Semester Exam Review #3 (Topics 9-12)

Front

What is a reflection in geometry?

Back

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

Front

What does it mean to rotate a point 90 degrees counterclockwise?

Back

To rotate a point 90 degrees counterclockwise means to turn the point around the origin in a counterclockwise direction by a quarter turn.

Front

What is the result of reflecting a point over the y-axis?

Back

The x-coordinate of the point changes sign, while the y-coordinate remains the same.

Front

How do you determine the coordinates of a point after a 180-degree rotation around the origin?

Back

Both the x and y coordinates change signs. For example, (x, y) becomes (-x, -y).

Front

What is the formula for reflecting a point (x, y) over the line y = k?

Back

The new coordinates after reflection are (x, 2k - y).

Front

If a point (a, b) is rotated 360 degrees, what are the new coordinates?

Back

The coordinates remain the same: (a, b).

Front

What does it mean to reflect a figure over the x-axis?

Back

The y-coordinate of each point in the figure changes sign, while the x-coordinate remains unchanged.

Front

What is the effect of a 90-degree clockwise rotation on the point (x, y)?

Back

The new coordinates become (y, -x).

Front

How do you reflect a point over the line x = k?

Back

The new coordinates after reflection are (2k - x, y).

Front

What is the result of rotating the point (3, 4) 180 degrees around the origin?

Back

The new coordinates are (-3, -4).