Question

the figure is reflected across line l. which figure is the result of this transformation?

Explanation:

Step1: Recall reflection property

In a reflection across a line, each point of the original figure has a corresponding point on the other - side of the line of reflection such that the line of reflection is the perpendicular bisector of the segment connecting the two points. This results in a mirror - image of the original figure.

Step2: Analyze orientation

The original figure's orientation will be reversed with respect to the line of reflection. The left - hand side of the original figure will be on the right - hand side of the reflected figure and vice - versa.

Step3: Examine options

Option A has the correct mirror - image orientation with respect to the line \(l\). Option B has incorrect shape orientation. Option C has incorrect shape orientation and position. Option D is the same as the original figure and not a reflection.

Answer:

A.