Unit 3 Test Review

Front

What is the rule for reflecting a point across the line y = -1?

Back

To reflect a point across the line y = -1, you take the y-coordinate of the point, subtract it from -1, and then add that difference to -1.

Front

What are the coordinates of a point A' after rotating point A (x, y) 180° about the origin?

Back

The coordinates of A' after a 180° rotation about the origin are (-x, -y).

Front

How do you translate a point M (x, y) using the rule (x, y) --> (x - 1, y)?

Back

To translate point M, subtract 1 from the x-coordinate while keeping the y-coordinate the same.

Front

What happens to the coordinates of a point I when it is reflected across the x-axis?

Back

When reflected across the x-axis, the x-coordinate remains the same, and the y-coordinate changes sign.

Front

How do you reflect a point D (x, y) over the line y = -x?

Back

To reflect a point over the line y = -x, swap the x and y coordinates and change their signs, resulting in (-y, -x).

Front

What is the effect of a reflection across the y-axis on a point (x, y)?

Back

Reflecting a point across the y-axis changes the sign of the x-coordinate, resulting in (-x, y).

Front

What is the effect of a reflection across the line y = 1 on a point (x, y)?

Back

To reflect a point across the line y = 1, subtract the y-coordinate from 2 and keep the x-coordinate the same, resulting in (x, 2 - y).

Front

If point A (3, 4) is reflected across the line y = 2, what are the coordinates of A'?

Back

The coordinates of A' after reflection across the line y = 2 are (3, 0).

Front

What are the coordinates of point B' after rotating point B (2, 3) 90° counterclockwise about the origin?

Back

The coordinates of B' after a 90° counterclockwise rotation are (-3, 2).

Front

How do you find the image of a point after a translation of (x, y) by (3, -2)?

Back

To find the image, add 3 to the x-coordinate and subtract 2 from the y-coordinate, resulting in (x + 3, y - 2).