Question

a line segment has endpoints at (-4, -6) and (-6, 4). which reflection will produce an image with endpoints at (4, -6) and (6, 4)? a reflection of the line segment across the x - axis a reflection of the line segment across the y - axis a reflection of the line segment across the line y = x a reflection of the line segment across the line y = -x

Explanation:

Step1: Recall reflection rules

Reflection across y - axis changes (x,y) to (-x,y).

Step2: Apply rule to endpoints

For endpoint (-4,-6), reflection across y - axis gives (4,-6). For endpoint (-6,4), reflection across y - axis gives (6,4).

Answer:

a reflection of the line segment across the y - axis