Question

How many ways can a rectangle be reflected across an axis of symmetry so that it carries onto itself?
A) 1
B) 2
C) 3
D) 4

Answer 1

What happens when you reflect the regular pentagon below across line f? Why is the line of reflection in this case called a line of symmetry?

Reflection Symmetry
A shape has symmetry if it is indistinguishable from its transformed image. A shape has reflection symmetry if there exists a line of reflection that carries the shape onto itself. This line of reflection is called a line of symmetry. In other words, if you can reflect a shape across a line and the shape looks like it never moved, it has reflection symmetry.
A rectangle is an example of a shape with reflection symmetry. A line of reflection through the midpoints of opposite sides will always be a line of symmetry.

A rectangle has two lines of symmetry. You can imagine folding the rectangle along each line of symmetry and each half of the rectangle would match up perfectly. Remember that a shape has to have at least one line of symmetry for it to be considered a shape with reflection symmetry. so i think 2

Answer 2

4

Answer 3

So which one is it, 2 or 4?

Answer 4

4