Math I Day 39 (10-3-08)

1
Warm-up
What four properties do we know about all
parallelograms?
1) Opposite sides are congruent
2) Opposite angles are congruent
3) Consecutive angles are supplementary
4) Its diagonals bisect each
2
Homework Review

• Page 306
• 116 2) 48 3) 96 4) a9, b11
• 5) x2, y 17 6) x4, y116
• 7) f78, g3.5 8) m4, n5 9) j4.5,k2
• Page 313
• Cons. Angles Supp. 2) Pair Opp. Sides
• 3) Diagonals Bisect 4) One Pair Parallel and
• 5) 6 6) 8
• 7) 1 8) 79
• 9) 20 10) 31

3
Math I
UNIT QUESTION What are the properties and
characteristics of polygons? Standard
MM1G1.e. Todays Question What special
properties apply to rhombuses, rectangles, and
squares? Standard MM1G.1.e.
4
Properties of Quadrilaterals Activity
5
5-10 Special Parallelograms
SQUARES
RECTANGLES
6
RHOMBUS
FOUR CONGRUENT SIDES
7
A quadrilateral is a RHOMBUS if and only if it
has four congruent sides
8
RHOMBUS
Diagonals Bisect A Pair of Opposite Angles
9
RHOMBUS
Diagonals are Perpendicular
10
RECTANGLE
FOUR RIGHT ANGLES
11
A quadrilateral is a RECTANGLE if and only if it
has four right angles
12
RECTANGLE
Diagonals are Congruent
13
SQUARE
FOUR RIGHT ANGLES AND FOUR CONGRUENT SIDES
14
Let's make a Venn Diagram Relating all of the
Properities of our quadrilaterals
15
QUADRILATERALS
RHOMBUSES
RECTANGLES
Squares
PARALLELOGRAMS
16
QUADRILATERALS
1. Polygon
2. 4 sides
1. Opposite Sides are congruent
RHOMBUSES
1. Diagonals bisect angles
RECTANGLES
2. Diagonals perp
Squares
1. 4 rt. angles
3. 4 equal sides
2. Diagonals congruent
2. Opposite Angles are congruent
3. Diagonals Bisect
4. Consecutive angles are supplementary
PARALLELOGRAMS
17
PQRS is a rhombus
P
Q
R
S
18
PQRS is a rhombus
P
Q
R
S
19
PQRS is a rectangle
20
Homework p. 319 7-28, not 20 or 24