Question

1. triangle a has coordinates (-6,2), (-7,4), and (-3,4). what are the new coordinates of triangle b if the triangle has been rotated 90 degrees counterclockwise and then reflected over the x = 0 line?

a. (-4,3), (-4,7), and (-2,6)
b. (4,-3), (4,-7), and (2,-6)
c. (-6,2), (-7,4), and (-3,4)
d. (6,-2), (7,-4), and (3,-4)

Explanation:

Step1: Apply 90 - degree counter - clockwise rotation

The rule for a 90 - degree counter - clockwise rotation of a point $(x,y)$ is $(-y,x)$.
For point $(-6,2)$: $(-2, - 6)$; for point $(-7,4)$: $(-4,-7)$; for point $(-3,4)$: $(-4,-3)$.

Step2: Reflect over the line $x = 0$

The rule for reflecting a point $(x,y)$ over the line $x = 0$ (the y - axis) is $(-x,y)$.
For point $(-2,-6)$: $(2,-6)$; for point $(-4,-7)$: $(4,-7)$; for point $(-4,-3)$: $(4,-3)$.

Answer:

B. $(4,-3),(4,-7),(2,-6)$