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 reflection in geometry.

Back

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

Front

What is the effect of reflecting a point (x, y) over the x-axis?

Back

The coordinates of the point become (x, -y).

Front

What is the effect of reflecting a point (x, y) over the y-axis?

Back

The coordinates of the point become (-x, y).

Front

What is a rotation in geometry?

Back

A rotation is a transformation that turns a figure around a fixed point, called the center of rotation.

Front

What is the angle of rotation for a 90-degree clockwise rotation?

Back

The coordinates of a point (x, y) become (y, -x).

Front

What is dilation in geometry?

Back

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

Front

How do you determine the scale factor in dilation?

Back

The scale factor is the ratio of the length of a side of the image to the length of the corresponding side of the original figure.

Front

What is the scale factor if a triangle's sides are doubled?

Back

The scale factor is 2.