Rotation Notes Math

In the picture triangle A'B'C' is an image of triangle ABC after a rotation. The center of rotation D. What is the length of side B'C'? Type the number only.

The point (-4, 1) is rotated 180 degrees counterclockwise using center (0,0). What are the coordinates of the image?

• (-1, -4)

• (-1, 4)

• (4, 1)

• (4, -1)

Draw parallel lines AB and CD .

Pick any point E. Rotate AB 90 degrees clockwise around E.

Rotate CD 90 degrees clockwise around E.

Make mental notes of what you notice.

Points P and Q are plotted on a line. Find and plot Point R so that 180-degree rotation with center R sends P to Q and Q to P.

In the picture triangle A'B'C' is an image of triangle ABC after a rotation. The center of rotation D. What is the measure of angle B? Type the number only.

In the picture triangle A'B'C' is an image of triangle ABC after a rotation. The center of rotation D. What is the measure of angle C? Type the number only.

A transformation that “turns” a figure about a fixed point at a given angle and a given direction.

• reflection

• translation

• rotation

• dilation

What is this picture an example of? 

• An angle

• A cat vertex 

• Rotation 

• Dilation

Identify the transformation from A to D.

• 90^o Clockwise Rotation

• 180^o Rotation

• 270^o  clockwise Rotation

• 360^o Rotation

If you were to rotate ABCD 180°  about the origin, what would the coordinate of A' be?

• (-5, 5)

• (-3, -5)

• (-5, 3)

• (-3, 3)