Question

given quadrilateral pqrs in the diagram, find a line of reflection that will flip the figure onto itself

Explanation:

Step1: Identify vertical segments

PS: (-3,2) to (-3,-7); QR: (3,-1) to (3,-4) (both vertical).

Step2: Find midpoint y-coordinate of PS

Midpoint y: (2 + (-7))/2 = -5/2 = -2.5.

Step3: Verify QR midpoint y-coordinate

Midpoint y: (-1 + (-4))/2 = -5/2 = -2.5.

Step4: Reflect over y=-2.5

P→S, Q→R; figure maps onto itself.

Answer:

y = -2.5