The Lesson
A reflection flips a shape.
A reflection is a flip of a shape about a line (called the line of reflection).
A reflection is a type of
transformation.
A Real Example of a Reflection
It is easier to understand reflection with an example.
The diagram below shows a reflection of a shape. The shape before the reflection (called the
object) is in light blue. The shape after the reflection (called the
image) is in dark blue:
In this example, the shape has reflected in a line of reflection (shown as a
red dashed line) on the
y-axis.
Properties of a Reflection
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Each point in the image is the same perpendicular distance from the line of reflection as the corresponding point in the object.
Point A' is the reflection of point A. They are both 3 squares away from the line of reflection.
Point B' is the reflection of point B. They are both 1 square away from the line of reflection.
-
The image is the same size as the object.
-
If you were to fold the diagram along the line of reflection, the image would fit exactly over the object.
Reflected Shapes Are Congruent Shapes
If a shape can be transformed to another using only reflection, then the two shapes are
congruent.
Congruent shapes have the same size, line lengths, angles and areas.
They are the same shape and size, just in a different position.
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