Question

the polygon shown has a line of reflection that will cause the figure to carry onto itself. complete the equation for the vertical line of reflection

Explanation:

Step1: Identify reflection property

Vertical line x=a: (x,y)→(2a−x,y)

Step2: Use midpoint of symmetric points

Take (-4,5.8) & (-2,5.8): a=(−4+(−2))/2=−3

Step3: Verify with other pairs

E.g., (-5.4,4.4) & (-0.6,4.4): a=(−5.4+(−0.6))/2=−3

Answer:

x = -3