chapter 6 vocabulary

Question 1

Diagonal

Answer 1

a segment that connects any two nonconsecutive vertices

Question 2

Parallelogram

Answer 2

a quadrilateral with both pairs of opposite sides parallel

Question 3

Rectangle

Answer 3

a parallelogram with four right angles

Question 4

Rhombus

Answer 4

a parallelogram with all four sides congruent

Question 5

Trapezoid

Answer 5

a quadrilateral with exactly one pair of parallel sides

Question 6

Bases

Answer 6

parallel sides

Question 7

Legs

Answer 7

non parallel sides

Question 8

Base angles

Answer 8

base and legs formed

Question 9

Isosceles trapezoid

Answer 9

the legs of a trapezoid are congruent

Question 10

Midsegment of a trapezoid

Answer 10

the segment that connects the midpoints of the legs of the trapezoid

Question 11

Kite

Answer 11

a quadrilateral with exactly two pairs of consecutive congruent sides

Question 12

Key concepts

Answer 12

The sum of the measures of the interior angles of a polygon is given by the formula S=(n-2)180.
The sum of the measures of the exterior angles of a convex polygon is 360.
Opposite sides are congruent and parallel.
Opposite angles are congruent.
Consecutive angles are supplementary.
If a parallelogram has one right angle, it has four right angles.
Diagonals bisect each other.
A rectangle has all the properties of a parallelogram. Diagonals are congruent and bisect each other. All four angles are right angles.
A rhombus has all the properties of a parallelogram. All sides are congruent. Diagonals are perpendicular. Each diagonal bisects a pair of opposite angles.
A square has all the properties of a parallelogram, a rectangle and a rhombus.
In an isosceles trapezoid, both pairs of base angles are congruent and the diagonals are congruent.