11/21/24 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

What are the four main types of transformations?

Back

The four main types of transformations are translation, rotation, reflection, and dilation.

Front

Define congruent shapes.

Back

Congruent shapes are shapes that are identical in size, shape, and measure.

Front

What does it mean to rotate a shape 90° clockwise?

Back

Rotating a shape 90° clockwise means turning the shape 90 degrees to the right around a fixed point.

Front

What is a reflection in geometry?

Back

A reflection is a transformation that flips a shape over a line, creating a mirror image.

Front

How does a translation affect a shape?

Back

A translation moves a shape from one location to another without changing its size, shape, or orientation.

Front

What is the result of a 90° counterclockwise rotation of point (x, y)?

Back

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

Front

What does it mean for a transformation to preserve congruence?

Back

A transformation preserves congruence if the original shape and the transformed shape are congruent.

Front

What is the effect of a reflection across the x-axis on the coordinates (x, y)?

Back

The effect is that the coordinates become (x, -y).

Front

What is the effect of a reflection across the y-axis on the coordinates (x, y)?

Back

The effect is that the coordinates become (-x, y).