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

Define dilation in geometry.

Back

Dilation is a transformation that produces a figure similar to the original by increasing or decreasing its size, using a scale factor.

Front

What is a scale factor?

Back

A scale factor is a number that scales, or multiplies, the dimensions of a figure during a dilation.

Front

What happens to the coordinates of a point (x, y) when it is dilated by a scale factor of k?

Back

The new coordinates will be (kx, ky).

Front

What is a reflection in geometry?

Back

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

Front

How do you reflect a point across the x-axis?

Back

To reflect a point (x, y) across the x-axis, the new coordinates will be (x, -y).

Front

How do you reflect a point across the y-axis?

Back

To reflect a point (x, y) across the y-axis, the new coordinates will be (-x, y).

Front

What is a translation in geometry?

Back

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

Front

If a point (3, 4) is translated 5 units left and 2 units up, what are the new coordinates?

Back

The new coordinates are (-2, 6).

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.