6
4
2
0
A
2
4
C
6
8
What is the length of A"B"?
10 12
X
Triangle A'B'C' is created by dilating triangle with a scale factor centered at the origin

6 4 2 0 A 2 4 C 6 8 What is the length of AB 10 12 X Triangle ABC is created by dilating triangle with a scale factor centered at the origin class=

Respuesta :

The length of A"B" is 20 units

How to determine the length of A'B'?

From the figure, we have:

A = (1, 4)

B = (4, 8)

The distance AB is:

[tex]AB = \sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2[/tex]

So, we have:

[tex]AB = \sqrt{(1 -4)^2 + (4-8)^2[/tex]

Evaluate

[tex]AB = \sqrt{25[/tex]

This gives

AB = 5

The scale factor of dilation is 4.

So, we have:

A'B' = 5 * 4

Evaluate

A'B' = 20

Hence, the length of A"B" is 20 units

Read more about dilation at:

https://brainly.com/question/18977334

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