Question

refer to the trapezoid in the diagram. identify a line of reflection that flips the trapezoid onto itself. (1 point) x = 0 x = 1 y = 1 y = 0

Explanation:

Step1: Recall line - of - reflection concept

A line of reflection that maps a figure onto itself is a line of symmetry. For a trapezoid on a coordinate - plane, we check each option.

Step2: Analyze x = 0 (y - axis)

If we reflect a point (x,y) across the line x = 0, the transformation is (x,y)→(-x,y). If we assume the trapezoid has non - symmetric points with respect to the y - axis, this is not the line of symmetry.

Step3: Analyze x = 1

If we reflect a point (x,y) across the line x = 1, the transformation is (x,y)→(2 - x,y). If the trapezoid is symmetric about the vertical line x = 1, then for every point (x,y) on one side of the line x = 1, there is a corresponding point (2 - x,y) on the other side. This could be the line of symmetry.

Step4: Analyze y = 1

If we reflect a point (x,y) across the line y = 1, the transformation is (x,y)→(x,2 - y). If the trapezoid has non - symmetric points with respect to the line y = 1, this is not the line of symmetry.

Step5: Analyze y = 0 (x - axis)

If we reflect a point (x,y) across the line y = 0, the transformation is (x,y)→(x,-y). If the trapezoid has non - symmetric points with respect to the x - axis, this is not the line of symmetry.

Answer:

x = 1