Trapezoids and kites
Grade 10 Math Worksheet - Building Confidence

Circle the best answer, or write your answer on the line.
Ren's garden bed is trapezoid CDFG with bases CD = 22 in. and GF = 14 in. HU joins the middles of the legs. How long is HU, in inches?
Zee's lunchbox lid sketch is trapezoid CDFG with bases CD = 9.5 in. and GF = 6.5 in. HU joins the middles of the legs. How long is HU, in inches?
Sketch, not to scale: trapezoid CDFG (C bottom left, D bottom right, F top right, G top left), bases CD ∥ GF, midsegment HU drawn from the middle of CG to the middle of DF; CD = 9.5 in., GF = 6.5 in. Sketch, not to scale: trapezoid CDFG (C bottom left, D bottom right, F top right, G top left), bases CD ∥ GF, midsegment HU drawn from the middle of CG to the middle of DF; CD = 9.5 in., GF = 6.5 in. C D F G H U 9.5 in. 6.5 in. Not to scale Ari's tent wall is trapezoid CDFG with bases CD = 40 in. and GF = 26 in. HU joins the middles of the legs. How long is HU, in inches?
Sketch, not to scale: trapezoid CDFG (C bottom left, D bottom right, F top right, G top left), bases CD ∥ GF, midsegment HU drawn from the middle of CG to the middle of DF; CD = 40 in., GF = 26 in. Sketch, not to scale: trapezoid CDFG (C bottom left, D bottom right, F top right, G top left), bases CD ∥ GF, midsegment HU drawn from the middle of CG to the middle of DF; CD = 40 in., GF = 26 in. C D F G H U 40 in. 26 in. Not to scale Bo's ramp drawing is trapezoid CDFG with CD ∥ GF. It is not isosceles. m∠C = 64° and m∠F = 105°. What is m∠D, in degrees?
Sketch, not to scale: trapezoid CDFG (C bottom left, D bottom right, F top right, G top left), bases CD ∥ GF; legs CG and DF have different lengths; 64° at C and 105° at F. Sketch, not to scale: trapezoid CDFG (C bottom left, D bottom right, F top right, G top left), bases CD ∥ GF; legs CG and DF have different lengths; 64° at C and 105° at F. C D F G 64° 105° Not to scale Esme's lamp shade sketch is trapezoid CDFG with CD ∥ GF. It is not isosceles. m∠C = 72° and m∠F = 98°. What is m∠D, in degrees?
Sketch, not to scale: trapezoid CDFG (C bottom left, D bottom right, F top right, G top left), bases CD ∥ GF; legs CG and DF have different lengths; 72° at C and 98° at F. Sketch, not to scale: trapezoid CDFG (C bottom left, D bottom right, F top right, G top left), bases CD ∥ GF; legs CG and DF have different lengths; 72° at C and 98° at F. C D F G 72° 98° Not to scale Jun's bucket drawing is trapezoid CDFG with CD ∥ GF. It is not isosceles. m∠C = 58° and m∠F = 117°. What is m∠D, in degrees?
Sketch, not to scale: trapezoid CDFG (C bottom left, D bottom right, F top right, G top left), bases CD ∥ GF; legs CG and DF have different lengths; 58° at C and 117° at F. Sketch, not to scale: trapezoid CDFG (C bottom left, D bottom right, F top right, G top left), bases CD ∥ GF; legs CG and DF have different lengths; 58° at C and 117° at F. C D F G 58° 117° Not to scale Kira's flower pot sketch is trapezoid CDFG with CD ∥ GF. It is not isosceles. m∠C = 81° and m∠F = 93°. What is m∠D, in degrees?
Sketch, not to scale: trapezoid CDFG (C bottom left, D bottom right, F top right, G top left), bases CD ∥ GF; legs CG and DF have different lengths; 81° at C and 93° at F. Sketch, not to scale: trapezoid CDFG (C bottom left, D bottom right, F top right, G top left), bases CD ∥ GF; legs CG and DF have different lengths; 81° at C and 93° at F. C D F G 81° 93° Not to scale Luz's kite is kite QSVW. m∠Q = 70° and m∠V = 50°, and the angles at S and W are equal. What is m∠S, in degrees?
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; 70° at Q, 50° at V, ∠S and ∠W marked with the same arc. 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; 70° at Q, 50° at V, ∠S and ∠W marked with the same arc. Q S V W O 70° 50° Not to scale Milo's kite is kite QSVW. m∠Q = 84° and m∠V = 40°, and the angles at S and W are equal. What is m∠S, in degrees?
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; 84° at Q, 40° at V, ∠S and ∠W marked with the same arc. 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; 84° at Q, 40° at V, ∠S and ∠W marked with the same arc. Q S V W O 84° 40° Not to scale Noah's paper kite is kite QSVW. m∠Q = 60° and m∠V = 44°, and the angles at S and W are equal. What is m∠S, in degrees?
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; 60° at Q, 44° at V, ∠S and ∠W marked with the same arc. 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; 60° at Q, 44° at V, ∠S and ∠W marked with the same arc. Q S V W O 60° 44° Not to scale