Question

A’B’C’ is a dilation image of ABC.which is the correct description of the dilation

Answer 1

The dilation is twice the original form

Explanation:

Given

Original Triangle = ABC

Dilated Image = A'B'C'

Required

Relationship between both

From the attached diagram;

`AC = 5`

`A'C' = 5 + AC`

This implies that

`A'C' = 5 + 5`

`A'C' = 10`

The relationship between a dilated image and its original form is;

`Dilation = Scale\ factor * Original\ form`

Using AC and A'C';

Such that A'C" is the Dilation image of AC

`A'C' = Scale\ factor * AC`

Replace AC an A'C' with their lengths

`10 = Scale\ factor * 5`

Divide both sides by 5

`(10)/(5) =( Scale\ factor * 5)/(5)`

`(10)/(5) =Scale\ factor`

`Scale\ factor = (10)/(5)`

`Scale\ factor = 2`

Hence, the dilation is twice the original form