Question

The first hexagon which is 5 is dilated to form the second hexagon which is 6.25

Answer 1

ANSWER
Scale factor is 1.25

The dilation is an enlargement.

EXPLANATION

Let the scale factor of the dilation be k, then

$5 \times k = 6.25$


We divide both sides by 5 to get,


$k = \frac{6.25}{5}$


This implies that,

$k = 1.25$

Since the scale factor is more than one, the dilation is an enlargement.

Answer 2

Answer:

Part 1) The scale factor is $1.25$

Part 2) Is an enlargement

Step-by-step explanation:

Part 1)

we know that

If two figures are similar, then the ratio of its corresponding sides is equal and is called the scale factor

Let

z-----> the scale factor

x------> the length side of the second hexagon

y-----> the length side of the first hexagon

so

$z=\frac{x}{y}$

we have

$x=6.25\ units$

$y=5\ units$

substitute

$z=\frac{6.25}{5}=1.25$

Part 2)

we know that

If  z > 1 -----> the dilation represent an enlargement

If  z < 1 -----> the dilation represent a reduction

In this problem

$z=1.25$

therefore

Is an enlargement