Rotations on Axes

Rotations on Axes

Multiple Choice

What is another word for rotation?

• Turn

• Flip

• Slide

• Shrink

The four quadrants are labeled using Roman Numerals as seen in this picture.

Multiple Choice

Identify the quadrant where the point is located. (6 , 3)

• I

• II

• III

• IV

Multiple Choice

Identify the quadrant where the point is located. (10 , -5)

• I

• II

• III

• IV

Multiple Choice

Identify the quadrant where the point is located. (-3 , -4)

• I

• II

• III

• IV

When a point or figure rotates, it requires:

• A number of degrees to turn - we will stick with 90, 180 or 270

• A direction to turn (clockwise or counterclockwise)

• A center to turn around - we will rotate around the origin (0, 0)

Multiple Choice

Which image represents counterclockwise?

Every 90^o will move a quarter-turn or one quadrant.

If you know what quadrant you are starting in, you can count the quadrants by 90s.

90^o rotation = move 1 quadrant

180^o rotation = move 2 quadrants

270^o rotation = move 3 quadrants

The point (-3, 4) moves counterclockwise one quadrant (90^o). In which quadrant will the point be?

Locate the original point (Quadrant II) and then move one quadrant in a counterclockwise direction. The correct answer is Quadrant III.

Multiple Choice

I'm (-4, -1) and I moved clockwise 2 quadrants (180^o). Where am I?

• I

• II

• III

• IV

Multiple Choice

I'm (2, -5) and I moved counterclockwise 3 quadrants (270^o). Where am I?

• I

• II

• III

• IV

Multiple Choice

I'm (5, 1) and I moved clockwise 90^o. Where am I?

• I

• II

• III

• IV

Multiple Choice

I'm (4, -2) and I moved counterclockwise 180^o. Where am I?

• I

• II

• III

• v

The signs of the coordinates of a point are specific to the Quadrant the point is in.

Multiple Choice

Which point is in Quadrant II?

• (-3, -2)

• (2, -3)

• (3, 2)

• (-3, 2)

Multiple Choice

Which point is in Quadrant III?

• (-3, -2)

• (2, -3)

• (3, 2)

• (-3, 2)

Multiple Choice

Which point is in Quadrant I?

• (-3, -2)

• (2, -3)

• (3, 2)

• (-3, 2)

Answer the following questions to identify the rotation that occurs with specifics of degree and direction.

This is an example of rotating 90^o counterclockwise because it rotated by one quadrant.

Multiple Choice

Triangle B is rotated 90° 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

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

What type of rotation does this represent (from red to blue)?

• 270⁰ clockwise

• 180⁰

• 90⁰ clockwise

Multiple Choice

Identify the transformation from A to D.

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

Multiple Choice

How many degrees was the figure rotated?

• 90 degrees counterclockwise 
• 180 degrees
• 270 counterclockwise 
• 90 degrees clockwise

Multiple Choice

Triangle C is rotated 180° 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

How many degrees was the figure rotated? Pay attention to the labels (prime notation)

• 90 degrees counterclockwise

• 180 degrees

• 90 degrees clockwise