1. Warmup 6-1
On a half piece of paper find the midpoint, distance, and slope for each.
(2, 5), (6, 17)
(-2, 3), (4, 6)
(7, -3), (4, 10)

2. Skills…answers Midpoint (4, 11) Midpoint (1, 4.5) Midpoint (5.5, 3.5)
Distance = 12.6
Slope = 3
Midpoint (1, 4.5)
Distance = 6.7
Slope = ½
Midpoint (5.5, 3.5)
Distance = 13.3
Slope = -4.3 (-13/3)
We will have a 5 point
quiz every day for
this chapter on this
material!

3. Lesson 6-1: Quadrilaterals
Vocab
Quadrilateral
Opposite
Consecutive

4. Quadrilateral → any 4-sided figure Opposite
Opposite sides → do not touch
Opposite angles → diagonal to each other
Consecutive (Adjacent)
Consecutive sides → touch
Consecutive angles → share a side

5. Name opposite and consecutive sides and angles.B 2 A 1 3 D 4 C
Opposite sides:
AB & CD; BC & AD
Consecutive sides:
AB & BC; AB & AD; CD & BC; CD & AD
Opposite angles:
Angles 1 & 4; and 2 & 3
Consecutive angles:
Angles 1 & 2; 1 & 3; 2 & 4; 3 & 4

6. Quadrilateral Parallelogram Kite Trapezoid Rectangle Rhombus Square
Types of Quadrilaterals
Quadrilateral
2 pairs of parallel, opposite sides
No parallel sides
1 pair of parallel, opposite sides
Parallelogram
Kite
Trapezoid
Rectangle
Rhombus
Each shape will have any properties of shape above it!
Square

7. Quadrilateral Relationships
Quadrilaterals
Parallelograms
Trapezoids
Rectangles
Rhombi
Squares
Kites

8. 6-1 Problems Determine the figure by looks
Determine the figure by calculations
Find length of opposite sides → distance formula
Find slope of opposite sides → slope formula
Find the missing value
Set opposite sides equal → solve
Consecutive angles add to 1800 → solve

9. Midpoint, Distance, Slope Quiz 1
On a piece of paper find the midpoint, distance, and slope for each.
(-1, 3), (0, 5)
(4, -2), (8, -5)
(3, 5), (6, 14)

10. Quiz 1…answers Midpoint (-0.5, 4) Midpoint (6, -3.5)
Distance = 2.2
Slope = 2
Midpoint (6, -3.5)
Distance = 5
Slope = -3/4 or -0.75
Midpoint (4.5, 9.5)
Distance = 9.5
Slope = 3

11. Properties of Quadrilaterals
Review handout

12. Foldable
1. Take out a piece of notebook paper fold the right edge over to the pink line.

13. Foldable The fold crease
2. Now, divide the right hand section into 4 sections by drawing 3 evenly spaced lines.
3. Use scissors to cut along your drawn line, but ONLY to the crease!

14. Foldable ParallelOgrams The fold crease
4. Write PARALLELOGRAMS down the left hand side
ParallelOgrams

15. Foldable Parallelogram Parallelograms The fold crease
5. Fold over the top cut section and write PARALLELOGRAM on the outside.
Parallelogram
6. Reopen the fold.
Parallelograms

16. Foldable Parallelograms
7. On the left hand section, draw a parallelogram.
1. Opposite sides parallel
2. Opposite sides congruent
3. Diagonals bisect each other
4. Opposite angles are congruent
5. Consecutive angles are supplementary
8. On the right hand side, list all of the properties of a parallelogram.
Parallelograms
9. Place in your notebook and save for tomorrow.

17. Foldable Parallelograms RECTANGLE
* Fold over the second cut section and write RECTANGLE on the outside.
1. Opposite sides parallel
2. Opposite sides congruent
3. Diagonals bisect each other
4. Opposite angles are congruent
5. Consecutive angles are supplementary
* Reopen the fold.
RECTANGLE
Parallelograms

18. Foldable Parallelograms * On the left hand section, draw a rectangle.
1. Opposite sides parallel
2. Opposite sides congruent
3. Diagonals bisect each other
4. Opposite angles are congruent
5. Consecutive angles are supplementary
* On the right hand side, list all of the properties of a rectangle.
1. Properties of a parallelogram.
2. Has a right angle
3. Diagonals are congruent.
Parallelograms

19. Foldable Parallelograms RHOMBUS
* Fold over the third cut section and write RHOMBUS on the outside.
1. Opposite sides parallel
2. Opposite sides congruent
3. Diagonals bisect each other
4. Opposite angles are congruent
5. Consecutive angles are supplementary
1. Properties of a parallelogram.
2. Has a right angle
3. Diagonals are congruent.
* Reopen the fold.
Parallelograms
RHOMBUS

