Turn a shape about the origin
Grade 8 Math Worksheet - Challenge Me
Circle the best answer, or write your answer on the line.
Jun turns a kite sticker 270° counterclockwise about the origin, three quarter turns. Corner D starts at (2, 6). Where is D′? Write it like (7, -3).
Kira turns a boat sticker 270° counterclockwise about the origin, three quarter turns. Corner D starts at (-4, 3). Where is D′? Write it like (7, -3).
Milo turns a plane sticker 270° clockwise about the origin, three quarter turns. Corner D starts at (-2, -7). Where is D′? Write it like (7, -3).
Pia turns a snowflake sticker 180° about the origin, then slides it 2 units left and 3 units up. Where does corner D(3, -5) end? Write it like (7, -3).
Tala slides a turtle sticker 4 units right and 1 unit up, then turns it 90° counterclockwise about the origin. Where does corner D(1, 2) end? Write it like (7, -3).
Zee slides a rain umbrella sticker 4 units left and 2 units down, then turns it 180° about the origin. Where does corner D(6, 5) end? Write it like (7, -3).
Bo turned a castle sticker 90° counterclockwise about the origin. Now corner D′ is at (-4, 3). Where was D before the turn? Write it like (7, -3).
Kira writes rules on a card for a turn game. Which rule turns every point 270° counterclockwise about the origin?
- (x, y) → (−y, x)
- (x, y) → (y, x)
- (x, y) → (x, −y)
- (x, y) → (y, −x)
Luz makes a rule card for a board game. Which rule turns every point 270° clockwise about the origin?
- (x, y) → (y, x)
- (x, y) → (−x, y)
- (x, y) → (−y, x)
- (x, y) → (y, −x)
Milo spins a paper design all the way around once, a full 360° turn about the origin. Which rule tells where every point lands?
- (x, y) → (−x, −y)
- (x, y) → (−y, x)
- (x, y) → (x, y)
- (x, y) → (y, −x)