TEST: Transformations (BPW Unit)

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

How do you find the coordinates of a reflected point over the x-axis?

Back

To find the coordinates of a point reflected over the x-axis, change the sign of the y-coordinate. For point (x, y), the reflected point is (x, -y).

Front

How do you find the coordinates of a reflected point over the y-axis?

Back

To find the coordinates of a point reflected over the y-axis, change the sign of the x-coordinate. For point (x, y), the reflected point is (-x, y).

Front

What is a translation in geometry?

Back

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

Front

What is the algebraic rule for translating a point (x, y) by (a, b)?

Back

The algebraic rule for translating a point (x, y) by (a, b) is (x + a, y + b).

Front

What does it mean to rotate a figure in geometry?

Back

To rotate a figure means to turn it around a fixed point, called the center of rotation, by a certain angle.

Front

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

Back

A 90-degree clockwise rotation transforms the coordinates (x, y) to (y, -x).

Front

What is the effect of a 270-degree clockwise rotation on the coordinates (x, y)?

Back

A 270-degree clockwise rotation transforms the coordinates (x, y) to (-y, x).

Front

What is the difference between a reflection and a rotation?

Back

A reflection creates a mirror image over a line, while a rotation turns a figure around a point.

Front

How do you determine the coordinates of a trapezoid reflected across the x-axis?

Back

To determine the coordinates of a trapezoid reflected across the x-axis, change the sign of the y-coordinates of each vertex.