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 a rotation?

Back

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

Front

What does reflection mean 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, using a scale factor.

Front

How do you find the scale factor in dilation?

Back

The scale factor is found by dividing the distance from the center of dilation to a point on the image by the distance from the center to the corresponding point on the original shape.

Front

What is the rule for a translation of (x + 3, y - 2)?

Back

This rule means to move the shape 3 units to the right and 2 units down.

Front

What happens to the coordinates of a point (x, y) when it is rotated 90° clockwise about the origin?

Back

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

Front

What is the effect of a 180° rotation on the coordinates of a point (x, y)?

Back

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