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(2,-5), C(-4,-9)

Step2: Reflection formula for \( y=-x-3 \)

For line \( x+y+3=0 \), reflection of \( (x,y) \) is \( (-y-3, -x-3) \)

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

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

Step4: Reflect point B(2,-5)

B is on line, so B'(2,-5)

Step5: Reflect point C(-4,-9)

\( x'=-(-9)-3=6 \), \( y'=-(-4)-3=1 \) → C'(6,1)

Answer:

The reflected figure's points are (-1, 1), (2, -5), (6, 1)