Rotations-2

Triangle A is rotated 90° clockwise with the origin as the center of rotation to create a new figure. Which rule describes rotating 90° clockwise?

• (x,y)→(y, -x) 

• (x,y)→(-x,-y)

• (x,y)→(-y,x)

• (x,y)→(x,y)

Triangle A is rotated 270° counterclockwise with the origin as the center of rotation to create a new figure. Which rule describes rotating 270° counterclockwise?

• (x,y)→(y, -x) 

• (x,y)→(x,y)

• (x,y)→(-y,x)

• (x,y)→(-x,-y)

Triangle C is rotated 180° clockwise with the origin as the center of rotation to create a new figure. Which rule describes rotating 180° clockwise?

• (x,y)→(y, -x) 

• (x,y)→(-x,-y)

• (x,y)→(x,y)

• (x,y)→(-y,x)

Triangle B is rotated 90° counterclockwise with the origin as the center of rotation to create a new figure. Which rule describes this transformation?

• (x,y)→(y, -x) 

• (x,y)→(x,y)

• (x,y)→(-x,-y)

• (x,y)→(-y,x)

Rotate the point (7,8) around the origin 90 degrees counterclockwise.
State the image of the point.

• (-7,-8)

• (8,-7)

• (-8,7)

• (8,7)

Rotate the point (-3,-4) around the origin 180 degrees clockwise. State the image of the point.

• (-4,-3)

• (-4,3)

• (4,-3)

• (3,4)

Point A is located at (3, 5). If you were to rotate ABCD 90° counterclockwise about the origin, what would the coordinate of A' be?

• (-5, 5)

• (-3, 5)

• (-5, 3)

• (-3, 3)

How many degrees was the figure rotated?

• 90 degrees counterclockwise 

• 180 degrees

• 270 counterclockwise 

• 90 degrees clockwise

Pentagon ABCDE is rotated 180° clockwise about the origin to form pentagon A'B'C'D'E'. Which statement is true?

• Pentagon ABCDE is congruent to pentagon A'B'C'D'E'.

• The sum of the angle measures of pentagon A'B'C'D'E is 180° more than the sum of the angle measures of pentagon ABCDE.

• Each side of pentagon A'B'C'D'E' is 2 times the corresponding side length of pentagon ABCDE.

• Each side of pentagon A'B'C'D'E' is 1/2 the corresponding side length of pentagon ABCDE.

Trapezoid PQRS is rotated 180° about the origin to form trapezoid P'Q'R'S'. Which statement is true?

• The sum of the angle measures of trapezoid PQRS is 180° less than the sum of the angle measures of trapezoid P'Q'R'S'.

• Trapezoid PQRS is not congruent to trapezoid P'Q'R'S'.

• The area of trapezoid PQRS is less than the area of trapezoid P'Q'R'S'.

• The angle measures of trapezoid PQRS are equal to corresponding angle measures of trapezoid P'Q'R'S'.