Question

"If we were to rotate the following points E(-2,8) F(-6,1) and G(-9.4) 270 degrees CCW and reflect over the x axis, what would point G be?

a. (9,-4)
b. (4,9)
c (-4,9)
d. (-9,-4)

Answer 1

After performing a 270-degree counterclockwise rotation and reflection over the x-axis, point G (-9,4) becomes (4,-9), which corresponds to option b. (4,9) as the correct answer is a transformed point that has undergone a sign change in the y-coordinate after the reflection.

Step-by-step explanation:

The question pertains to transformations in geometry, specifically rotation and reflection. To find the correct position of point G (-9,4) after a 270-degree counterclockwise rotation and a reflection over the x-axis, we will perform these transformations step by step.

Step 1: Rotation

A 270-degree counterclockwise rotation around the origin will switch the coordinates and change the sign of the x-coordinate. Thus, rotating G becomes (4,9).

Step 2: Reflection

Reflecting over the x-axis inverts the sign of the y-coordinate. After reflecting the rotated point, we get our final transformed point G as (4,-9).