Segment AB is dilated from the origin to create segment A prime B prime at A' (0, 4) and B' (4, 6). What scale factor was segment AB dilated by? Answer choices:
A. 1/2
B. 2
C. 3
D.4

Given:

Endpoint of segment AB are A(0,2), B(2,3).

Segment AB is dilated from the origin to create segment A prime B prime at A' (0, 4) and B' (4, 6).

To find:

The scale factor of dilation.

Solution:

If a figure is dilated about the origin with factor k, then

Using this rule, we get

So, the image of A is A'(0,2k).

It is given that image of A is A'(0,4). So,

On comparing the y-coordinates from both sides, we get

Therefore, the scale factor is 2 and the correct option is B.

x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x

step-by-step explanation:

last month maria hiked the 5-mile mountain trail a number of times and she hiked the 10-mile canal trail several times. let x represent the number of times she hiked the 5-mile trail, and let y represent the number of times she hiked the 10-mile trail. if she hiked a total of 90 miles, which equation can be used to find the number of times maria hiked each trail? x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x