PencilGo

Grade 11 · Math · Algebra 2

11th grade Transformation matrices worksheet

6 printable versionsChallenge Me10 questions · answer keyFree · no account

Level: Building Confidence · On Level · Challenge Me

When it’s done, scan the sheet with your phone and PencilGo marks it and picks the next one. Create a free account

Version
Print

Transformation matrices

Grade 11 Math Worksheet - Challenge Me

NameDate

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

  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?

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

  2. Esme applies a reflection over the line y = x to a kite string drawing with vertex matrix V = [3, -4; -1, 2], columns C and D. Which matrix is the image?

    • [-1, 2; 3, -4]
    • [-3, 4; 1, -2]
    • [-4, 3; 2, -1]
    • [1, -2; -3, 4]

  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?

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

  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)?

  5. Milo gives a star sticker a flip over the y-axis, then a 90° clockwise turn. Corner W starts at (2, -5). Where does W end up, written like (8, -1)?

  6. Ren wants one matrix that gives a kite design a flip over the y-axis (T1), then a 90° counterclockwise turn (T2) about the origin. Which matrix is it?

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

  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. 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)?

  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)?

  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)?

PencilGopencilgo.com

11th grade Transformation matrices worksheet – printable
Print: 123456

About this worksheet

Transformation matrices. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

  • I can find the matrix for a reflection, a quarter turn or a dilation from where (1, 0) and (0, 1) go.
  • I can move a point or a whole shape with T × V, and name a move from its matrix.
  • I can combine two moves into one matrix in the right order, and undo a move with the inverse.

Standard: N-VM.C.11 (+)

Words to know

transformation matrix, T: A 2-by-2 table that moves every point of a shape.

vertex matrix, V: One column per corner: x on top, y below.

image: The shape after the move; corner C becomes C′.

T × V: The image's vertex matrix: a row of T against each column of V.

inverse matrix: The matrix that undoes a move.

quarter turn: A turn of 90° about the origin, clockwise or counterclockwise.

Common mistakes

Used the reflection over the other line, so the wrong number changed sign.

Turned the shape the opposite way. Turn a sheet of paper a quarter turn together, and say clockwise or counterclockwise.

Swapped the two numbers of a point but forgot that one or both also change sign.

What to say

Ask: on a flip over the x-axis, which number stays the same?

Ask: which quadrant should the new point be in?

Questions parents ask

What is the most common mistake with transformation matrices?

Used the reflection over the other line, so the wrong number changed sign.

How can I help my child with transformation matrices?

Ask: on a flip over the x-axis, which number stays the same?

Are these 11th grade math worksheets free to print?

Yes. All 6 printable versions at each level are free to print, with the answer key, and no account is needed.

More algebra 2

See all Algebra 2

Every sheet you scan goes into your child’s record: dated, marked and ready for the year-end portfolio. Homeschool records

Ready for easier practice?

Print a sheet, scan it when it’s done, and PencilGo picks the next one.

Create a free account