Question

Point H is located at (-7,5). Where is H' after a 270 degrees clockwise rotation?

Point B is located at (4,-16). Where is B' after a dilation with a scale factor of 3/4?

Answer 1

To solve the first problem we can remember that rotating a figure/point 270 degrees clockwise is the same as rotating it 90 degrees counterclockwise. The rule for rotating 90 degrees counterclockwise (or 270 degrees clockwise) is (x,y) —> (-y, x).

In this case, we have to rotate Point H, which is located at (-7,5). Using the rule here’s how to solve:
(-7,5)—>(-5,-7)
So the answer would be (-5,-7).

Problem 2: Point B-
To dilate a figure/point, we must multiply it’s coordinates by the scale factor. In this case, the rule can be seen as: (x,y)—>(3/4x, 3/4y).

Now, when applying this to the problem, here’s how to solve:
(4,-16)—>(3,-12) (multiply the x and y by 3/4)

I hope these answers helped.

Answer 2

Point H is at (-7, -5) after a 270 degree rotation.