1. Unit 5: Quadrilaterals & Polygons
Lessons 6.2, 6.4, & 6.5: Classifying Quadrilaterals & Polygons, Properties of Quadrilaterals

2. Quadrilaterals
In groups of 3 or 4, name every type of quadrilateral and determine a definition for each type to include a definition for a general quadrilateral. Make sure that your definitions are biconditional. After, make a Venn diagram that shows how all the quadrilaterals are related.
(Note: There are 6 subtypes for quadrilaterals.)
Goals: To find the sum of the interior or exterior angles in a polygon. To identify the properties of various quadrilaterals.
Essential Understandings: The sum of the interior angles of a polygon is equal to (n-2)180˚. The sum of the exterior angles of a polygon is always 360˚. Quadrilaterals have certain properties that help to identify the type of quadrilateral and can be used to solve problems involving quadrilaterals.

3. Quadrilaterals A quadrilateral is a polygon with 4 sides.
A parallelogram is a quadrilateral with 2 pair of opposite parallel sides.
A rectangle is a parallelogram with 4 congruent interior angles.
A rhombus is a parallelogram with 4 congruent sides.
A square is a parallelogram with 4 congruent interior angles and 4 congruent sides.
A trapezoid is a quadrilateral with exactly one pair of opposite parallel sides. If the non-parallel sides are congruent, it is Isosceles.
A kite is a quadrilateral with two pair of consecutive congruent sides and no opposite congruent sides.
Goals: To find the sum of the interior or exterior angles in a polygon. To identify the properties of various quadrilaterals.
Essential Understandings: The sum of the interior angles of a polygon is equal to (n-2)180˚. The sum of the exterior angles of a polygon is always 360˚. Quadrilaterals have certain properties that help to identify the type of quadrilateral and can be used to solve problems involving quadrilaterals.

4. Quadrilaterals Quadrilaterals Parallelograms Trapezoids
Isosceles Trapezoid
Rectangles
Squares
Rhombuses
Kites
Goals: To find the sum of the interior or exterior angles in a polygon. To identify the properties of various quadrilaterals.
Essential Understandings: The sum of the interior angles of a polygon is equal to (n-2)180˚. The sum of the exterior angles of a polygon is always 360˚. Quadrilaterals have certain properties that help to identify the type of quadrilateral and can be used to solve problems involving quadrilaterals.

5. Goals: To find the sum of the interior or exterior angles in a polygon
Goals: To find the sum of the interior or exterior angles in a polygon. To identify the properties of various quadrilaterals.
Essential Understandings: The sum of the interior angles of a polygon is equal to (n-2)180˚. The sum of the exterior angles of a polygon is always 360˚. Quadrilaterals have certain properties that help to identify the type of quadrilateral and can be used to solve problems involving quadrilaterals.

6. One Pair of Parallel Sides Two Pair of Parallel sides
Diagonals Bisect Each other
Diagonals are Congruent
Diagonals are Perpendicular
Opposite sides are congruent
Opposite angles are congruent
Consecutive angles are supplementary
Diagonals bisect opposite angles
Parallelogram
Rectangle
Rhombus
Square
Trapezoid
Isosceles Trapezoid
Kite
Goals: To find the sum of the interior or exterior angles in a polygon. To identify the properties of various quadrilaterals.
Essential Understandings: The sum of the interior angles of a polygon is equal to (n-2)180˚. The sum of the exterior angles of a polygon is always 360˚. Quadrilaterals have certain properties that help to identify the type of quadrilateral and can be used to solve problems involving quadrilaterals.

7. Quadrilaterals
Goals: To find the sum of the interior or exterior angles in a polygon. To identify the properties of various quadrilaterals.
Essential Understandings: The sum of the interior angles of a polygon is equal to (n-2)180˚. The sum of the exterior angles of a polygon is always 360˚. Quadrilaterals have certain properties that help to identify the type of quadrilateral and can be used to solve problems involving quadrilaterals.

