Rectangles, rhombuses and squares

Answer Key - Grade 10 Math Worksheet

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

2. 1.

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

   7
3. 2.

   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. 3.

   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
6. 4.

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

   7
7. 5.

   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 4.

   16
8. 6.

   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 4.

   4
10. 7.

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

    30
11. 8.

    Jun's window is square SUVW, with diagonals crossing at C. m∠CSU = (3x − 12)°. What is x?

    Use the picture in question 7.

    19
12. 9.

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

    Use the picture in question 7.

    14
13. 10.

    Luz's game board is square SUVW, with diagonals crossing at C. m∠CSU = (5x − 10)°. What is x?

    Use the picture in question 7.

    11