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

In a reflection, pairs of corresponding points do not lie on segments perpendicular to the line of reflection.

Step-by-step explanation:

In a reflection, pairs of corresponding points do not lie on segments perpendicular to the line of reflection. This statement is false.

When an object is reflected across a line, called the line of reflection, the corresponding points on the object and its reflection are equidistant from the line of reflection, creating a perpendicular bisector between those points and the line of reflection. The segments connecting corresponding points form a right angle with the line of reflection, not perpendicular segments.

For example, imagine a line of reflection as a mirror. If you have an object and its reflection, the segments connecting corresponding points on the object and its reflection would form a right angle with the mirror, not perpendicular segments.