Question

Sam tries to draw lines of reflection through a rectangle so that the rectangle can be reflected onto itself. How many lines of reflection can Sam draw? Enter the answer in the box.

Answer 1

Answer:

  2

Step-by-step explanation:

You want the number of lines of reflection for a rectangle that will map it to itself.

Line of reflection

The line of reflection is the perpendicular bisector of the segment joining a point with its image. If one side of the rectangle is to map to itself, the line of reflection must be the perpendicular bisector of that side.

There are two unique perpendicular bisectors of the sides of a rectangle, hence 2 lines of reflection that will map a rectangle to itself.