Question

Quadrilateral EFGH was dilated with the origin as the center of dilation to create

quadrilateral E' F'G'H'. The quadrilateral was dilated using a scale factor of 2.5.
The lengths of the sides of quadrilateral EFGH are given.
What is the length of side F'G'?

Answer 1

The length of side F'G' is 17.5 units

Explanation:

Given

Quadrilateral, EFGH.

EF = 2 units

EH = 6 units

GH = 5.5 units

FG = 7 units

Scale Factor = 2.5

Required

Length of F'G'

To dilate a shape means to increase or reduce the size of that shape using a given scale factor.

The length of the new shape is calculated by multiplying the scale factor by the length of the old shape.

The question requires that we calculate F'G'.

Here, F'G' is formed as a result of the dilation of side FG.

From the formula stated above.

F'G' = Scale Factor * FG

From the given diagram, FG = 7 units

And scale factor = 2.5

So, F'G' = 2.5 * 7 units

F'G' = 17.5 units

Hence, the length of side F'G' is 17.5 units