Question

Linel is the perpendicular bisector of segment ac, d is any point on l

d
which reflection of the plane can we use to prove d is equidistant from a and c, and why?

Answer 1

To prove that point D is equidistant from points A and C, we can use the reflection of the perpendicular bisector line LD in a plane.

Step-by-step explanation:

To prove that point D is equidistant from points A and C, we can use the reflection of the perpendicular bisector line LD in a plane.

When we reflect point D in the plane, the distance from the reflected point to point A will be equal to the distance from the reflected point to point C.

This is because the reflection preserves distances, so if D is equidistant from A and C, its reflection will also be equidistant from A and C.

Answer 2

The reflection of the plane we can use to prove d is equidistant from a and c is the reflection across line l

How to determine the line of reflection of the transformation

From the question, we have the following parameters that can be used in our computation:

Line L is the perpendicular bisector of segment AC

Also, we can see that

Both figures are in opposite sides of the line L

This means that the line of reflection must be the line that passes through the points the line L passes through

This in other words means that the line of reflection is the line L itself