Geometry Semester Review Topic 2

Front

What is the result of reflecting the point (x, y) across the line y = -x?

Back

The coordinates of the image will be (-y, -x).

Front

What are the new coordinates of a point (x, y) after a 90° counterclockwise rotation about the origin?

Back

The new coordinates will be (-y, x).

Front

How do you find the image of a point (x, y) reflected across the line x = a?

Back

The new coordinates will be (2a - x, y).

Front

What is the transformation represented by (x, y) → (x + a, y + b)?

Back

This represents a translation of the point (x, y) by a units in the x-direction and b units in the y-direction.

Front

What are the new coordinates of a point (x, y) after a 180° rotation about the origin?

Back

The new coordinates will be (-x, -y).

Front

What is the effect of reflecting a point across the x-axis?

Back

The new coordinates will be (x, -y).

Front

What happens to the coordinates of a point (x, y) when it is reflected across the y-axis?

Back

The new coordinates will be (-x, y).

Front

If a point (x, y) is translated by (3, -2), what are the new coordinates?

Back

The new coordinates will be (x + 3, y - 2).

Front

What is the formula for reflecting a point across the line y = k?

Back

The new coordinates will be (x, 2k - y).

Front

How do you determine the coordinates of a point after a 270° counterclockwise rotation about the origin?

Back

The new coordinates will be (y, -x).