Geometry CP 4.4-4.5 Check-up

Front

What is a congruence transformation?

Back

A congruence transformation is a geometric transformation that preserves the shape and size of a figure, meaning the original figure and the transformed figure are congruent.

Front

What is a rotation in geometry?

Back

A rotation is a transformation that turns a figure around a fixed point, called the center of rotation, by a certain angle in a specified direction.

Front

What does a 90-degree counterclockwise rotation about the origin do to a point (x, y)?

Back

It transforms the point (x, y) to (-y, x).

Front

What does a 180-degree counterclockwise rotation about the origin do to a point (x, y)?

Back

It transforms the point (x, y) to (-x, -y).

Front

What is a translation in geometry?

Back

A translation is a transformation that moves every point of a figure the same distance in the same direction.

Front

How do you represent a translation vector?

Back

A translation vector is represented as , where 'a' is the horizontal shift and 'b' is the vertical shift.

Front

What is dilation in geometry?

Back

Dilation is a transformation that alters the size of a figure but keeps its shape, defined by a scale factor.

Front

What is the scale factor in dilation?

Back

The scale factor is a number that describes how much a figure is enlarged or reduced during a dilation.

Front

What does a scale factor of k = 2 indicate?

Back

A scale factor of k = 2 indicates an enlargement, meaning the image is twice the size of the preimage.

Front

What does a scale factor of k = 1/2 indicate?

Back

A scale factor of k = 1/2 indicates a reduction, meaning the image is half the size of the preimage.