6.2.3 Properties of Kites and Trapezoids

Question 1

kite

Answer 1

a quadrilateral with exactly two pairs of congruent consecutive sides

Question 2

trapezoid

Answer 2

a quadrilateral with exactly one pair of parallel sides

Question 3

base of a trapezoid

Answer 3

each of the parallel sides of a trapezoid

Question 4

legs

Answer 4

the nonparallel sides of a trapezoid

Question 5

base angles of a trapezoid

Answer 5

two consecutive angles whose common side is a base

Question 6

isosceles trapezoid

Answer 6

if the legs of a trapezoid are congruent

Question 7

the midpoints of the legs

Answer 7

the midsegment of a trapezoid is the segment whose endpoints

Question 8

Theorem

Answer 8

If a quadrilateral is a kite, then its diagonals are perpendicular.

Question 9

Theorem

Answer 9

If a quadrilateral is a kite, then exactly one pair of opposite angles is congruent.

Question 10

Theorem

Answer 10

If a quadrilateral is an isosceles trapezoid, then each pair of base angles is congruent.

Question 11

Theorem

Answer 11

If a trapezoid has one pair of congruent base angles, then the trapezoid is isosceles.

Question 12

Theorem

Answer 12

A trapezoid is isosceles if and only if its diagonals are congruent.

Question 13

Theorem

Answer 13

The midsegment of a trapezoid is parallel to each base, and its length is one-half the sum of the lengths of the bases.