Rotation in Geometry

Rotation Rules (clockwise):

90^o rotation: (x, y)→(y, -x)

What are the coordinates for A' after a 90^⁰ rotation clockwise?

• (1, 3)

• (3, 1)

• (3, -1)

• (1, -3)

Rotation Rules (clockwise):

180^o rotation: (x, y)→(-x, -y)

What are the coordinates of C' after a rotation of 180° clockwise?

• (-3, -1)

• (3,1)

• (1,3)

• (-1, -3)

Rotation Rules (clockwise):

270^o rotation: (x, y)→(-y, x)

What are the coordinates of B' after a 270° clockwise?

• (4, 4)

• (4, -4)

• (-3, 4)

• (-4, 4)

Does the image show a rotation? If so, what is the angle of rotation?

• 90° counterclockwise

• 180° counterclockwise

• 270° counterclockwise

• Not a rotation

congruent

• geometric figures that are identical in size and shape

• a unit of measurement of angles. a full circle is divided into 360 degrees

• a two-dimensional shape made by drawing a curve that is always the same distance from a center

• tells the relationship between two or more things

• A

• B

• C

• D

• A

• B

• C

• D

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)

The spinning of an object on its axis is called______

• orbit

• rotation

• revolution

• tide

The image A'B'C' is a rotation of ABC.

• True

• False