1. - 1 1 12 (3, 5) and (7, 1) (-2, -2) and (0, 0) AC = 8 and BC = 10
Session Warm-up
Find the slope of the line passing through the given points.
(3, 5) and (7, 1)
(-2, -2) and (0, 0)
Triangle ABC is a right triangle with hypotenuse AB. Find the missing length.
AC = 8 and BC = 10
AC = 5 and AB = 13
- 1 1 12

2. Today Thurs- 6.7 Mon- Review Wed- Test Warm-up Homework Questions
Get Back Quiz
Notes 6.5
Notes/Activities 6.6
Work
Thurs- 6.7
Mon- Review
Wed- Test

3. Questions over hw? p. 351 3 - 21 and 27 - 42

4. 6.5 Trapezoids & Kites

5. Trapezoid
Is a quadrilateral with exactly 1 pair of parallel sides

6. Trapezoid
BASE
leg
A B
angle
base
base angle
C D

7. If the legs are congruent then the trapezoid is an isosceles trapezoid.

8. Theorem 6.14
If a trapezoid is isosceles, then each pair of base angles is congruent.

9. Theorem 6.15
If a trapezoid has a pair of congruent base angles, then it is an isosceles trapezoid.

10. Theorem 6.16
A trapezoid is isosceles if and only if its diagonals are congruent.

11. Midsegment
The midsegment of a trapezoid is the segment that connects the midpoints of its legs.

12. THM 6.17
The midsegment of a trapezoid is parallel to each base and its length is one half the sum of the lengths of its bases

13. EX 1 Find the length of MN. 10 16
P Q
M N 13
S R

14. EX 2 Find the value of x. 19 x

15. A Kite
A quadrilateral with two pairs of consecutive congruent sides, but opposite sides are not congruent.

16. Theorem 6.18
If a quadrilateral is a kite, then its diagonals are perpendicular.

17. Theorem 6.19
If a quadrilateral is a kite, then exactly one pair of opposite angles is congruent.

18. Ex 3 Find the measure of the sides. Round to the nearest tenth.L
LM = 3.6
LO = 3.6
ON= 5
MN = 5 2 O M 3 3 4 N

19. Ex 4 Find the mL. L
110 M
100
40 O N

20. Ex 5 Find the mL. L
35 M x
55 O
135 N

21. Add Trapezoid and Kite to your foldable.

22. 6.6 Special Quadrilaterals

23. 1 2 3 4 5 6 7 8 9 10 11 12
These are to print out and give students a copy. They should cut it out and use in the sorting activity. 13 14 15 16

24. Sorting Quadrilaterals Activity
1a. Remove the Concave quadrilaterals? Which did you remove? 3. 6.
Concave
From Geometry Teacher’s Activity Workbook p 114 & 115

25. 1b. The Rest… 2. 4. 5. 1. 8. 9.
10. 7.
11.
12.
13.
14.
Convex
16.
15.

26. Remove them from your stack.
2. Which of these have no parallel sides? 2. 4. 5. 1.
Trapeziums 8. 9.
10. 7.
11.
12.
12.
13.
14.
14.
16.
15.
Remove them from your stack.

27. 3. Which of the remaining quadrilaterals have 1 pair of parallel sides?1. 1. 2. 4. 5.
Trapezoids 7. 7. 8. 8. 9.
10.
11.
11.
13.
15.
16.
Remove them from your stack.

28. 4. Which of the remaining quadrilaterals have 2 sets of parallel sides?2. 2. 4. 4. 5. 5. 9. 9.
10.
10.
13.
13.
15.
15.
16.
16.
Parallelograms

29. 5. Which of the parallelograms have 4 right angles?2. 4. 4. 5. 5. 9.
10.
10.
13.
15.
15.
16.
Rectangles

30. 6. Which of the rectangles have 4 congruent sides?4. 5. 5.
10.
15.
15.
Squares

31. 7. Collect all of the parallelograms
7. Collect all of the parallelograms. Which of the parallelograms have 4 congruent sides?
Rhombi 2. 4. 5. 5. 9. 9.
10.
13.
15.
15.
16.
16.

32. Straw + String = Quadrilaterals
Each Student Needs: Straws, long piece of string, scissors
1st Cut out the bendy part off
Janet E. Hagadorn 2003 “5 minute Energizers”

33. Straw + String = Quadrilaterals
2nd Cut each long piece as shown
1/2
1/2 1
1/2
1/4
1/4 2
3/4
1/4 3
1/4
1/4
1/4
1/4 4
1/4
1/2
1/4 5
Janet E. Hagadorn 2003 “5 minute Energizers”

34. Straw + String = Quadrilaterals
3rd Use the string to make a parallelogram
Tie the ends
1/2
1/4
1/4
1/2
Janet E. Hagadorn 2003 “5 minute Energizers”

35. Straw + String = Quadrilaterals
4th Use the string to make a rhombus
Tie the ends
1/4
1/4
1/4
1/4
Janet E. Hagadorn 2003 “5 minute Energizers”

36. Straw + String = Quadrilaterals
5th Use the string to make a kite
1/4
Tie the ends
1/4
1/2
1/2
Janet E. Hagadorn 2003 “5 minute Energizers”

37. Straw + String = Quadrilaterals
6th Use the string to make an isosceles trapezoid
Tie the ends
1/2
1/4
1/4
3/4
Keep until the Test
Janet E. Hagadorn 2003 “5 minute Energizers”

38. Characteristics Parallelogram Rectangle Rhombus Square
Isosceles Trapezoid
Kite
Opposites sides are parallel
Opposite sides are congruent
Opposite angles are congruent
Consecutive angles are supplementary
Diagonals bisects each other
Diagonals are congruent
Diagonals are perpendicular
Diagonals bisect opposite angles
All sides congruent
All angles Congruent
Base angles are congruent
One pair of opposite angles congruent

39. Work
Worksheet 6.5B & 6.6B

40. Work
p – 24, 28 – 33