Question

Dilate rectangle

Answer 1

Answer:

The coordinates of the points of the rectangle A'B'C'D' are;

The coordinates of the point A' = (-2, -1)

The coordinates of the point B' = (-2, 1)

The coordinates of the point C' = (2, 1)

The coordinates of the point D' = (2, -1)

Step-by-step explanation:

Placing the point P as the origin of the chart, we have;

The coordinates of the points are given as follows;

The coordinates of the point B = (-4, 2)

The coordinates of the point C = (4, 2)

The coordinates of the point A = (-4, -2)

The coordinates of the point D = (4, -2)

Given that the sides are parallel to the axis, we have;

The length of the segment AB = 2  - (-2) = 4

The length of the segment BC = 4  - (-4) = 8

The length of the segment CD = 2  - (-2) = 4

The length of the segment AD = 4  - (-4) = 8

Therefore, a dilation by 1/2 will give;

The length of the segment A'B' = AB/2 = 4/2 = 2

The length of the segment B'C' = BC/2 = 8/2 = 4

The length of the segment C'D' = CD/2 = 4/2 = 2

The length of the segment A'D' = AD/2 = 8/2 = 4

The coordinates of the point A' = The coordinates of the point A/2 = (-4, -2)/2 = (-2, -1)

The coordinates of the point A' = (-2, -1)

The coordinates of the point B' = The coordinates of the point B/2 = (-4, 2)/2 = (-2, 1)

The coordinates of the point B' = (-2, 1)

The coordinates of the point C' = The coordinates of the point C/2 = (4, 2)/2 = (2, 1)

The coordinates of the point C' = (2, 1)

The coordinates of the point D' = The coordinates of the point D/2 = (4, -2)/2 = (2, -1)

The coordinates of the point D' = (2, -1).