Transformation matrices

Answer Key - Grade 11 Math Worksheet - Building Confidence

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

1. 1.

   Pia applies the reflection over the line y = -x, [0, -1; -1, 0], to a quilt block. Corner D is at (3, 6). Where is D′, written like (8, -1)?

   (-6, -3)
2. 2.

   Ren applies the dilation by scale factor 3 about the origin, [3, 0; 0, 3], to a star sticker. Corner F is at (2, -4). Where is F′, written like (8, -1)?

   (6, -12)
3. 3.

   Tala applies the dilation by scale factor 2 about the origin, [2, 0; 0, 2], to a boat sticker. Corner G is at (-5, 3). Where is G′, written like (8, -1)?

   (-10, 6)
4. 4.

   Zee wants to reflect a kite design over the y-axis. Which matrix does that?

   • [-1, 0; 0, -1]
   • [-1, 0; 0, 1]
   • [1, 0; 0, -1]
5. 5.

   Bo wants to reflect a boat sticker over the x-axis. Which matrix does that?

   • [-1, 0; 0, -1]
   • [1, 0; 0, -1]
   • [-1, 0; 0, 1]
   • [0, 1; 1, 0]
6. 6.

   Esme wants to reflect a quilt block over the line y = x. Which matrix does that?

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

   Jun wants to reflect a robot sticker over the line y = -x. Which matrix does that?

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

   Kira reflects a kite sticker over the y-axis with a matrix. Corner H is at (6, -2). Where is H′, written like (8, -1)?

   (-6, -2)
9. 9.

   Luz turns a robot sticker 90° counterclockwise about the origin with a matrix. Corner Q is at (-3, 5). Where is Q′, written like (8, -1)?

   (-5, -3)
10. 10.

    Milo turns a boat sticker 90° clockwise about the origin with a matrix. Corner S is at (-4, 1). Where is S′, written like (8, -1)?

    (1, 4)