Geometry H 4.4-4.5 Check-up

Front

What is a congruence transformation?

Back

A congruence transformation is a transformation that preserves the shape and size of a figure, meaning the pre-image and image are congruent. Examples include translations, rotations, and reflections.

Front

Describe the effect of a reflection in the x-axis on a point (x, y).

Back

A reflection in the x-axis transforms the point (x, y) to (x, -y).

Front

What is the scale factor in a dilation?

Back

Front

What does a scale factor of k < 1 indicate in dilation?

Back

A scale factor of k < 1 indicates a reduction in size.

Front

What does a scale factor of k > 1 indicate in dilation?

Back

A scale factor of k > 1 indicates an enlargement in size.

Front

How do you determine if a dilation is a reduction or enlargement?

Back

If the scale factor k is less than 1, it is a reduction. If k is greater than 1, it is an enlargement.

Front

What is the result of a rotation of 90 degrees counterclockwise about the origin on a point (x, y)?

Back

A rotation of 90 degrees counterclockwise transforms the point (x, y) to (-y, x).

Front

What is the result of a rotation of 180 degrees about the origin on a point (x, y)?

Back

A rotation of 180 degrees transforms the point (x, y) to (-x, -y).

Front

What is the result of a rotation of 270 degrees counterclockwise about the origin on a point (x, y)?

Back

A rotation of 270 degrees counterclockwise transforms the point (x, y) to (y, -x).

Front

What is the relationship between two reflections in intersecting lines?

Back

Two reflections in intersecting lines result in a rotation about the point of intersection, with the angle of rotation being twice the angle between the two lines.