March 19: Rotations

Rotations

• Rotation is a "TURN"s

• Rotations are considered RIGID because the pre-images and final images will always be CONGRUENT (Same Shape, Same Size, Same Measurements, Same Lengths)

Multiple Choice

How many quadrants are there on a coordinate plane?

• 1

• 2

• 3

• 4

Multiple Choice

How many degrees is a quadrant worth?

• 90 degrees

• 180 degrees

• 270 degrees

• 360 degrees

Multiple Choice

The clock is going in the __________ direction.

• Clockwise

• Counterclockwise

Multiple Choice

The clock is going in the __________ direction.

• clockwise

• counterclockwise

Multiple Choice

Rotate the point (5,5) around the origin 180 degrees counterclockwise. State the image of the point.

Rule: (x, y) ---- ( -x, -y)

• (5,-5)

• (5,5)

• (-5,5)

• (-5,-5)

Multiple Choice

If you were to rotate ABCD 90°clockwise about the origin, what would the coordinate of A' be?

Rule: (x, y) ----- (y, -x)

• (-5, 5)

• (5, -3)

• (-5, 3)

• (-3, 3)

Multiple Choice

How many degrees was the figure rotated?

• 270 degrees clockwise

• 180 degrees

• 90 degrees clockwise

Multiple Choice

Triangle A is rotated 270° clockwise with the origin as the center of rotation to create a new figure. Which triangle shows the new location?

• A

• B

• C

• D

Multiple Choice

Identify the transformation from A to D.

• 90^o Clockwise Rotation
• 180^o Rotation
• 270^o  clockwise Rotation
• 360^o Rotation

Graphing

The black points create a triangle that is a pre-image.

Its vertices are at (-1, -1); (-4, -2); and (-2, -5).

Drag the blue points to where they will go if we rotate the image 90° clockwise about the point (0,0).

Graphing

The black points create a triangle that is a pre-image. Its vertices are at (1, 3); (2, 1); and (3, 2).

Drag the blue points to rotate the image 180° counterclockwise around the point (0, 0).