Question

In a reflection pairs of corresponding points lie on segments perpendicular to the line to the line of reflection true or false

Answer 1

The statement that pairs of corresponding points lie on parallel lines in a reflection, is false.

What are reflections?

When a point is reflected, then the point is flipped across a point or line of reflection. A reflection in mathematics is a mapping from a Euclidean space to itself that is an isometry with a set of fixed points known as the hyperplane, also known as the axis or plane of reflection.

The mirror image of a figure in the axis or plane of reflection is the image produced by a reflection.

When a point is reflected, the following highlights are possible. The corresponding points can line on the same line. The corresponding points can line on parallel lines

Using the above highlights, we can conclude that the statement is false. This is so because corresponding points are not always on parallel lines

Read more about reflection at:

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