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.
