Trapezoids and kites
Grade 10 Math Worksheet - Challenge Me

Circle the best answer, or write your answer on the line.
Ren's garden bed is trapezoid CDFG. Bases CD = (2x + 10) in. and GF = (4x − 4) in.; midsegment HU = 18 in. How long is CD, in inches?
Tala's shelf side is trapezoid CDFG. Bases CD = (3x + 8) in. and GF = (x + 2) in.; midsegment HU = 23 in. How long is CD, in inches?
Use the picture in question 1.
Zee's tent wall is trapezoid CDFG. Bases CD = (2x + 20) in. and GF = (2x + 6) in.; midsegment HU = 27 in. How long is CD, in inches?
Use the picture in question 1.
Ari's lunchbox lid sketch is trapezoid CDFG. Bases CD = (5x − 3) in. and GF = (x + 9) in.; midsegment HU = 27 in. How long is CD, in inches?
Use the picture in question 1.
Sketch, not to scale: isosceles trapezoid CDFG (C bottom left, D bottom right, F top right, G top left), bases CD ∥ GF, legs CG = DF marked with one tick each. Sketch, not to scale: isosceles trapezoid CDFG (C bottom left, D bottom right, F top right, G top left), bases CD ∥ GF, legs CG = DF marked with one tick each. C D F G Not to scale Bo's lamp shade sketch is isosceles trapezoid CDFG with bases CD ∥ GF. m∠C = (3x − 9)° and m∠D = (2x + 16)°. What is m∠F, in degrees?
Esme's bucket drawing is isosceles trapezoid CDFG with bases CD ∥ GF. m∠C = (4x + 2)° and m∠D = (3x + 20)°. What is m∠F, in degrees?
Use the picture in question 5.
Jun's flower pot sketch is isosceles trapezoid CDFG with bases CD ∥ GF. m∠C = (5x + 9)° and m∠D = (4x + 20)°. What is m∠F, in degrees?
Use the picture in question 5.
Kira's ramp drawing is isosceles trapezoid CDFG with bases CD ∥ GF. m∠C = (6x − 2)° and m∠D = (5x + 10)°. What is m∠F, in degrees?
Use the picture in question 5.
Sketch, not to scale: kite QSVW (Q top, S left, V bottom, W right), QS = QW with one tick each and VS = VW with two ticks each, diagonals QV and SW crossing at O; a right-angle mark at O; triangle QOS shaded. Sketch, not to scale: kite QSVW (Q top, S left, V bottom, W right), QS = QW with one tick each and VS = VW with two ticks each, diagonals QV and SW crossing at O; a right-angle mark at O; triangle QOS shaded. Q S V W O Not to scale. Milo's paper kite is kite QSVW, with diagonals crossing at O. m∠OQS = (2x + 10)° and m∠OSQ = (3x + 10)°. What is m∠SQW, in degrees?
Pia's kite is kite QSVW, with diagonals crossing at O. m∠OQS = (3x + 11)° and m∠OSQ = (5x + 15)°. What is m∠SQW, in degrees?
Use the picture in question 9.