Rotations Knowledge Check

Use your notes to match the rules to their corresponding rotation.

• (x , y) → (y, -x)

• 90° clockwise

• (x , y) → (-y, x)

• 180° clockwise

• (x , y) → (-x, -y)

• 270 ° clockwise

A figure was transformed on the coordinate grid using the rule (x, y) → (-y, x). Which of the following describes this transformation?

• 90-degree counterclockwise rotation
• 180-degree clockwise rotation
• 90 degree clockwise

• No transformation occurred

Use your notes to match the rules to their corresponding rotation.

• 90° counterclockwise

• Make both coordinates negative (but we keep the order the same)

• 270° counterclockwise

• Switch both coordinates, then make the 2nd one negative

• 180° counterclockwise

• Switch both coordinates then make the 1st one negative

Triangle ABC is shown on the graph. If Triangle ABC is rotated 90° counterclockwise about the origin, what will the coordinates of B' be?

• (3, 4)

• (-4, -3)

• (-3,4)

• (4, -3)

Polygon ABCD is rotated 180° about the origin. What will the coordinate of B' be?

• (3, -3)

• (-3, 3)

• (-3, -3)

• (-⅓, -⅓)

Use the drop down menu to select the appropriate answer for the rotation rule:

The rule (x, y) → (-y, x) can be used to find the coordinates of a figure that has been rotated ​ (a)   ° clockwise about the origin.

• 270
• 90
• 180
• 360

Determine if the algebraic rules represent a ROTATION or a DILATION.

Groups:

(a) Rotation

,

(b) Dilation

• (x, y) → (¾x, ¾y)

• (x, y) → (-x, -y)

• (x, y) → (1.02x, 1.02y)

• (x, y) → (3x, 3y)

• (x, y ) → ( y , -x)

• (x, y) → (-y, x)

Triangle DAB is plotted on the graph. The following represents the coordinates of the points:

• D (-6, 1)

• A (-2, 1)

• B (-2, 4)

If this shape is rotated 180° about the origin, what rule should be used to find the new coordinates?

• Switch both coordinates and make the second number negative

• Switch both coordinates and make the first number negative

• Make both coordinates negative

• Keep the coordinates the same

Triangle DAB is plotted on the graph. The following represents the coordinates of the points:

• D (-6, 1)

• A (-2, 1)

• B (-2, 4)

If this shape is rotated 270° clockwise about the origin, what rule should be used to find the new coordinates?

• (x, y) → (-y, x)

• (x, y) → (-x, -y)

• (x, y) → (y, -x)

• (x, y) → (y, x)

Triangle DAB is plotted on the graph. The following represents the coordinates of the points:

• D (-6, 1)

• A (-2, 1)

• B (-2, 4)

The shape is rotated and the new coordinates are listed

• D (1, 6)

• A (1, 2)

• B (4, 2)

• 90 degrees counterclockwise

• 90 degrees clockwise

• 270 degrees clockwise

• 180 degrees