Geometry Name: Unit 4 WS 2Date: Identify the polygon by name, whether it is convex or non convex,

Slides:

Advertisements

Similar presentations

Unit 2 Polygons In The Plane.

Advertisements

Objectives Classify polygons based on their sides and angles.

Interior and Exterior Angles of Polygons

POLYGONS 10/17/2007 NAMING POLYGONS

The Polygon Angle-Sum Theorems

Warm Up A three sided polygon is called a __________.

Geometry Day 41 Polygons.

8.1 – Find Angle Measures in Polygons

Chapter 24 Polygons.

Geometry 6.1 Angles of Polygons

Lesson 1-6 Polygons Lesson 1-6: Polygons.

Objectives Classify polygons based on their sides and angles.

Angles of Polygons.

Polygons & Quadrilaterals

Polygons Keystone Geometry

ANGLES OF POLYGONS SECTION 8-1 JIM SMITH JCHS. POLYGONS NOT POLYGONS.

Interior/Exterior Angles in Regular Polygons R.4.G.2 Solve problems using properties of polygons: sum of the measures of the interior angles of a polygon.

Number of sidesName of polygon 3triangle 4quadrilateral 5pentagon 6hexagon 7heptagon 8octagon 9nonagon 10decagon A polygon is a shape enclosed by straight.

6-1 The Polygon Angle-Sum Theorems

8.1.1 Find Angle Measures in Quadrilaterals Chapter 8: Quadrilaterals.

Lesson 1-6 Polygons Lesson 3-4: Polygons.

Lesson (1-6): Polygons_ p: 45 A polygon is a closed figure whose sides are all segments that intersect only at their endpoints examples polygonnot a polygon:

ANGLES OF POLYGONS SPI SPI Identify, describe and/or apply the relationships and theorems involving different types of triangles, quadrilaterals.

8.2 Angles in Polygons Polygon Number of sides Number of triangles Sum of measures of interior angles Triangle Quadrilateral Pentagon Hexagon Heptagon.

Do Now ChalkUp “Quadrilateral Review”. 3/17/ C Polygons.

Polygon – Shape with many angles; each segment (side) must intersect exactly 2 other segments.

7.3 Formulas Involving Polygons. Before We Begin.

Warm-Up Draw an example of a(n)…

8.2 Angles in Polygons Textbook pg 417. Interior and Exterior Angles interior angles exterior angle.

Angles of Polygons Find the sum of the measures of the interior angles of a polygon Find the sum of the measures of the exterior angles of a This scallop.

Geometry. 3 sides 4 sides 5 sides 6 sides 8 sides 9 sides 10 sides 12 sides triangle quadrilateral pentagon hexagon octagon nonagon decagon dodecagon.

Polygons Advanced Geometry Polygons Lesson 1. Polygon a closed figure Examples NO HOLES NO CURVES SIDES CANNOT OVERLAP all sides are segments.

Unit 8 Polygons and Quadrilaterals Polygons.

Objectives To identify and name polygons To find the sum of the measures of interior and exterior angles of convex and regular polygons To solve problems.

ANGLES OF POLYGONS. Polygons  Definition: A polygon is a closed plane figure with 3 or more sides. (show examples)  Diagonal  Segment that connects.

Informal Geometry 10.2 Diagonals and Angle Measure.

$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.

Holt Geometry 6-1 Properties and Attributes of Polygons 6-1 Properties and Attributes of Polygons Holt Geometry Warm Up Warm Up Lesson Presentation Lesson.

Lesson 3-4: Polygons 1 Polygons. Lesson 3-4: Polygons 2 These figures are not polygonsThese figures are polygons Definition:A closed figure formed by.

Polygons. Polygon Interior Angle Theorem The sum of the measures of the interior angles of a convex polygon is given by: Sum = 180(n – 2) where n represents.

Lesson 3-4 Polygons. A polygon is a closed figure No, not a polygon Yes, a polygon.

POLYGONS 10/17/2007 NAMING POLYGONS

Polygon Worksheet 1. Concave Polygon Convex Polygon.

Determine the name of the polygon

10.1 Polygons Geometry.

Polygons Subtitle.

8.1 – Find Angle Measures in Polygons

6-1 Angles of Polygons The student will be able to:

Polygons – Measurements of Angles

Polygons 3 triangle 8 octagon 4 quadrilateral 9 nonagon pentagon 10

Y8 Polygon Workbook.

Interior and Exterior angles

Angles of Polygons.

Angle Relationships in Polygons

8.1 – Find Angle Measures in Polygons

Two-Dimensional Figures

Lesson 3-4 Polygons Lesson 3-4: Polygons.

ANGLES OF POLYGONS.

Polygons What? Closed figure; 3 or more line segments that do not cross Name a Polygon Count the number of sides 3 - Triangle 4 - Quadrilateral.

How many diagonals in a… 1. Triangle _______ 2. Heptagon _______

Math Humor Q: What type of figure is like a lost parrot?

a closed figure whose sides are straight line segments.

Lesson 3-4 Polygons.

The Polygon Angle-Sum Theorem

3.3 Day 1 - Interior Angles of Polygons

Angle Measures of Polygons

ANGLES OF POLYGONS SECTION 8-1 JIM SMITH JCHS.

