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 rotation in geometry?

Back

Rotation is a transformation that turns a shape around a fixed point, called the center of rotation.

Front

Define reflection in geometry.

Back

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

Front

What is dilation in geometry?

Back

Dilation is a transformation that changes the size of a shape but not its shape, by a scale factor.

Front

How does a translation affect the coordinates of a point?

Back

In a translation, if a point (x, y) is moved by (a, b), the new coordinates will be (x+a, y+b).

Front

What happens to a shape during a rotation?

Back

During a rotation, the shape maintains its size and shape but changes its position around the center of rotation.

Front

What is the effect of a reflection over the x-axis?

Back

A reflection over the x-axis changes the sign of the y-coordinate of each point.

Front

What is the effect of a reflection over the y-axis?

Back

A reflection over the y-axis changes the sign of the x-coordinate of each point.