Question

examine the polygon in the figure shown. identify a line of symmetry that will flip the figure onto itself

Explanation:

Step1: Determine coordinates of vertices

W(-2,5), A(8,5), R(8,-1), D(-2,-1)

Step2: Identify shape type

Rectangle (opposite sides equal, right angles)

Step3: Find vertical symmetry line

Midpoint of WA: ((-2+8)/2,5)=(3,5); Midpoint of RD: ((8-2)/2,-1)=(3,-1). Line x=3

Step4: Verify reflection

W(-2,5)→A(8,5); A(8,5)→W(-2,5); D(-2,-1)→R(8,-1); R(8,-1)→D(-2,-1)

Answer:

x=3