Question

The Question is : Maria plotted points to create a figure A as shown on the coordinate grid. Which coordinate grid below shows figure A’ after a scale factor of 1/3 is applied to figure A’( basically it’s going to be the same thing inside it, I need help finding the position it’s going to be on)

Answer 1

Explanation:

When we scale the figure by a factor of 1/3, the change in the coordinates of the vertex of figure A will be:

A -----> A'

(x, y) -----> ((1/3)x, (1/3)y)

So, the coordinates for figure A' are:

( - 6, 6) ----> ((1/3)(-6), (1/3)(6)) = (-2, 2)

(0, 4) ----> ((1/3)(0), (1/3)(4)) = (0, 4/3)

( 6, 6) ----> ((1/3)(6), (1/3)(6)) = (2, 2)

( 6, 0) ----> ((1/3)(6), (1/3)(0)) = (2, 0)

( -6, 0) ----> ((1/3)(-6), (1/3)(0)) = (-2, 0)

Therefore, figure A' is:

Where the blue figure is A and the red figure is A'.