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Trapezoids and kites — Homework

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Trapezoids and kites — Homework

Apply the trapezoid midsegment formula, isosceles trapezoid properties, and kite properties as needed.

  1. 1.A trapezoid has bases of length 14 and 22. Find the length of its midsegment.
  2. 2.A trapezoid has a midsegment of length 19, and one base is 13. Find the other base.
  3. 3.An isosceles trapezoid has a base angle of 105 degrees. Find the OTHER base angle along the same base, and the base angle connected to it by a leg.
  4. 4.In kite PQRS, diagonal PR joins the two vertices where the congruent side-pairs meet, so PR bisects the other diagonal, QS. If QS = 22, find the length of each piece.
  5. 5.A kite has one pair of opposite angles measuring 40 degrees and 40 degrees, and the other pair measuring x and y (not necessarily equal). Explain which pair is guaranteed congruent and why.
🌲 Homeschool of the FutureTenth Grade · Math · week 29 homework