Question

Which statement accurately describes how to reflect point A (−2, 1) over the x‐axis?

A. Construct a line from A perpendicular to the x-axis, determine the distance from A to the x-axis along this perpendicular line, find a new point on the other side of the x-axis that is equidistant from the x-axis.

B. Construct a line from A parallel to the x-axis, determine the distance from A to the x-axis along this parallel line, find a new point on the other side of the x-axis that is equidistant from the x-axis.

C. Construct a line from A perpendicular to the y-axis, determine the distance from A to the y-axis along this perpendicular line, find a new point on the other side of the y-axis that is equidistant from the y-axis.

D. Construct a line from A parallel to the y-axis, determine the distance from A to the y-axis along this parallel line, find a new point on the other side of the y-axis that is equidistant from the y-axis.

Answer 1

Answer:

A. Construct a line from A perpendicular to the x-axis, determine the distance from A to the x-axis along this perpendicular line, find a new point on the other side of the x-axis that is equidistant from the x-axis.

Step-by-step explanation:

The rule for a reflection over the x -axis is (x,y)→(x,−y) . The given point is A(-2,1) .The reflected point will be A'( -2,-1) .

To locate the reflected point A' we draw a perpendicular line from A then we measure the distance from point A to x axis along the perpendicular line drawn .The reflected point A' is constructed on the other side which is equidistant from x axis as was point A.

Option A is the right option.

Answer 2

Answer:

The Answer is

Step-by-step explanation:

A. Construct a line from A perpendicular to the x-axis, determine the distance from A to the x-axis along this perpendicular line, find a new point on the other side of the x-axis that is equidistant from the x-axis.