parallelograms

Question 1

What is a quadrilateral?

Answer 1

A shape with four sides

Question 2

How do we name a quadrilateral?

Answer 2

By using the four letters of it’s vertices

Question 3

What are the characteristics of a parallelogram?

Answer 3

1. opposite sides are parallel
2. opposite sides are equal in length

Question 4

What are the characteristics of a rectangle?

Answer 4

1. parallelogram where all four sides form right angles

Question 5

What are the characteristics of a rhombus?

Answer 5

1. parallelograms where all sides are congruent (equal)

Question 6

What are the characteristics of a square?

Answer 6

1. parallelogram where all sides are congruent (equal)
2. parallelograms where all sides form right angles

Question 7

What are the characteristics of a trapezoid?

Answer 7

1. exactly two parallel sides
2. sides do not have to be equal

Question 8

List the properties of parallelograms?

Answer 8

1. congruent opposite sides
2. congruent opposite angles
3. consecutive supplementary angles
4. diagonals bisect each other
5. each diagonal divides parallelogram into 2 congruent triangles

Question 9

List the theorems to prove a parallelogram?

Answer 9

1. both pairs of opposite sides are congruent
2. both pairs of opposite angles are congruent
3. an angle is supplementary to both of it’s consecutive angles
4. a quadrilateral has diagonals that bisect each other
5. a quadrilateral has one pair of sides that is both congruent/parallel