Transformations in Geometry

Front

What is a transformation in geometry?

Back

A transformation in geometry is an operation that moves or changes a shape in some way to produce a new shape.

Front

What are the four main types of transformations?

Back

The four main types of transformations are translation, reflection, rotation, and dilation.

Front

What is a translation?

Back

A translation is a transformation that slides a figure in a straight line from one position to another without changing its size, shape, or orientation.

Front

What is a reflection?

Back

A reflection is a transformation that flips a figure over a line, creating a mirror image.

Front

What is a rotation?

Back

A rotation is a transformation that turns a figure around a fixed point at a certain angle.

Front

What is a dilation?

Back

A dilation is a transformation that changes the size of a figure but keeps its shape the same, using a scale factor.

Front

What does it mean for figures to be similar?

Back

Figures are similar if they have the same shape but may differ in size; they can be obtained from each other by dilation.

Front

What does it mean for figures to be congruent?

Back

Figures are congruent if they have the same shape and size; they can be obtained from each other by translations, reflections, or rotations.

Front

If point A(2, 3) is reflected over the y-axis, what are the coordinates of A'?

Back

A'(-2, 3) is the reflection of A(2, 3) over the y-axis.

Front

If point B(4, 5) is rotated 90 degrees counterclockwise around the origin, what are the coordinates of B'?

Back

B'(-5, 4) is the result of rotating B(4, 5) 90 degrees counterclockwise around the origin.