Trapezoids and kites

Answer Key - Grade 10 Math Worksheet

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

1. 1.

   Ren's garden bed is trapezoid CDFG with bases CD ∥ GF. Base CD = 22 in., and midsegment HU = 17 in. How long is GF, in inches?

   12
2. 2.

   Tala's shelf side is trapezoid CDFG with bases CD ∥ GF. Base CD = 31 in., and midsegment HU = 25 in. How long is GF, in inches?

   19
4. 3.

   Ari's lamp shade sketch is isosceles trapezoid CDFG with bases CD ∥ GF. m∠C = (4x − 12)° and m∠D = (2x + 24)°. What is x?

   18
5. 4.

   Bo's bucket drawing is isosceles trapezoid CDFG with bases CD ∥ GF. m∠C = (5x − 8)° and m∠D = (3x + 16)°. What is x?

   Use the picture in question 3.

   12
6. 5.

   Esme's ramp drawing is isosceles trapezoid CDFG with bases CD ∥ GF. m∠C = (5x + 2)° and m∠D = (3x + 24)°. What is x?

   Use the picture in question 3.

   11
8. 6.

   Jun's flower pot sketch is trapezoid CDFG with CD ∥ GF, and it is not isosceles. m∠C = 68°, m∠D = (3x − 7)° and m∠F = (5x + 11)°. What is x?

   22
9. 7.

   Kira's ramp drawing is trapezoid CDFG with CD ∥ GF, and it is not isosceles. m∠C = 74°, m∠D = (2x + 25)° and m∠F = (2x − 5)°. What is x?

   Use the picture in question 6.

   40
10. 8.

    Luz's lamp shade sketch is trapezoid CDFG with CD ∥ GF, and it is not isosceles. m∠C = 63°, m∠D = (4x + 2)° and m∠F = (3x + 10)°. What is x?

    Use the picture in question 6.

    24
12. 9.

    Milo's kite is kite QSVW, with diagonals crossing at O. SO = (4x − 8) cm, OW = (2x + 6) cm and OV = (x + 19) cm. What is x?

    7
13. 10.

    Noah's paper kite is kite QSVW, with diagonals crossing at O. SO = (5x + 3) cm, OW = (3x + 11) cm and OV = (2x + 21) cm. What is x?

    Use the picture in question 9.

    4