Question

A 24 inch x 30 inch poster is made from a picture that is 4 inch x 5 inch. This is an example of

A: Expansion
B: Contraction
C: Translation
D: Diagram

Answer 1

It's an expansion because they are expanding the original photograph.

Answer 2

Answer: A: Expansion

Explanation:

Given: A 24 inch x 30 inch poster is made from a picture that is 4 inch x 5 inch.

Thus, the dimension of the image = 24 inch x 30 inch

The dimension of pre-image = 4 inch x 5 inch.

We know that the scale factor of dilation is given by :-

`k=\frac{\text{side length of image}}{\text{side length of corresponding side in pre-image}}\\\\\Rightarrow\ k=(24)/(4)=(30)/(5)=6`

Since, k>1, therefore the given dilation is an example of expansion because the dimension of the image is greater than the dimension of pre-image.