Question

segment CD has endpoints at C(0, 3) and D(0, 8). If the segment is dilated by a factor of 2 about point C, what is the length of the image of segment CD?

Answer 1

The length of the image of the segment CD is 10 units if the segment CD has endpoints at C(0, 3) and D(0, 8).

What is a distance formula?

It is defined as the formula for finding the distance between two points. It has given the shortest path distance between two points.

The distance formula can be given as:

$\rm d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

We have two points C(0, 3) and D(0, 8)

The distance between these two points:

d = √(8-3)²

d = 5 units

The length of the image of segments CD = dilation factor×length of CD

= 2×5

= 10 units

Thus, the length of the image of the segment CD is 10 units if the segment CD has endpoints at C(0, 3) and D(0, 8).

Learn more about the distance formula here:

brainly.com/question/18296211

#SPJ1