Warmup

1
Warm-up
Session 37
Find the length, slope, and midpoint of AB. A
(-2, 7), B (6, 11)
8.94
1. Length (Distance)
½
2. Slope
(2, 9)
3. Midpoint
2
Put the following into 2 groups.
Explain the characteristics of each group.
3
POLYGONS
Not Polygons

• Curved and/or straight sides
• Open sides
• Sides overlap

• Made of 3 or more sides
• Sides meet at the vertices
• No curved sides

4
Let's Discuss
What does the word polygon mean?
What is the smallest number of sides a polygon
can have?
What is the largest number of sides a polygon can
have?
5
Triangle
Octagon
Quadrilateral
Nonagon
Pentagon
Decagon
Dodecagon
Hexagon
n-gon
Heptagon
6
Hip Bones connected to theClassifying Polygons
Polygons with 3 sides Triangles Polygons with 4
sides Quadrilaterals Polygons with 5 sides..
Pentagons But wait we have more
polygons Polygons with 6 sides
Hexagons Polygons with 7 sides
Heptagons Polygons with 8 sides Octagons But
still we have more polygons Polygons with 9
sides Nonagons Polygons with 10 sides
Decagons Polygons with 12 sides Dodecagons And
now we have our polygons
7
Polygons can be CONCAVE or CONVEX
CONCAVE
CONVEX
8
Classify each polygon as convex or concave.
Concave
Concave
Concave
CONVEX
9
Important Terms
10
Polygons are named by listing its vertices
consecutively.
A
B
C
F
E
D
11
More Important Terms
EQUILATERAL - All sides are congruent
EQUIANGULAR - All angles are congruent
REGULAR - All sides and angles are congruent
12
Interior Angles of a Quadrilateral add up to ____?
A
B
D
C
13
Find x.
14
Find x.
15
Find x.
16
HW p. 325 1 - 30, 37 - 39, 41
- 46
For a real challenge try problem 53