HGEO Ch. 4 Transformations

Front

What is a transformation in geometry?

Back

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

Front

What are the main types of transformations?

Back

The main types of transformations are translations, rotations, reflections, and dilations.

Front

Define translation in geometry.

Back

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

Front

What is a rotation in geometry?

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 a reflection in geometry?

Back

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

Front

What is dilation in geometry?

Back

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

Front

How do you perform a 90° clockwise rotation on a point (x, y)?

Back

To rotate a point (x, y) 90° clockwise, the new coordinates will be (y, -x).

Front

How do you perform a 90° counterclockwise rotation on a point (x, y)?

Back

To rotate a point (x, y) 90° counterclockwise, the new coordinates will be (-y, x).

Front

What is the result of translating the point (2, 3) by (-3, -9)?

Back

The new coordinates will be (-1, -6).

Front

If triangle ABC is reflected over the x-axis, what happens to the coordinates of point A (x, y)?

Back

The new coordinates will be (x, -y).