Worksheet

Symmetry of polygons: lines of symmetry and rotations that map a shape onto itself

Grade 10 Math Worksheet - Building Confidence

NameDate

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

  1. Bo draws a four-sided shape with 4 right angles and exactly 2 lines of symmetry. Which shape is it?

    • A parallelogram with no right angles
    • A square
    • A rectangle that is not a square
    • A rhombus that is not a square

  2. Esme draws a trapezoid with exactly 1 line of symmetry. What must be true about it?

    • Its two slanted sides are equal
    • It has four right angles
    • Its two parallel sides are equal
    • Both pairs of opposite sides are parallel

  3. Kira turns a regular hexagon ABCDEF, labeled counterclockwise, 120° counterclockwise about its center. It lands on itself. Where does corner A go?

    • C
    • B
    • E
    • D

  4. Luz turns a regular octagon ABCDEFGH, labeled counterclockwise, 135° counterclockwise about its center. It lands on itself. Where does corner B go?

    • E
    • G
    • F
    • C

  5. Milo turns a regular pentagon ABCDE, labeled counterclockwise, 216° counterclockwise about its center. It lands on itself. Where does corner B go?

    • E
    • D
    • A
    • C

  6. Noah turns a regular nonagon ABCDEFGHI, labeled counterclockwise, 120° counterclockwise about its center. It lands on itself. Where does corner C go?

    • D
    • I
    • G
    • F

  7. Pia's regular polygon fits onto itself after a smallest turn of 36°. How many of its lines of symmetry go through two opposite corners?

  8. Ren's regular polygon fits onto itself after a smallest turn of 30°. How many of its lines of symmetry go through two opposite corners?

  9. Tala's regular polygon fits onto itself after a smallest turn of 45°. How many of its lines of symmetry go through two opposite corners?

  10. Zee's regular polygon fits onto itself after a smallest turn of 20°. How many of its lines of symmetry go through two opposite corners?

PencilGopencilgo.com

Symmetry of polygons: lines of symmetry and rotations that map a shape onto itself

Answer Key - Grade 10 Math Worksheet - Building Confidence

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

  1. Bo draws a four-sided shape with 4 right angles and exactly 2 lines of symmetry. Which shape is it?

    • A parallelogram with no right angles
    • A square
    • A rectangle that is not a square
    • A rhombus that is not a square

  2. Esme draws a trapezoid with exactly 1 line of symmetry. What must be true about it?

    • Its two slanted sides are equal
    • It has four right angles
    • Its two parallel sides are equal
    • Both pairs of opposite sides are parallel

  3. Kira turns a regular hexagon ABCDEF, labeled counterclockwise, 120° counterclockwise about its center. It lands on itself. Where does corner A go?

    • C
    • B
    • E
    • D

  4. Luz turns a regular octagon ABCDEFGH, labeled counterclockwise, 135° counterclockwise about its center. It lands on itself. Where does corner B go?

    • E
    • G
    • F
    • C

  5. Milo turns a regular pentagon ABCDE, labeled counterclockwise, 216° counterclockwise about its center. It lands on itself. Where does corner B go?

    • E
    • D
    • A
    • C

  6. Noah turns a regular nonagon ABCDEFGHI, labeled counterclockwise, 120° counterclockwise about its center. It lands on itself. Where does corner C go?

    • D
    • I
    • G
    • F

  7. Pia's regular polygon fits onto itself after a smallest turn of 36°. How many of its lines of symmetry go through two opposite corners?

    5

  8. Ren's regular polygon fits onto itself after a smallest turn of 30°. How many of its lines of symmetry go through two opposite corners?

    6

  9. Tala's regular polygon fits onto itself after a smallest turn of 45°. How many of its lines of symmetry go through two opposite corners?

    4

  10. Zee's regular polygon fits onto itself after a smallest turn of 20°. How many of its lines of symmetry go through two opposite corners?

    9