Analyzing Rotations in Pre-Algebra

What is the center of rotation in a geometric transformation?

• The outermost point of the rotating shape

• The midpoint of the shape being rotated

• The point that moves the most during rotation

• The fixed point around which the shape rotates

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

What remains constant during a rotation around the center of rotation?

• The shape's color

• The distance from the center to any point on the shape

• The orientation of the shape

• The angle of rotation

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

What is the angle of rotation if a figure is rotated to form a 90-degree angle with its original position?

• 45 degrees

• 90 degrees

• 360 degrees

• 180 degrees

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

If Maria thought she made a quarter turn in a car, but actually made a half turn, how many degrees did she rotate?

• 45 degrees

• 360 degrees

• 90 degrees

• 180 degrees

After a 90-degree rotation, what happens to the coordinates (2, 3) of a point?

• (2, -3)

• (-3, 2)

• (-2, 3)

• (3, -2)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

What is the new position of a point originally at (1, 1) after a 90-degree rotation?

• (-1, 1)

• (1, -1)

• (-1, -1)

• (1, 1)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

What is the result of rotating a point around the origin by 90 degrees clockwise?

• The x and y coordinates both become negative

• The x and y coordinates swap with y becoming negative

• The x and y coordinates remain unchanged

• The x and y coordinates swap with x becoming negative

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

How do the coordinates change after a 180-degree rotation?

• They remain the same

• They are halved

• They become their negatives

• They are doubled

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

What is the effect of a 270-degree clockwise rotation starting from a specific point?

• It is equivalent to a 180-degree rotation

• It moves the point to a completely new position

• It is equivalent to a 90-degree counterclockwise rotation

• It returns the point to its original position

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Which direction does a negative angle of rotation indicate?

• Upward

• Counterclockwise

• Clockwise

• Downward

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5