Chapter 8: Quadrilaterals

Question 0

Theorem 30: The sum of the measures of the angles of a quadrilateral is

Answer 0

360

Question 1

Definition 42: A quadrilateral is

Answer 1

a polygon that has four sides

Question 2

Theorem 31: The length of a line segment drawn from any vertex of an equilateral triangle to a point on the opposite side is

Answer 2

less than the length of any side of the triangle

Question 3

Definition 43: A trapezoid is_________________. The parallel sides are called_________ and the non parallel sides are called _______.

Answer 3

is a quadrilateral which has exactly one pair of parallel sides; bases; legs

Question 4

Definition 44: An isosceles trapezoid is

Answer 4

a trapezoid that has both legs congruent.

Question 5

Theorem 32: The lower (and upper) base angles of an isosceles trapezoid are

Answer 5

congruent

Question 6

Theorem 33: The diagonals of an isosceles trapezoid are

Answer 6

congruent

Question 7

Definition 45: A parallelogram is

Answer 7

a quadrilateral that has both pairs of opposite sides parallel

Question 8

Theorem 34: If a quadrilateral is a parallelogram, then

Answer 8

pairs of consecutive angles are supplementary

Question 9

Theorem 35: If a quadrilateral is a parallelogram, then

Answer 9

both pairs of opposite angles are congruent

Question 10

Theorem 36: If a quadrilateral is a parallelogram, then

Answer 10

both pairs of opposite sides are congruent

Question 11

Theorem 37: If a quadrilateral is a parallelogram, then

Answer 11

the diagonals bisect each other

Question 12

Theorem 38: If both pairs of opposite angles are congruent, then

Answer 12

a quadrilateral is a parallelogram

Question 13

Theorem 39: If both pairs of opposite sides are congruent, then

Answer 13

a quadrilateral is a parallelogram

Question 14

Theorem 40: If one pair of opposite sides is both parallel and congruent (equal), then

Answer 14

a quadrilateral is a parallelogram

Question 15

Theorem 41: If the diagonals bisect each other, then

Answer 15

a quadrilateral is a parallelogram

Question 16

Theorem 42: The line segment joining the midpoints of two sides of a triangle is

Answer 16

parallel to the third side and is one-half its length

Question 17

Definition 46: A rectangle is

Answer 17

a parallelogram with four right angles

Question 18

Definition 47: A rhombus is

Answer 18

a parallelogram with four congruent sides

Question 19

Definition 48: A square is

Answer 19

a parallelogram with four congruent sides and four congruent (right) angles

Question 20

Theorem 43: The diagonals of a rectangle are

Answer 20

congruent

Question 21

Theorem 44: The diagonals of a rhombus are

Answer 21

perpendicular to each other

Question 22

Theorem 45: The diagonals of a rhombus bisect

Answer 22

the angles at the vertices which they join