Rectangles, rhombuses and squares

Answer Key - Grade 10 Math Worksheet - Challenge Me

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

2. 1.

   Milo's kite frame is rhombus SUVW, with diagonals crossing at C. m∠CSU = (2x − 3)° and m∠CUS = (2x − 15)°. What is m∠SUV, in degrees?

   78
3. 2.

   Noah's tile is rhombus SUVW, with diagonals crossing at C. m∠CSU = (4x + 10)° and m∠CUS = (2x − 10)°. What is m∠SUV, in degrees?

   Use the picture in question 1.

   40
4. 3.

   Pia's garden bed is rhombus SUVW, with diagonals crossing at C. m∠CSU = (6x − 12)° and m∠CUS = (2x + 22)°. What is m∠SUV, in degrees?

   Use the picture in question 1.

   84
6. 4.

   Tala's table top is rectangle SUVW, with diagonals crossing at C. SC = (2x − 4) cm and CU = (x + 8) cm. How long is diagonal SV, in cm?

   40
7. 5.

   Zee's window is rectangle SUVW, with diagonals crossing at C. SC = (3x − 7) cm and CU = (x + 9) cm. How long is diagonal SV, in cm?

   Use the picture in question 4.

   34
8. 6.

   Ari's poster is rectangle SUVW, with diagonals crossing at C. SC = (4x − 3) cm and CU = (3x + 3) cm. How long is diagonal SV, in cm?

   Use the picture in question 4.

   42
10. 7.

    Esme's photo frame is rectangle SUVW, with diagonals crossing at C. m∠CSU = (2x − 2)° and m∠CUS = (x + 12)°. What is m∠SCU, in degrees?

    128
11. 8.

    Jun's window is rectangle SUVW, with diagonals crossing at C. m∠CSU = (3x − 3)° and m∠CUS = (2x + 12)°. What is m∠SCU, in degrees?

    Use the picture in question 7.

    96
12. 9.

    Kira's table top is rectangle SUVW, with diagonals crossing at C. m∠CSU = (4x − 7)° and m∠CUS = (3x + 5)°. What is m∠SCU, in degrees?

    Use the picture in question 7.

    98
13. 10.

    Luz's door is rectangle SUVW, with diagonals crossing at C. m∠CSU = (5x − 4)° and m∠CUS = (3x + 24)°. What is m∠SCU, in degrees?

    Use the picture in question 7.

    48