8. Quadrilaterals
Goals: To find the sum of the interior or exterior angles in a polygon. To identify the properties of various quadrilaterals.
Essential Understandings: The sum of the interior angles of a polygon is equal to (n-2)180˚. The sum of the exterior angles of a polygon is always 360˚. Quadrilaterals have certain properties that help to identify the type of quadrilateral and can be used to solve problems involving quadrilaterals.

9. Quadrilaterals
Goals: To find the sum of the interior or exterior angles in a polygon. To identify the properties of various quadrilaterals.
Essential Understandings: The sum of the interior angles of a polygon is equal to (n-2)180˚. The sum of the exterior angles of a polygon is always 360˚. Quadrilaterals have certain properties that help to identify the type of quadrilateral and can be used to solve problems involving quadrilaterals.

10. Quadrilaterals
Goals: To find the sum of the interior or exterior angles in a polygon. To identify the properties of various quadrilaterals.
Essential Understandings: The sum of the interior angles of a polygon is equal to (n-2)180˚. The sum of the exterior angles of a polygon is always 360˚. Quadrilaterals have certain properties that help to identify the type of quadrilateral and can be used to solve problems involving quadrilaterals.

11. Quadrilaterals
Goals: To find the sum of the interior or exterior angles in a polygon. To identify the properties of various quadrilaterals.
Essential Understandings: The sum of the interior angles of a polygon is equal to (n-2)180˚. The sum of the exterior angles of a polygon is always 360˚. Quadrilaterals have certain properties that help to identify the type of quadrilateral and can be used to solve problems involving quadrilaterals.

12. Quadrilaterals
Goals: To find the sum of the interior or exterior angles in a polygon. To identify the properties of various quadrilaterals.
Essential Understandings: The sum of the interior angles of a polygon is equal to (n-2)180˚. The sum of the exterior angles of a polygon is always 360˚. Quadrilaterals have certain properties that help to identify the type of quadrilateral and can be used to solve problems involving quadrilaterals.

13. Quadrilaterals
Goals: To find the sum of the interior or exterior angles in a polygon. To identify the properties of various quadrilaterals.
Essential Understandings: The sum of the interior angles of a polygon is equal to (n-2)180˚. The sum of the exterior angles of a polygon is always 360˚. Quadrilaterals have certain properties that help to identify the type of quadrilateral and can be used to solve problems involving quadrilaterals.

14. Quadrilaterals
Goals: To find the sum of the interior or exterior angles in a polygon. To identify the properties of various quadrilaterals.
Essential Understandings: The sum of the interior angles of a polygon is equal to (n-2)180˚. The sum of the exterior angles of a polygon is always 360˚. Quadrilaterals have certain properties that help to identify the type of quadrilateral and can be used to solve problems involving quadrilaterals.

15. Polygons
Homework:
Worksheet 6.2
Select Problems

16. Quadrilaterals
Goals: To find the sum of the interior or exterior angles in a polygon. To identify the properties of various quadrilaterals.
Essential Understandings: The sum of the interior angles of a polygon is equal to (n-2)180˚. The sum of the exterior angles of a polygon is always 360˚. Quadrilaterals have certain properties that help to identify the type of quadrilateral and can be used to solve problems involving quadrilaterals.

17. Quadrilaterals
Goals: To find the sum of the interior or exterior angles in a polygon. To identify the properties of various quadrilaterals.
Essential Understandings: The sum of the interior angles of a polygon is equal to (n-2)180˚. The sum of the exterior angles of a polygon is always 360˚. Quadrilaterals have certain properties that help to identify the type of quadrilateral and can be used to solve problems involving quadrilaterals.

18. Quadrilaterals
Goals: To find the sum of the interior or exterior angles in a polygon. To identify the properties of various quadrilaterals.
Essential Understandings: The sum of the interior angles of a polygon is equal to (n-2)180˚. The sum of the exterior angles of a polygon is always 360˚. Quadrilaterals have certain properties that help to identify the type of quadrilateral and can be used to solve problems involving quadrilaterals.

