Session TWO.

Slides:



Advertisements
Similar presentations
Find Angle Measures in Polygons
Advertisements

Polygons and Their Angles
Geometry Day 41 Polygons.
Geometry 3.5 Angles of a Polygon.
1. Find the measure of the supplement of a 92° angle. 2. Evaluate (n – 2)180 if n = Solve = 60.
Section 6.1 Angles of Polygons
Polygons & Quadrilaterals
7.3 Formulas involving polygons
POLYGONS “MANY” “SIDES”. A polygon is a 2-dimensional shape.
6.1 Polygons Textbook page 303. Definitions A polygon is a plane figure that is formed by three or more segments called sides. (a closed, sided figure)
5.2 Exterior Angles of a Polygon
Geometry 3.5 Angles of a Polygon Standard 12.0 & 13.0.
CHAPTER 24 Polygons. Polygon Names A POLYGON is a shape made up of only STRAIGHT LINES.
8.2 Angles in Polygons Polygon Number of sides Number of triangles Sum of measures of interior angles Triangle Quadrilateral Pentagon Hexagon Heptagon.
Warm Up Solve x = x = x = x + 32 = 180 Course Angles in Polygons.
8-4 Angles in Polygons Problem of the Day How many different rectangles are in the figure shown? 100.
Do Now ChalkUp “Quadrilateral Review”. 3/17/ C Polygons.
Quadrilaterals, Diagonals, and Angles of Polygons.
Gee, I wish I could use my TI – 83!. For each of the following sequences, determine the common difference and the level at which it occurs , 0,
(page ) Indicator  G2: Properties of 2- dimensional figures.
Areas of Regular Polygons Section Theorem 11.3 Area of an Equilateral Triangle: The area of an EQUILATERAL triangle is one fourth the square of.
6.1 Polygons Week 1 Day 2 January 7 th 2014 Warm UP: Identifying Polygons State whether the figure is a polygon. If it is not, explain why.
Acc Math 1 March 1 st What you need today in class: 1. Calculator 2. Turn in homework 3. Pick up new packet – they will need hole-punching WARM-UP: Copy.
VARIABLES & EXPRESSIONS Section 1.1. Quantity Anything that can be measured or counted.
Look at the shapes below. How do I know which ones are pentagons?
Area of Triangles and Quadrilaterals Basic equations and applying to irregular polygons.
Warm Up 1. A ? is a three-sided polygon.
Polygons Advanced Geometry Polygons Lesson 1. Polygon a closed figure Examples NO HOLES NO CURVES SIDES CANNOT OVERLAP all sides are segments.
Do Now. Section 8.2 Angles in Polygons Polygon Interior Angles Theorem The sum of the measures of the interior angles of a convex polygon with n sides.
CLASSIFYING POLYGONS UNIT 1 LESSON 6. Classifying Polygons In geometry, a figure that lies in a plane is called a plane figure. A polygon is a closed.
ANGLES OF POLYGONS. Polygons  Definition: A polygon is a closed plane figure with 3 or more sides. (show examples)  Diagonal  Segment that connects.
Section 7.3. DIRECTIONS 1)Draw a pentagon 2)Measure each side of the pentagon EXACTLY 3)Label each vertex
$100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500.
P O L Y G O N S 2-6. DEFINITION A POLYGON is the union of segments in the same plane such that each segment intersects exactly two others at their endpoints.
8.1 Angle measures of a Ploygon. Polygons Polygons are closed figures Made of strait segment Segments only intersect at endpoints forming vertices.
Polygons 1 What is the difference between concave and convex?
Polygon Angle-Sum. A polygon is a closed plane figure with at least three sides. The sides intersect only at their endpoints and no adjacent sides are.
Plane Figures. What are the types of figures? A closed figure begins and ends at the same end point. An open figure has ends that do not meet.
POLYGONS 10/17/2007 NAMING POLYGONS
6-1 Properties and Attributes of Polygons Warm Up Lesson Presentation
7.3 Formulas involving polygons
Classify Quadrilaterals
8.1 Angles of Polygons What you’ll learn:
Bellwork How do you find a circumcenter of a triangle using tool?
Lesson 8-1 Angles of Polygons Lesson 3-4: Polygons.
Now let’s explore the sum of the 4 angles in any quadrilateral.
Types of Polygons Polygon- a flat closed figure made of straight line segments Circle the figures that are polygons. Cross out the figures 
that are.
Polygons Similar and Congruent
Do Now Solve each equation. x = x = 180 x + 32 = 180 x = 90
Chapter 8: Quadrialterals
Find Angle Measures in Polygons
Lesson 10-9 Pages Reflections.
Angles of a Polygon Diagonal of a polygon – A segment that connects any two nonconsecutive vertices. The number of triangles formed by drawing diagonals.
Lesson 6 – 1 Angles of Polygons
Angles of Polygons.
Angle Relationships in Polygons
7.1 Introducing Polygons Objectives: Define “polygon”
6.1 Notes: Angles of Polygons
For each representation, explain how you find the value of x
Three-Dimensional Figures and Spatial Reasoning
G4.1 Introducing Polygons
7-8 Angles in Polygons Warm Up Problem of the Day Lesson Presentation
Introduction to Polygons
a closed figure whose sides are straight line segments.
The Polygon Angle-Sum Theorem
3.3 Day 1 - Interior Angles of Polygons
6-1 Parallelograms Objectives:
Do Now Solve. 1. –8p – 8 = d – 5 = x + 24 = 60 4.
Week 23 Math Vocabulary pentagon – 5 sided polygon
EQ: What are the properties of different quadrilaterals?
Presentation transcript:

Session TWO

Let’s look at the homework!

Diagonals of polygons Q: What is a diagonal? A: Diagonals are line segments that connect one corner (vertex) to another, but not the sides. A pentagon (5-sides) has 5 diagonals.

Number of diagonals from each corner Do you see a pattern? Number of corners Number of diagonals from each corner Pattern 5 2 6 3 7 4 8 9 10

Number of diagonals from each corner Do you see a pattern? Number of corners Number of diagonals from each corner Pattern 5 2 Subtract 3 6 3 7 4 8 9 10

Number of diagonals from each corner Number of corners Number of diagonals from each corner Total number of lines 5 2 5 x 2 = 10 6 3 6 x 3 = 18 7 4 7 x 4 = 28 8 8 x 5 = 40 9 9 x 6 = 54 10 10 x 7 = 70

Number of diagonals from each corner Number of corners Number of diagonals from each corner Total number of lines Number of diagonals 5 2 5 x 2 = 10 10/2 = 5 6 3 6 x 3 = 18 18/2 = 9 7 4 7 x 4 = 28 28/2 = 14 8 8 x 5 = 40 40/2 = 20 9 9 x 6 = 54 54/2 = 27 10 10 x 7 = 70 70/2 = 35

What were your steps to find an expression? reflections What were your steps to find an expression?

Homework Try another one!

Thank you so much See you all next week!