20. Foldable Parallelogram * On the left hand section, draw a rhombus.
1. Opposite sides parallel
2. Opposite sides congruent
3. Diagonals bisect each other
4. Opposite angles are congruent
5. Consecutive angles are supplementary
* On the right hand side, list all of the properties of a rhombus.
1. Properties of a parallelogram.
2. Has a right angle
3. Diagonals are congruent.
Parallelogram
1. Properties of a parallelogram
2. Has 4 Congruent sides
3. Diagonals are perpendicular.
4. Diagonals bisect opposite angles

21. Foldable Parallelograms SQUARE
* Fold over the third cut section and write SQUARE on the outside.
1. Opposite sides parallel
2. Opposite sides congruent
3. Diagonals bisect each other
4. Opposite angles are congruent
5. Consecutive angles are supplementary
1. Properties of a parallelogram.
2. Has a right angle
3. Diagonals are congruent.
* Reopen the fold.
Parallelograms
1. Properties of a parallelogram
2. Has 4 Congruent sides
3. Diagonals are perpendicular.
4. Diagonals bisect opposite angles
SQUARE

22. Foldable Parallelograms * On the left hand section, draw a square.
1. Opposite sides parallel
2. Opposite sides congruent
3. Diagonals bisect each other
4. Opposite angles are congruent
5. Consecutive angles are supplementary
* On the right hand side, list all of the properties of a square.
1. Properties of a parallelogram.
2. Has a right angle
3. Diagonals are congruent.
Parallelograms
1. Properties of a parallelogram
2. Has 4 Congruent sides
3. Diagonals are perpendicular.
4. Diagonals bisect opposite angles
1. Is a parallelogram, rectangle, and rhombus
2. 4 congruent sides and 4 congruent (right) angles

23. Lesson 6-2/6-3: Parallelograms (Put on back of foldable)
Proving a parallelogram
2 pairs of opposite sides congruent
1 pair of opposite sides congruent & parallel
Diagonals bisect each other
2 pairs of opposite angles congruent

24. Using Alternate Interior Angles
If you have a parallelogram, then any diagonal is a _______________
______________________ are created by the diagonal like angles ____ and ____
THESE ANGLES _______________________
Remember this diagram?

25. Using Alternate Interior Angles
If you have a parallelogram, then any diagonal is a
are created by the diagonal like angles and
THESE ANGLES
transversal
Remember this diagram? 1 2
Alternate interior angles 1 2
MUST BE CONGRUENT

26. 6-2/6-3 Problems Apply properties of parallelograms
Set opposite sides equal to each other
Set parts of diagonal equal to each other
Set opposite angles equal to each other
Consecutive angles add to 1800

27. Midpoint, Distance, Slope Quiz 2
On a piece of paper find the midpoint, distance, and slope for each.
(4, -2), (0, 3)
(12, 15), (20, 2)
(10, 5), (10, 16)

28. Quiz 2…answers Midpoint (2, 0.5) Midpoint (16, 8.5)
Distance = 6.4
Slope = -5/4 or -1.25
Midpoint (16, 8.5)
Distance = 15.3
Slope = -13/8 or
Midpoint (10, 10.5)
Distance = 11
Slope = 0

29. 6-4 Special Parallelograms
Apply properties of rectangles, rhombi, and squares
Know diagonal properties
Diagonals bisect each other → all
Diagonals equal → rectangle & square
Diagonals perpendicular → rhombus & square
Diagonals bisect angles → rhombus & square
Area of a rhombus:

30. Trapezoids Trapezoid Properties ____________ Trapezoid
1 pair of _______________
2 pairs of consecutive (adjacent) angles are ___________ → pairs that touch the same ______
____________ Trapezoid
All properties of a__________
Legs are __________
Base angles (angles touching the same base) are ________
Diagonals are___________
__________ Trapezoid
All properties of a____________
Has a ________ angle

31. Kite Properties 2 pairs of consecutive (adjacent) sides__________
1 diagonal is ___________
Diagonals are _________________
1 diagonal is an _________________

32. Trapezoids Trapezoid Properties Trapezoid Isosceles Right 1 pair of
1200
Trapezoid Properties
1 pair of
2 pairs of consecutive (adjacent) angles are → pairs that touch the same
Trapezoid
All properties of a
Legs are
Base angles (angles touching the same base) are
Diagonals are
Has a angle
parallel sides
600
supplementary
legs
Isosceles
trapezoid
congruent
congruent
congruent
Right
trapezoid
right

33. Kite Properties 2 pairs of consecutive (adjacent) sides 1 diagonal is
Diagonals are
1 diagonal is an
congruent
bisected
perpendicular (900)
angle bisector

34. 6-5 Problems Know the properties of trapezoids & kites
Use angle relationships
Trapezoids: angles between parallel sides are supplementary (add to 1800)
Kites: diagonals are perpendicular (900)