1. Use properties of above shapes to solve problems
Materials:
Straightedge
2 sheets of Patty Paper
Quadrilaterals
To recognize and define parallelograms, rectangles, squares, rhombus, and trapezoids
Use properties of above shapes to solve problems

2. Parallelogram Properties
Use a ruler to draw two sets of intersecting parallel lines on your patty paper. Label the parallelogram ABCD.
Place a second patty paper over the first and trace ABCD. Label the second parallelogram PQRS.

3. Continue
Move the second patty paper over the first and compare side RS to side AB. How do the lengths of the opposite sides compare?
Rotate and move the second patty paper over the first to compare opposite angles R and A or angles S and B. How do the opposite angles compare?
Rotate the second patty paper around the first to compare<S and <A. What is their relationship? What can be drawn?

5. Quadrilaterals
Essential Question: How to use the properties of quadrilaterals to find the missing measures?

7. Quadrilaterals
Four-sided polygons
Angles have the sum of 360 degrees

9. Polygon
Closed figure
Formed by segments
Essentials:
Nonessentials:

11. Parallelogram It’s a quadrilateral Two sets of parallel sides
Opposite sides are congruent
Opposite angles are congruent
Consecutive angles are supplementary
Diagonals bisect each other

13. Rectangle Two sets of parallel sides Opposite sides are congruent
All angles are congruent
Diagonals are congruent and bisect each other
It’s a parallelogram

15. Rhombus Two sets of parallel sides All sides are congruent
Opposite angles are congruent
Consecutive angles are supplementary
Diagonals are perpendicular, bisect each other, and bisect the angles
It’s a parallelogram

17. Square It’s a parallelogram, rectangle, and rhombus
Two sets of parallel sides
All sides are congruent
All angles are congruent
Diagonals are congruent, perpendicular, bisect each other, and bisect the angles

19. Trapezoid Exactly one pair of parallel sides Parallel sides are bases
Nonparallel sides are legs
If legs are congruent, then its an isosceles trapezoid
Diagonals are congruent
Median is a segment that joins the midpoints of its legs
M= ½ (b1 + b2)
It’s a quadrilateral.

20. Complete
 8.2 Parallelograms
 8.4 Rectangles, Rhombi, and Squares
 (back) Quadrilaterals

21. Monday Warm-Up: find the missing measures
Parallelogram
Square 3 12 15 61 30 27 18

22. Practice Complete USE:  8.2 Parallelograms Quadrilateral Info Sheet
 8.4 Rectangles, Rhombi, and Squares
 (back) Quadrilaterals
USE:
Quadrilateral Info Sheet
YOU MAY WORK WITH A PARTNER
Quiz on Tuesday

23. Polygon Hierarchy Polygons Quadrilaterals Parallelograms Trapezoid
Rectangles
Rhombus
Square

24. Polygon Hierarchy Due Date: Tuesday
~ Some classes of polygons are quadrilaterals, parallelograms, rectangles, trapezoids, rhombi, and squares. These classes are arranged in the hierarchy on next slide.
Directions:
Copy hierarchy.
Explain in details (complete sentences) why the shapes are arranged as so. Use your yellow sheet, textbook, Geometry to Go, and/or internet as a reference.
Be creative. You may write an explanation under each box, use poster board, etc.
Find a real world picture for all seven shapes.
 Due Date: Tuesday

25. Polygon Hierarchy Polygons Quadrilaterals Parallelograms Trapezoid
Rectangles
Rhombus
Square

32. Tuesday Warm-Up: find the missing measures
Square
X =
Rectangle
X =
(2x + 8)º
(2x + 16)
(4x + 6) 67

33. Practice Questions

34. Define quadrilateral.
Answer:
Four sided figure.
Angle sum = 360ºº

35. Explain why a square is a rectangle, and why a rectangle is not considered as a square.
Answer:
A square always have 4 congruent sides where as a rectangles sometime have 4 congruent sides.

