Question

Point A has coordinates A(2, 1). What is the image after a dilation centered at the origin with a scale factor of 2?

Answer 1

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Write the given coordinates

`A(2,1)`

STEP 2: Explain the concept of dilation

Step-by-step explanation:

Since the dilation is centered around the origin, we are required to multiply the coordinates of the original points by the scale factor. Therefore we have;

`A(2,1)=A^(\prime)(2\cdot2,2\cdot1)=A^(\prime)(4,2)`

Hence, the coordinate after dilation will be:

`A^(\prime)(4,2)`