6. Polygons and Quadrilaterals

Question 1

The sum of the measures of the interior angles of an n-gon is (n - 2)180.

Answer 1

polygon angle-sum theorem

Question 2

a polygon with all sides congruent

Answer 2

equilateral polygon

Question 3

a polygon with all angles congruent

Answer 3

equiangular polygon

Question 4

a polygon that is both equilateral and equiangular

Answer 4

regular polygon

Question 5

The measure of each angle of a regular n-gon is (n - 2)180 / n

Answer 5

corollary to the polygon angle-sum theorem

Question 6

The sum of the measures of the exterior angles of a polygon, one at each vertex, is 360

Answer 6

polygon exterior angle-sum theorem

Question 7

a quadrilateral with both pairs of opposite sides parallel

Answer 7

parallelogram

Question 8

angles of a polygon that share a side

Answer 8

consecutive angles

Question 9

a parallelogram with four congruent sides

Answer 9

rhombus

Question 10

a parallelogram with four right angles

Answer 10

rectangle

Question 11

a parallelogram with four congruent sides and four right angles

Answer 11

square

Question 12

quadrilateral with exactly one pair of parallel sides

Answer 12

trapezoid

Question 13

a trapezoid with legs that are congruent

Answer 13

isosceles trapezoid

Question 14

the segment that joins the midpoints of its legs

Answer 14

midsegment of a trapezoid

Question 15

If a quadrilateral is a trapezoid, then

1. the midsegment is parallel to the bases, and
2. the length of the midsegment is half the sum of the lengths of the bases

Answer 15

trapezoid midsegment theorem

Question 16

a quadrilateral with two pairs of consecutive sides congruent and no opposite sides congruent

Answer 16

kite

Question 17

using coordinate geometry and algebra to prove theorems

Answer 17

coordinate proof