Transformation matrices

Answer Key - Grade 11 Math Worksheet - Challenge Me

Circle the best answer, or write your answer on the line.

1. 1.

   Bo applies a 90° clockwise turn about the origin to a rocket trail drawing with vertex matrix V = [-2, 3; 5, 4], columns C and D. Which matrix is the image?

   • [-5, -4; -2, 3]
   • [2, -3; -5, -4]
   • [5, 4; 2, -3]
   • [-3, -2; -4, 5]
2. 2.

   Jun applies a 90° counterclockwise turn about the origin to a robot arm drawing with vertex matrix V = [-5, 2; -1, 6], columns C and D. Which matrix is the image?

   • [5, -2; 1, -6]
   • [2, 5; 6, 1]
   • [-1, 6; 5, -2]
   • [1, -6; -5, 2]
3. 3.

   Kira applies a reflection over the line y = -x to a boat sail drawing with vertex matrix V = [4, -3; 1, -6], columns C and D. Which matrix is the image?

   • [-4, 3; -1, 6]
   • [3, -4; 6, -1]
   • [1, -6; 4, -3]
   • [-1, 6; -4, 3]
4. 4.

   Luz gives a kite sticker a flip over the x-axis, then a 90° counterclockwise turn. Corner C starts at (3, 1). Where does C end up, written like (8, -1)?

   (1, 3)
5. 5.

   Noah gives a robot sticker a flip over the line y = x, then a 90° counterclockwise turn. Corner U starts at (-1, 4). Where does U end up, written like (8, -1)?

   (1, 4)
6. 6.

   Pia wants one matrix that gives a quilt block a flip over the x-axis (T1), then a 90° counterclockwise turn (T2) about the origin. Which matrix is it?

   • [0, -1; 1, 0]
   • [1, 0; 0, -1]
   • [0, 1; 1, 0]
   • [0, -1; -1, 0]
7. 7.

   Zee wants one matrix that gives a robot design a flip over the line y = -x (T1), then a 90° counterclockwise turn (T2) about the origin. Which matrix is it?

   • [-1, 0; 0, 1]
   • [0, -1; 1, 0]
   • [1, 0; 0, -1]
   • [0, -1; -1, 0]
8. 8.

   Bo moved a robot sticker with [0, -1; 1, 0], a 90° counterclockwise turn about the origin. Corner G′ is now at (-3, 4). Where was G, written like (8, -1)?

   (4, 3)
9. 9.

   Esme moved a boat sticker with [0, 1; -1, 0], a 90° clockwise turn about the origin. Corner H′ is now at (5, 2). Where was H, written like (8, -1)?

   (-2, 5)
10. 10.

    Jun moved a star sticker with [2, 0; 0, 2], a dilation by scale factor 2 about the origin. Corner S′ is now at (6, -4). Where was S, written like (8, -1)?

    (3, -2)