Chapter 6.6: Trapezoids

Question 1

Trapezoid

Answer 1

is a quadrilateral with exactly one pair of opposite sides that are parallel.

Question 2

Isosceles

Answer 2

a trapezoid is isosceles if the legs are congruent.

Question 3

Base Angles

Answer 3

a trapezoid has two pairs of base angles. Angle A and B form one pair, and angle C and D form another pair.

Question 4

Thm. 6.17 - Trapezoid Base Angles Thm.

Answer 4

if a trapezoid is isosceles, then each pair of base angles is congruent.

Question 5

Thm. 6.18 - Trapezoid Diagonals Thm.

Answer 5

if a trapezoid is isosceles, then its diagonals are congruent.

Question 6

Thm. 6.19

Answer 6

if a trapezoid has one pair of congruent base angles, then it is an isosceles trapezoid.

Question 7

Thm. 6.20

Answer 7

if a trapezoid has congruent diagonals, then it is an isosceles trapezoid.

Question 8

Midsegment

Answer 8

the midsegment of a trapezoid is the segment that connects the midpoints of its legs.

Question 9

Thm. 6.21 - Midsegment Thm. for Trapezoids

Answer 9

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