Rectangles, rhombuses and squares

Grade 10 Math Worksheet

NameDate

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

  1. Milo's table top is rectangle SUVW, with diagonals crossing at C. SC = (2x + 8) cm and UW = (6x − 12) cm. What is x?

  2. Noah's window is rectangle SUVW, with diagonals crossing at C. SC = (3x − 8) cm and UW = (2x + 12) cm. What is x?

    Use the picture in question 1.

  3. Pia's poster is rectangle SUVW, with diagonals crossing at C. SC = (4x − 15) cm and UW = (3x + 15) cm. What is x?

    Use the picture in question 1.

  4. Ren's rug is rectangle SUVW, with diagonals crossing at C. SC = (2x + 6) cm and UW = (6x − 10) cm. What is x?

    Use the picture in question 1.

  5. Tala's kite frame is rhombus SUVW. Diagonal SV splits the angle at S into ∠WSV = (4x − 10)° and ∠VSU = (2x + 16)°. What is x?

  6. Zee's tile is rhombus SUVW. Diagonal SV splits the angle at S into ∠WSV = (5x + 6)° and ∠VSU = (3x + 20)°. What is x?

    Use the picture in question 5.

  7. Ari's garden bed is rhombus SUVW. Diagonal SV splits the angle at S into ∠WSV = (5x − 10)° and ∠VSU = (3x + 22)°. What is x?

    Use the picture in question 5.

  8. Bo's quilt patch is rhombus SUVW. Diagonal SV splits the angle at S into ∠WSV = (6x − 5)° and ∠VSU = (2x + 11)°. What is x?

    Use the picture in question 5.

  9. Esme's tile is square SUVW, with diagonals crossing at C. m∠CSU = (2x − 15)°. What is x?

  10. Kira's napkin is square SUVW, with diagonals crossing at C. m∠CSU = (3x + 3)°. What is x?

    Use the picture in question 9.

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Rectangles, rhombuses and squares

Answer Key - Grade 10 Math Worksheet

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

  1. Milo's table top is rectangle SUVW, with diagonals crossing at C. SC = (2x + 8) cm and UW = (6x − 12) cm. What is x?

    14
  2. Noah's window is rectangle SUVW, with diagonals crossing at C. SC = (3x − 8) cm and UW = (2x + 12) cm. What is x?

    Use the picture in question 1.

    7
  3. Pia's poster is rectangle SUVW, with diagonals crossing at C. SC = (4x − 15) cm and UW = (3x + 15) cm. What is x?

    Use the picture in question 1.

    9
  4. Ren's rug is rectangle SUVW, with diagonals crossing at C. SC = (2x + 6) cm and UW = (6x − 10) cm. What is x?

    Use the picture in question 1.

    11
  5. Tala's kite frame is rhombus SUVW. Diagonal SV splits the angle at S into ∠WSV = (4x − 10)° and ∠VSU = (2x + 16)°. What is x?

    13
  6. Zee's tile is rhombus SUVW. Diagonal SV splits the angle at S into ∠WSV = (5x + 6)° and ∠VSU = (3x + 20)°. What is x?

    Use the picture in question 5.

    7
  7. Ari's garden bed is rhombus SUVW. Diagonal SV splits the angle at S into ∠WSV = (5x − 10)° and ∠VSU = (3x + 22)°. What is x?

    Use the picture in question 5.

    16
  8. Bo's quilt patch is rhombus SUVW. Diagonal SV splits the angle at S into ∠WSV = (6x − 5)° and ∠VSU = (2x + 11)°. What is x?

    Use the picture in question 5.

    4
  9. Esme's tile is square SUVW, with diagonals crossing at C. m∠CSU = (2x − 15)°. What is x?

    30
  10. Kira's napkin is square SUVW, with diagonals crossing at C. m∠CSU = (3x + 3)°. What is x?

    Use the picture in question 9.

    14