Question

A(-1,2), what are the coordinates of A' if k = 2, and the center is (0,0)?

A) A'(1,4)
B) A'(-2,4)
C) A'(2,4)
D) A'(-3,4)

Answer 1

To find the coordinates of A' after a dilation with a scale factor of 2, each coordinate of A is multiplied by 2, giving the result A' as (-2,4).

Step-by-step explanation:

This asks for the coordinates of point A' after a dilation from the center (0,0) with a scale factor of 2. The original coordinates of A are (-1,2). To find the coordinates of A', each original coordinate is multiplied by the scale factor, k = 2. For the x-coordinate: -1 × 2 = -2, For the y-coordinate: 2 × 2 = 4. Therefore, the coordinates of A' are (-2,4), which corresponds to option B).