Lesson Check #5 Review

Front

What is a translation in geometry?

Back

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

Front

Describe a reflection in geometry.

Back

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

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 specified angle.

Front

Define rigid motion.

Back

Rigid motion is a transformation that preserves the shape and size of a figure, including translations, rotations, and reflections.

Front

What does it mean to rotate a figure 90 degrees counterclockwise around the origin?

Back

It means to turn the figure 90 degrees in the opposite direction of the clock's hands around the origin (0, 0).

Front

How do you perform a translation of a point (x, y) by (a, b)?

Back

You add the values of a and b to the coordinates: (x, y) becomes (x + a, y + b).

Front

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

Back

The result is (-x, y).

Front

What is the effect of a 180-degree rotation around the origin on a point (x, y)?

Back

The point becomes (-x, -y).

Front

Explain the sequence of transformations: translation followed by reflection.

Back

First, the figure is moved to a new position (translation), and then it is flipped over a line (reflection).

Front

What is the transformation that moves a point 6 units left and 3 units up?

Back

This is a translation represented as (x, y) becomes (x - 6, y + 3).