Question

reflect the figure over the line y = -x - 3. plot all of the points of the reflected figure. you may click a plotted point to delete it.

Explanation:

Step1: Identify original vertices

Assume original triangle vertices: A(-4,-2), B(1,-5), C(-4,-8)

Step2: Reflection formula over y=-x-3

Using reflection formula: (x', y') = (-y - 3, -x - 3)

Step3: Reflect vertex A(-4,-2)

x' = -(-2)-3 = -1, y' = -(-4)-3 = 1 → A'(-1,1)

Step4: Reflect vertex B(1,-5)

x' = -(-5)-3 = 2, y' = -(1)-3 = -4 → B'(2,-4)

Step5: Reflect vertex C(-4,-8)

x' = -(-8)-3 = 5, y' = -(-4)-3 = 1 → C'(5,1)

Answer:

Reflected points: (-1,1), (2,-4), (5,1)