Lesson Check #5 Review

Front

What is a reflection across the x-axis?

Back

A transformation that flips a point over the x-axis, changing the sign of the y-coordinate. For example, the reflection of (x, y) is (x, -y).

Front

What is a reflection across the y-axis?

Back

A transformation that flips a point over the y-axis, changing the sign of the x-coordinate. For example, the reflection of (x, y) is (-x, y).

Front

What is a 90 degrees clockwise rotation about the origin?

Back

A transformation that rotates a point 90 degrees in the clockwise direction around the origin. For example, the rotation of (x, y) results in (y, -x).

Front

What is a 90 degrees counterclockwise rotation about the origin?

Back

A transformation that rotates a point 90 degrees in the counterclockwise direction around the origin. For example, the rotation of (x, y) results in (-y, x).

Front

What is a 180 degrees rotation about the origin?

Back

A transformation that rotates a point 180 degrees around the origin, resulting in the point's coordinates changing signs. For example, (x, y) becomes (-x, -y).

Front

What is a 270 degrees counterclockwise rotation about the origin?

Back

A transformation that rotates a point 270 degrees in the counterclockwise direction around the origin. For example, the rotation of (x, y) results in (-y, x).

Front

How do you find the coordinates after a reflection over the x-axis?

Back

To find the new coordinates after a reflection over the x-axis, keep the x-coordinate the same and change the sign of the y-coordinate. For example, (3, 5) becomes (3, -5).

Front

How do you find the coordinates after a reflection over the y-axis?

Back

To find the new coordinates after a reflection over the y-axis, keep the y-coordinate the same and change the sign of the x-coordinate. For example, (3, 5) becomes (-3, 5).

Front

What is the result of rotating point (2, 7) 180 degrees and then reflecting over the y-axis?

Back

The result is (2, -7). First, (2, 7) becomes (-2, -7) after rotation, and then reflecting over the y-axis gives (2, -7).

Front

What are the final coordinates of point B at (-3, 4) after a 90 degrees counterclockwise rotation and reflection over the x-axis?

Back

The final coordinates are (-4, 3). First, (-3, 4) rotates to (4, 3), and then reflecting over the x-axis gives (-4, 3).