19. Quadrilaterals
Goals: To find the sum of the interior or exterior angles in a polygon. To identify the properties of various quadrilaterals.
Essential Understandings: The sum of the interior angles of a polygon is equal to (n-2)180˚. The sum of the exterior angles of a polygon is always 360˚. Quadrilaterals have certain properties that help to identify the type of quadrilateral and can be used to solve problems involving quadrilaterals.

20. Quadrilaterals
Goals: To find the sum of the interior or exterior angles in a polygon. To identify the properties of various quadrilaterals.
Essential Understandings: The sum of the interior angles of a polygon is equal to (n-2)180˚. The sum of the exterior angles of a polygon is always 360˚. Quadrilaterals have certain properties that help to identify the type of quadrilateral and can be used to solve problems involving quadrilaterals.

21. Quadrilaterals
Goals: To find the sum of the interior or exterior angles in a polygon. To identify the properties of various quadrilaterals.
Essential Understandings: The sum of the interior angles of a polygon is equal to (n-2)180˚. The sum of the exterior angles of a polygon is always 360˚. Quadrilaterals have certain properties that help to identify the type of quadrilateral and can be used to solve problems involving quadrilaterals.

22. Quadrilaterals
Goals: To find the sum of the interior or exterior angles in a polygon. To identify the properties of various quadrilaterals.
Essential Understandings: The sum of the interior angles of a polygon is equal to (n-2)180˚. The sum of the exterior angles of a polygon is always 360˚. Quadrilaterals have certain properties that help to identify the type of quadrilateral and can be used to solve problems involving quadrilaterals.

23. Quadrilaterals
Goals: To find the sum of the interior or exterior angles in a polygon. To identify the properties of various quadrilaterals.
Essential Understandings: The sum of the interior angles of a polygon is equal to (n-2)180˚. The sum of the exterior angles of a polygon is always 360˚. Quadrilaterals have certain properties that help to identify the type of quadrilateral and can be used to solve problems involving quadrilaterals.

24. Quadrilaterals
Goals: To find the sum of the interior or exterior angles in a polygon. To identify the properties of various quadrilaterals.
Essential Understandings: The sum of the interior angles of a polygon is equal to (n-2)180˚. The sum of the exterior angles of a polygon is always 360˚. Quadrilaterals have certain properties that help to identify the type of quadrilateral and can be used to solve problems involving quadrilaterals.

25. Quadrilaterals
Goals: To find the sum of the interior or exterior angles in a polygon. To identify the properties of various quadrilaterals.
Essential Understandings: The sum of the interior angles of a polygon is equal to (n-2)180˚. The sum of the exterior angles of a polygon is always 360˚. Quadrilaterals have certain properties that help to identify the type of quadrilateral and can be used to solve problems involving quadrilaterals.

26. Quadrilaterals
Goals: To find the sum of the interior or exterior angles in a polygon. To identify the properties of various quadrilaterals.
Essential Understandings: The sum of the interior angles of a polygon is equal to (n-2)180˚. The sum of the exterior angles of a polygon is always 360˚. Quadrilaterals have certain properties that help to identify the type of quadrilateral and can be used to solve problems involving quadrilaterals.

27. One Pair of Parallel Sides Two Pair of Parallel sides
Diagonals Bisect Each other
Diagonals are Congruent
Diagonals are Perpendicular
Opposite sides are congruent
Opposite angles are congruent
Consecutive angles are supplementary
Diagonals bisect opposite angles
Parallelogram
Rectangle
Rhombus
Square
Trapezoid
Isosceles Trapezoid
Kite
Goals: To find the sum of the interior or exterior angles in a polygon. To identify the properties of various quadrilaterals.
Essential Understandings: The sum of the interior angles of a polygon is equal to (n-2)180˚. The sum of the exterior angles of a polygon is always 360˚. Quadrilaterals have certain properties that help to identify the type of quadrilateral and can be used to solve problems involving quadrilaterals.

28. Polygons
Homework:
Worksheet 6.4, & 6.5
Select Problems