Question

What is the scale factor of dilation?
1/2
1/3
1/4
1/5

Answer 1

1/3

Explanation:

:)

Answer 2

The scale factor of dilation from
`P^(1) R^(1) Q^(1)` to
`PRQ` is 3.

Explanation:

Step 1:

First, we plot the coordinates of both triangles.

The coordinates of the triangle
`P^(1) R^(1) Q^(1)` are as follows;

`P^(1)` = (1, 1),
`R^(1)` = (1, 2), and
`Q^(1)` = (2, 1).

The coordinates of the triangle PRQ are;

P = (3, 3), R = (3, 6), and Q = (6, 3).

Step 2;

Next, we need to find the distances between at least two coordinates for both triangles.

The distances between vertical lines are found by calculating the difference in y values while for horizontal lines, the distances are found by calculating the difference between the x values.

The distance of
`P^(1) R^(1)`
`= 2 - 1 = 1` , the distance of
`P^(1) Q^(1)`
`= 2 - 1 = 1`.

The distance of PR
`= 6 - 3 = 3` , the distance of PQ
`= 6 - 3 = 3` .

Step 3;

To calculate the scale factor, we divide the measurement after scaling by the same measurement before scaling.

In this case, it is the length of the PR. So the scale factor for PR =
`(3)/(1)` = 3.

The scale factor for PQ =
`(3)/(1)` = 3.