Transformations!

Front

What is a transformation in geometry?

Back

A transformation is a process that changes the position, size, or shape of a geometric figure.

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 slides a figure horizontally, vertically, or both without changing its shape or size.

Front

What is a rotation?

Back

A rotation is a transformation that turns a figure 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 figure over a line, creating a mirror image.

Front

What is dilation?

Back

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 congruent?

Back

Congruent figures have the same shape and size, meaning they can be superimposed on each other.

Front

How does a 90° clockwise rotation affect a point (x, y)?

Back

A 90° clockwise rotation transforms the point (x, y) to (y, -x).

Front

How does a 90° counterclockwise rotation affect a point (x, y)?

Back

A 90° counterclockwise rotation transforms the point (x, y) to (-y, x).

Front

What is the effect of a reflection across the x-axis on a point (x, y)?

Back

A reflection across the x-axis transforms the point (x, y) to (x, -y).