Question

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

Answer 1

Answer:

The dilation is twice the original form

Step-by-step 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

$\frac{10}{5} =\frac{ Scale\ factor * 5}{5}$

$\frac{10}{5} =Scale\ factor$

$Scale\ factor = \frac{10}{5}$

$Scale\ factor = 2$

Hence, the dilation is twice the original form