Question

line segment DF on a coordinate plane with D at 0 comma 4 and F at 3 comma 2 segment DF is dilated from the origin to create segment D prime F prime at D′ (0, 6) and F′ (4.5, 3). What scale factor was segment DF dilated by? 0.75 1.3 1.5 2.5

Answer 1

Actually its D. 2.5

Step-by-step explanation:

Given : Line segment DF is dilated from the origin to create line segment D’F’ at D' (0, 10) and F' (7.5, 5).

The original coordinates for line segment DF are D(0, 4) and F(3, 2).

We know that the scale factor(k) is the ratio of the coordinates of the image points and the original points.

Then,

Hence, the scale factor was line segment DF dilated by = 2.5

Answer 2

Answer: 1.5

Explanation:

We know that when a figure is dilated from the origin , then the scale factor if dilation is the ratio of the coordinate of image to the pre-image.

Given : line segment DF on a coordinate plane with D at (0,4) and F at (3,2) segment DF is dilated from the origin to create segment D prime F prime at D′ (0, 6) and F′ (4.5, 3).

Then, the scale factor will be :-

`k=\frac{\text{x-coordinate of D'}}{\text{\text{x-coordinate of D}}}\\\\=(6)/(4)=1.5`

Therefore, the required scale factor = k= 1.5