U5C4: Trapezoids and Kites

Question 1

trapezoid

Answer 1

one pair of sides is parallel

Question 2

isosceles trapezoid

Answer 2

the two legs are congruent

Question 3

kite

Answer 3

two pairs of adjacent, congruent sides

Question 4

adjacent angles

Answer 4

next to each other but don’t touch the same base

Question 5

midsegment

Answer 5

a segment joining the midpoints of the legs

Question 6

what are the properties of all trapezoids?

Answer 6

1. adjacent angles not touching the same base are supplementary
2. the midsegment is parallel to the bases and its length is half the sum of the lengths of the bases, or the average of the bases

Question 7

what are the properties of isosceles trapezoids?

Answer 7

1. both pairs of base angles are congruent

2. diagonals are congruent

Question 8

what are the properties of kites?

Answer 8

1. the angles between the non-congruent sides are congruent
2. the diagonals are perpendicular
3. the diagonal between the congruent angles is bisected by the other diagonal