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

Translation, Reflection, Rotation, and Dilation.

Front

Define translation in geometry.

Back

Translation is a transformation that moves every point of a shape the same distance in a given direction.

Front

What does it mean to reflect a shape over the x-axis?

Back

Reflecting a shape over the x-axis means to flip it over the x-axis, changing the sign of the y-coordinates.

Front

What does it mean to reflect a shape over the y-axis?

Back

Reflecting a shape over the y-axis means to flip it over the y-axis, changing the sign of the x-coordinates.

Front

How do you rotate a shape 90 degrees counterclockwise about the origin?

Back

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

Front

What is the rule for a translation that moves a point 2 units to the right and 3 units down?

Back

The rule is (x + 2, y - 3).

Front

What is the result of rotating the point (3, 4) 180 degrees about the origin?

Back

The new coordinates will be (-3, -4).

Front

Describe the transformation represented by the rule (x - 1, y + 5).

Back

This rule represents a translation 1 unit to the left and 5 units up.

Front

What is a dilation in geometry?

Back

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