Unit 5-Quadrilaterals

Question 1

Define ‘Quadrilateral’

Answer 1

A four-sided polygon

Question 2

Define ‘Parallelogram’

Answer 2

A quadrilateral in which both pairs of opposite sides are parallel

Question 3

Define ‘Rectangle’

Answer 3

A parallelogram in which at least one angle is a right angle

Question 4

Define ‘Rhombus’

Answer 4

A parallelogram in which at least two consecutive sides are congruent

Question 5

Define ‘Square’

Answer 5

A parallelogram which is both a rectangle and a rhombus

Question 6

Define ‘Kite’

Answer 6

A quadrilateral in which two disjoint pairs of consecutive sides are congruent

Question 7

Define ‘Trapezoid’

Answer 7

A quadrilateral with exactly one pair of parallel sides. The parallel sides are called bases.

Question 8

Define ‘Isosceles Trapezoid’

Answer 8

A trapezoid in which the non-parallel sides (legs) are congruent

Question 9

List the properties of a Quadrilateral

Answer 9

~All properties of a polygon

~Has 4 sides

Question 10

List the properties of a Parallelogram

Answer 10

~2 pairs of opposite sides are parallel
~2 pairs of opposite angles are congruent
~2 pairs of opposite sides are congruent
~Diagonals bisect each other
~Any 2 consecutive angles are supplements
~Diagonals form 2 pairs of congruent triangles

Question 11

List the properties of a Rectangle

Answer 11

~All properties of the parallelogram
~All angles are right
~Diagonals are congruent

Question 12

List the properties of a Kite

Answer 12

~2 pairs of disjoint sides are congruent
~Diagonals are perpendicular
~One diagonal bisects the other
~One diagonal bisects one pair of opposite angles
~One pair of opposite angles is congruent

Question 13

List the properties of a Rhombus

Answer 13

~All properties of the parallelogram
~All properties of the kite in full
~All 4 sides are congruent
~Diagonals bisect the opposite angles
~Diagonals form 4 congruent right triangles
~Diagonals are perpendicular bisectors of each other

Question 14

List the properties of a Square

Answer 14

~All properties of the rectangle
~All properties of the rhombus
~Diagonals form 4 congruent right isosceles triangles

Question 15

List the properties of a Trapezoid

Answer 15

~Bases are parallel by definition

Question 16

List the properties of an Isosceles Trapezoid

Answer 16

~Bases are parallel by definition
~Legs are congruent by definition
~Lower base angles are congruent
~Upper base angles are congruent
~Diagonals are congruent
~Lower base angles are supplementary to upper base angles