Question

Select answers from the drop down menus to correctly complete the statements.

A scale factor of A) 0.25 or B) 4 was applied to the first triangle to get the resulting image. This scale factor is A) an enlargement or B) a reduction

Answer 1

Answer:0.25 a enlargement

You have to divide the smaller triangle by the larger one *cough* I don’t sound like a mathematician but that’s how I got the answer

Answer 2

Answer: The correct options are(B). 4 and (A). an enlargement.

Step-by-step explanation: Given that a scale factor of 0.25 or 4 was applied to the first triangle to get the resulting image.

We are to select the scale factor and the correct type of dilation (enlargement or reduction) in both the cases.

We know that if a polygon is dilated by a scale factor to form a new image, then

there will be an enlargement if scale factor is greater than 1,

there will be a reduction if the scale factor is less than 1.

In the given figure,

the length of a side of the dilated figure = 1.5 units

and

the length of the corresponding side of the original figure = 6 units.

So, the scale factor of dilation is given by

`S=\frac{\textup{length of a side of the dilated figure}}{\textup{length of the corresponding side of the original figure}}\\\\\\\Rightarrow S=(6)/(1.5)=4>1.`

So, there will be an enlargement.

Thus, the correct options are (B). 4 and (A). an enlargement.