1. Chapter 6
Quadrilaterals

2. 6-1 Objectives
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3. Polygon Angle-Sum Theorem
The sum of the measures of the interior angles of an n-gon is ____________________, where n is the _______________________
What is the sum of the interior angle measures of a hexagon?
What is the sum of the interior angle measures of a 17-gon?

4. Corollary to the Polygon Angle-Sum Theorem
Regular Polygon: a polygon that is both ___________________ and _________________
Corollary to the Polygon Angle-Sum Theorem: the measure of each interior angle of a regular n-gon is __________________________
What is the measure of an interior angle of a regular octagon?

5. Find the value of the variable

6. Practice: p. 356 #7, 8, 15-19
Complete on separate sheet of paper to turn in!

7. 6-2 Objectives
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8. Parallelograms
A parallelogram is a _____________________ with both pairs of opposite sides __________________.
Opposite sides: do not share a _______________
Opposite angles: do not share a ______________
Consecutive angles: angles of a polygon that share a _____________

9. Properties of Parallelograms
If a quadrilateral is a parallelogram, then its opposite sides are ___________________.
If a quadrilateral is a parallelogram, then its consecutive angles are ___________________.
If a quadrilateral is a parallelogram, then its opposite angles are ___________________.
If quadrilateral is a parallelogram, then its diagonals _________________________________.

10. Using properties of parallelograms
Find the length of:
TU=
VT=

11. Using properties of parallelograms
Find the value of x.
Find the value of y.
Find mEDG.
Find EH.

12. Practice: p. 364 #14, 15, 25-27, 29, 30, 38-40
Complete on separate sheet of paper to turn in!

13. 6-4 Objectives
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14. Definition of rhombuses, rectangles, and squares
Rhombus: a parallelogram with four ________________________.
Rectangle: a parallelogram with four ________________________.
Square: a parallelogram with four __________________________ and four _____________________________.

15. Properties of a rhombus
If a parallelogram is a rhombus, then its diagonals are __________________.
If a parallelogram is a rhombus, then each diagonal ______________ a pair of opposite angles.

16. Properties of a rectangle
If a parallelogram is a rectangle, then its diagonals are ____________.

18. Practice: p. 380 #15-19, 24-27, 42-44, 45
Complete on separate sheet of paper to turn in!

19. 6-6 Objective
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20. Definitions and properties of trapezoids and kites
If a quadrilateral is a trapezoid, then it has exactly one pair of __________________________.
If a quadrilateral is an isosceles trapezoid, then each pair of base angles is ____________________.
If a quadrilateral is an isosceles trapezoid, then its diagonals are ____________________.
If a quadrilateral is a kite, then it has 2 pairs of consecutive sides ___________________ and no opposite sides congruent.
If a quadrilateral is a kite, then its diagonals are _______________________.

21. Find the values of x and y.

22. Find the values of the missing angles of each kite.

23. Practice: p. 395 #28-30, 34-36
Complete on separate sheet of paper to turn in!