Question

a(3,-2) b(4, -5) c(6,-1) label your reflection △abc

1. rotate △bhs counterclockwise 90° about the origin. b(-2,1) h(-4,5) s(-6,2) label your rotation △bhs

Explanation:

Step1: Find reflection of points over x - axis

The rule for reflecting a point $(x,y)$ over the $x$-axis is $(x,-y)$.
For point A(3,-2), its reflection A' is $(3, -(-2))=(3,2)$.
For point B(4,-5), its reflection B' is $(4, -(-5))=(4,5)$.
For point C(6,-1), its reflection C' is $(6, -(-1))=(6,1)$.

Step2: Find rotation of points counter - clockwise 90° about the origin

The rule for rotating a point $(x,y)$ counter - clockwise 90° about the origin is $(-y,x)$.
For point B(-2,1), its rotation B' is $(-1,-2)$.
For point H(-4,5), its rotation H' is $(-5,-4)$.
For point S(-6,2), its rotation S' is $(-2,-6)$.

Answer:

Reflection: A'(3,2), B'(4,5), C'(6,1)
Rotation: B'(-1,-2), H'(-5,-4), S'(-2,-6)