Composition Transformations

Front

What is a transformation in geometry?

Back

A transformation 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, rotation, reflection, and dilation.

Front

Define translation in geometry.

Back

Translation is a transformation that moves every point of a shape the same distance in the same direction.

Front

What is a rotation?

Back

A rotation is a transformation that turns a shape around a fixed point, called the center of rotation, by a certain angle.

Front

What is reflection in geometry?

Back

Reflection is a transformation that flips a shape over a line, creating a mirror image.

Front

What does it mean for two shapes to be congruent?

Back

Two shapes are congruent if they have the same size and shape, meaning their corresponding sides and angles are equal.

Front

What is the effect of reflecting a shape over the x-axis?

Back

Reflecting a shape over the x-axis changes the sign of the y-coordinates of its points.

Front

What is the effect of reflecting a shape over the y-axis?

Back

Reflecting a shape over the y-axis changes the sign of the x-coordinates of its points.

Front

How do you perform a 90-degree rotation counterclockwise about the origin?

Back

To perform a 90-degree rotation counterclockwise about the origin, switch the coordinates of each point and change the sign of the new x-coordinate.

Front

What is the result of a translation T_{2, -1}?

Back

A translation T_{2, -1} moves a point 2 units to the right and 1 unit down.