Question

complete this assessment to review what youve learned. it will not count toward your grade. △abc is reflected over the line x = 2 to create △abc, which is then reflected over the line y = - 2. which of the following could describe this composition transformation using a single transformation? (1 point) a reflection over the line a translation in the same direction as the reflections a dilation by a certain factor a rotation about the intersection of the two perpendicular lines incorrect a dilation is not a rigid motion, so it would not result in a figure with the same shape and size. check answer remaining attempts 1

Explanation:

When a figure is reflected over two perpendicular lines, the composition of these two reflections is equivalent to a rotation about the intersection point of the two perpendicular lines. A reflection over a single line is not equivalent to two - perpendicular - line reflections. A translation is a different type of rigid motion and not equivalent here. A dilation changes the size of the figure and is not a rigid motion like reflections, so it cannot represent the composition of two reflections.

Answer:

a rotation about the intersection of the two perpendicular lines