Topic 3 Review - 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

What does it mean to translate a shape?

Back

To translate a shape means to slide it in a straight line from one position to another without changing its size, shape, or orientation.

Front

How do you perform a 90° clockwise rotation about the origin?

Back

To perform a 90° clockwise rotation about the origin, switch the coordinates (x, y) to (y, -x).

Front

What is the result of reflecting a point (x, y) over the x-axis?

Back

The result of reflecting a point (x, y) over the x-axis is (x, -y).

Front

What is the result of reflecting a point (x, y) over the y-axis?

Back

The result of reflecting a point (x, y) over the y-axis is (-x, y).

Front

What does it mean to rotate a shape 180° about the origin?

Back

To rotate a shape 180° about the origin, change the signs of both coordinates (x, y) to (-x, -y).

Front

What is a composition of transformations?

Back

A composition of transformations is when two or more transformations are combined to produce a single transformation.

Front

How do you describe the transformation T(x,y) --> (x - 4, y + 1)?

Back

This transformation translates the shape 4 units left and 1 unit up.

Front

What is the effect of a dilation transformation?

Back

A dilation transformation changes the size of a shape but keeps its proportions the same.