Polygon ABCD, shown in the figure, is dilated by a scale factor of 8 with the origin as the center of dilation, resulting in the

Question

diamong [38]

3 years ago

13

Polygon ABCD, shown in the figure, is dilated by a scale factor of 8 with the origin as the center of dilation, resulting in the

image A′B′C′D′.
The slope of is .

Mathematics

1 answer:

maksim [4K] · Answer 1 · 2022-04-27T06:45:29+03:00

The slope of CD is 2

Step-by-step explanation:

The transformation done is dilation and the Dilation preserves the parallel lines that means that the image line C'D' of the line CD are parallel to each other and their slopes are same. so we have to find the slope of CD.

If the line is passing through the points (x1, y1) and (x2, y2), the slope is

$\frac{y2-y1}{x2-x1}$

From the diagram the coordinates of points C and D are :

C(5, 4), D(4, 2).

Thus, the slope of CD is

$\frac{2-4}{4-5}$ = 2

Hence, The slope of CD is 2, it does not change after dilation.