Transformation of Shapes

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

What does it mean to reflect a shape?

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, using a scale factor.

Front

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

Back

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

Front

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

Back

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

Front

What is the scale factor in dilation?

Back

The scale factor is a number that describes how much a shape is enlarged or reduced during dilation.

Front

If a shape is dilated by a scale factor of 2, what happens to its dimensions?

Back

If a shape is dilated by a scale factor of 2, its dimensions are doubled.