Geometry Transformations

Front

What is a transformation in geometry?

Back

A transformation in geometry is an operation that moves or changes a shape in some way to produce a new shape.

Front

Define reflection in geometry.

Back

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

Front

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

Back

The result is the point (-x, y).

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

What is the effect of a 90-degree rotation counterclockwise around the origin on a point (x, y)?

Back

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

Front

What is dilation in geometry?

Back

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

Front

How do you identify a translation transformation?

Back

A translation transformation can be identified by a consistent change in position, such as moving every point of a shape the same distance in a specific direction.

Front

What is the result of reflecting the point (-5, 2) over the y-axis?

Back

The new point is (5, 2).

Front

Describe the sequence of transformations: Reflect across the x-axis and then rotate 90º clockwise around the origin.

Back

This sequence first flips the shape over the x-axis and then rotates it 90 degrees clockwise.

Front

What is the difference between rotation and reflection?

Back

Rotation turns a shape around a point, while reflection flips it over a line.