Question

a double reflection of a preimage across perpendicular lines produce the same result as a scaled dilation 180 degree rotation 90 degree rotation or 270 degree rotation

Answer 1

A double reflection across two intersecting lines equals a rotation by twice the angle from the first line to the second. If the lines are perpendicular (angle = 90°), the composition is a rotation by 2·90° = 180° about the intersection point.

Example: reflect (x,y) across the x-axis → (x,−y), then across the y-axis → (−x,−y), which is a 180° rotation about the origin.

So the correct choice is: 180° rotation (not a dilation or a 90°/270° rotation).