An Introduction to Transformations

A rigid transformation moves a figure without changing its size or shape. So the original figure and the transformed figure are always congruent

Rotation (turn), Translation (slide), and Reflection (flip) are the three different kinds of transformations

When a figure flips over a line, creating a mirror image, it is called a reflection

A rotation is the movement of a figure around a point. A point of rotation can be on or outside a figure. The location and position of a figure can change with a rotation

A translation is the movement of a figure along a straight line. Only the location of the figure changes with a translation

One way to determine whether two figures are congruent is to position one figure ‘on top of’ the other

If a triangle is rotated, translated, or reflected, the resulting triangle will be congruent to the original triangle

When a figure flips over a line, creating a mirror image, it is called a reflection (flip)

A rotation is the movement of a figure around a point. A point of rotation can be on or outside a figure. The location and position of a figure can change with a rotation (turn)

A translation is the movement of a figure along a straight line. Only the location of the figure changes with a translation (slide)