Rigid Transformations

Front

What is a rigid transformation?

Back

A rigid transformation is a transformation that preserves the shape and size of a figure. Examples include translations, rotations, and reflections.

Front

What is a translation in geometry?

Back

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

Front

What is a reflection in geometry?

Back

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

Front

What is a rotation in geometry?

Back

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

Front

What does it mean to reflect a figure across the y-axis?

Back

Reflecting a figure across the y-axis means that each point of the figure is moved to a point that is the same distance from the y-axis but on the opposite side.

Front

What does it mean to rotate a figure 180 degrees about the origin?

Back

Rotating a figure 180 degrees about the origin means that each point of the figure is moved to a position directly opposite its original position, effectively flipping it upside down.

Front

What is the angle of rotation for a 90-degree clockwise rotation?

Back

A 90-degree clockwise rotation turns a figure to the right, moving each point to a new position that is 90 degrees around the center of rotation.

Front

How do you find the measure of an angle in a triangle?

Back

The measure of an angle in a triangle can be found using the triangle sum theorem, which states that the sum of the angles in a triangle is always 180 degrees.

Front

What is the relationship between angles formed by parallel lines and a transversal?

Back

When a transversal crosses parallel lines, it creates corresponding angles that are equal, alternate interior angles that are equal, and consecutive interior angles that are supplementary.

Front

What is the formula for finding the distance between two points in a coordinate plane?

Back