Question

A dilation with a scale factor of 2 is applied to

Answer 1

The lengths of the three line segments after dilation is $P'Q' = 4 \ cm$, $A'B'=3 \ cm$ and $M'N'=6 \ cm$

Explanation:

Given that the length of three line segments are PQ = 2 cm, AB = 1.5 cm and MN = 3 cm

Also, given that the dilation with a scale factor of 2 is applied to the three line segments.

We need to determine the length of line segments P'Q', A'B' and M'N'

Dilation means the transformation of the same shape with different size.

Since, it is given that the dilation with a scale factor of 2, we shall multiply each of the line segments with 2.

Thus, we have,

$P'Q' = 2 \times 2 = 4 \ cm$

$A'B'=1.5 \times 2 = 3 \ cm$

$M'N'=3 \times 2= 6 \ cm$

Thus, the lengths of the three line segments after dilation is $P'Q' = 4 \ cm$, $A'B'=3 \ cm$ and $M'N'=6 \ cm$