36. Properties of an isosceles trapezoid
Answer:
Congruent Legs
Bases are parallel
Base angles are congruent
Diagonals are congruent

37. Parallelogram, rectangle, rhombus, or square?
All angles are congruent.
Answer:
Rectangle and square

38. Parallelogram, rectangle, rhombus, or square?
All sides are congruent.
Answer:
Rhombus and square

39. Parallelogram, rectangle, rhombus, or square?
Diagonals are perpendicular.
Answer:
Rhombus and square

40. Parallelogram, rectangle, rhombus, or square?
All sides and angles are congruent.
Answer:
square

41. QUIZ TIME ABSOLUTELY NO TALKING
Work on your Polygon Hierarchy following quiz.

42. Monday Warm-Up: find the missing measures
Rhombus
Parallelogram 3 14 15 61 23 48 27 16

43. Trapezoid Draw an isosceles trapezoid ABCD Label the bases and legs
What do know about the legs?
Draw the diagonals
What do know about the
diagonals?
Draw an isosceles trapezoid WXYZ
Draw a median and label legs
What is the formula to find the median B A D C W X Z Y

45. Isosceles Trapezoid If LK = 30, HJ = 42, Find RS.
If RS = 17, HJ = 14, Find LK. H
If RS = x + 5, (HJ + LK) = 4x + 6, Find RS. K L S R J

46. Isosceles Trapezoid
110 10 24 36

47. Practice: Quadrilaterals/Trapezoids
Complete 8.1 and 8.5
Complete QuadPrac
Quiz: Tuesday
Project DUE Tuesday
Test: Monday

48. ACTIVITY 1 ACTIVITY 2 Polygon Hierarchy QuadPrac All due TOMORROW!
Explain why the shapes are arranged as is and attach a real world picture to each.
Polygons
ACTIVITY 2
Quadrilaterals
Parallelograms
Trapezoid
QuadPrac
Rhombus
Critical Thinking
Know the properties of each quadrilateral
Find the missing measures
Solve for x.
Rectangles
Square

49. Tuesday Warm-Up 3. X Y M N W Z 1. B A
WXYZ is a trapezoid. M is the midpoint of XW and N is the midpoint of YZ. If WZ = 25 and MN = 18, find XY. If <Y is 123°, find <W.
4. Rectangle
B A
C D
Given ABCD, m< A = 3x + 4 and m< C = 5x – 28, find m< B.
2. Two adjacent angles of a parallelogram have measures (3x – 2) and (4x + 7). Find x.
36º 10

50. ACTIVITY ACTIVITY Polygon Hierarchy Quiz: Trapezoid Tuesday Agenda
Project is due TODAY!
Explain why the shapes are arranged as is and attach a real world picture to each.
NO talking during quiz
Do your BEST!
Quiz: Trapezoid
Polygons
Quadrilaterals
Parallelograms
Trapezoid
Tuesday Agenda
Turn in Polygon Hierarchy
√ QuadPrac
Take Quiz: Trapezoids
Complete Study Guide (Test Wednesday)
Rhombus
Rectangles
Square

51. Wednesday List the properties of each shape without your yellow sheet.
Parallelogram Rectangle
Square Rhombus
Isosceles
Trapezoid

52. Chapter 6: Quadrilaterals
Review…Review… Review
Any questions from study guide?
TEST….TEST…TEST
Take your time!
Do your BEST!
SHOW all work for FULL credit.
When finish, work on Dissections of Squares quietly.
Need glue & scissors

53. Dissections of Squares
ACTIVITY 1
Chapter 6 test
TEST….TEST…TEST
Take your time!
Do your BEST!
SHOW all work for FULL credit.
When finish, work on Dissections of Squares quietly.
Need glue & scissors
ACTIVITY 2
Dissections of Squares
Critical Thinking
Cut out each figure (one at a time) and rearrange pieces to form a square.
Glue pieces in the square provided.