Question

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

select answers from the drop-down menus to correctly complete the statement

The scale factor is
(1) 0.80
(2) 1.25
The represents
(1) an enlargement
(2) a reduction

Answer 1

Part 1) The scale factor is
`1.25`

Part 2) Is an enlargement

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=(x)/(y)`

we have

`x=6.25\ units`

`y=5\ units`

substitute

`z=(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

Answer 2

ANSWER
Scale factor is 1.25

The dilation is an enlargement.

EXPLANATION

Let the scale factor of the dilation be k, then


`5 * k = 6.25`


We divide both sides by 5 to get,



`k = (6.25)/(5)`


This implies that,


`k = 1.25`

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