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

the first hexagon which is 5 is dilated to form the second hexagon which is 625 select answers from the dropdown menus to correctly complete the statementThe sc class=

Respuesta :

ANSWER
Scale factor is 1.25

The dilation is an enlargement.

EXPLANATION

Let the scale factor of the dilation be k, then

[tex]5 \times k = 6.25[/tex]


We divide both sides by 5 to get,


[tex]k = \frac{6.25}{5} [/tex]


This implies that,

[tex]k = 1.25[/tex]

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

Answer:

Part 1) The scale factor is [tex]1.25[/tex]

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

[tex]z=\frac{x}{y}[/tex]

we have

[tex]x=6.25\ units[/tex]

[tex]y=5\ units[/tex]

substitute

[tex]z=\frac{6.25}{5}=1.25[/tex]

Part 2)

we know that

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

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

In this problem

[tex]z=1.25[/tex]

therefore

Is an enlargement

Q&A Education