EQ: What are the properties of different quadrilaterals?

Lesson 3-4 Polygons.

Presentation transcript:

Geometry Name: __________________________ Unit 4 WS 2Date: __________________________ Identify the polygon by name, whether it is convex or non convex, and whether it is regular or irregular Regular Irregular Regular Irregular Regular Irregular Convex Non Convex Convex Non Convex Convex Non Convex How many diagonals in a… 1. Triangle_______ 2. Heptagon_______ 3. Octagon_______ 4. Quadrilateral_______ 5. Pentagon_______ How many sides in a… 1. Nonagon_______ 2. Quadrilateral_______ 3. Decagon_______ 4. Hexagon_______ 5. Octagon_______ Sum of the exterior angles in a… 1. Nonagon_______ 2. Pentagon_______ 3. Octagon_______ sided polygon_______ 5. Decagon_______ Sum of the interior angles in a… 1. Triangle_______ 2. Heptagon_______ 3. Hexagon_______ 4. Quadrilateral_______ sided polygon_______

Geometry Name: __________________________ Unit 4 Date: __________________________ Name: ___________________________________ Sum of the Interior Angles: ___________________ Sum of the Exterior Angles: ___________________ Number of Diagonals: ________________________ Name: ___________________________________ Sum of the Interior Angles: ___________________ Sum of the Exterior Angles: ___________________ Number of Diagonals: ________________________ Name: ___________________________________ Sum of the Interior Angles: ___________________ Sum of the Exterior Angles: ___________________ Number of Diagonals: ________________________ Name: ___________________________________ Sum of the Interior Angles: ___________________ Sum of the Exterior Angles: ___________________ Number of Diagonals: ________________________ A BC AB C D E F A B C E B D A D C x = ________ m  A = ______ m  B = ______ m  C = ______ x = ________ m  A = ______ m  B = ______ m  C = ______ m  D = ______ x = ________ m  A = ______ m  B = ______ m  C = ______ m  D = ______ m  E = ______ m  F = ______ x = ________ m  A = ______ m  B = ______ m  C = ______ m  D = ______ m  E = ______ Directions: Solve each algebra connection problem; show all work; answer all questions. 3x 4x Remember: When lines are parallel, same side interior angles are supplementary. 6x x 24x 10x x x x 45x + 1

Geometry Name: __________________________ Unit 4 WS 3Date: __________________________ The measure of each exterior angle of a regular polygon is 36. The measure of each exterior angle of a regular polygon is 60. What is the sum of the exterior angles? __________ How many sides does the polygon have? ___________ What is the name of the polygon? ______________ What is the sum of the interior angles? __________ What is the measure of each interior angle? _______ How many diagonals can be constructed? __________ What is the sum of the exterior angles? __________ How many sides does the polygon have? ___________ What is the name of the polygon? ______________ What is the sum of the interior angles? __________ What is the measure of each interior angle? _______ How many diagonals can be constructed? __________ The measure of each exterior angle of a regular polygon is 120. The measure of each exterior angle of a regular polygon is 15. What is the sum of the exterior angles? __________ How many sides does the polygon have? ___________ What is the name of the polygon? ________________________________________ What is the sum of the interior angles? __________ What is the measure of each interior angle? _______ How many diagonals can be constructed? __________ What is the sum of the exterior angles? __________ How many sides does the polygon have? ___________ What is the name of the polygon? ________________________________________ What is the sum of the interior angles? __________ What is the measure of each interior angle? _______ How many diagonals can be constructed? __________

Geometry Name: __________________________ Unit 4 WS 3Date: __________________________ The measure of each interior angle of a regular polygon is 140. The measure of each interior angle of a regular polygon is 156. What is the sum of the interior angles? __________ How many sides does the polygon have? ___________ What is the name of the polygon? ______________ What is the sum of the exterior angles? __________ What is the measure of each exterior angle? ______ How many diagonals can be drawn? ______________ What is the sum of the interior angles? __________ How many sides does the polygon have? ___________ What is the name of the polygon? _______________ What is the sum of the exterior angles? __________ What is the measure of each exterior angle? ______ How many diagonals can be drawn? ______________ The measure of each interior angle of a regular polygon is 135. The measure of each interior angle of a regular polygon is 108. What is the sum of the interior angles? __________ How many sides does the polygon have? ___________ What is the name of the polygon? _______________ What is the sum of the exterior angles? __________ What is the measure of each exterior angle? ______ How many diagonals can be drawn? ______________ What is the sum of the interior angles? __________ How many sides does the polygon have? ___________ What is the name of the polygon? _______________ What is the sum of the exterior angles? __________ What is the measure of each exterior angle? ______ How many diagonals can be drawn? ______________

Geometry Name: __________________________ Unit 4 - PolygonsDate: __________________________ 3x + 6 x - 5 M N 3. x = ______ m  M = _____ m  O = _____ m  N = _____ m  P = _____ 3x - 6 5x x = _______ m  D = _______ m  F = _______ m  G = _______ 3x + 9 2x - 3 x + 18 x = _______ m  A = _______ m  B = _______ m  C = _______ A B C D F G x = ______ y = ______ z = ______ length of each side = ______ (5x)˚ (3y)˚ 3z - 8 z + 2 NOTE: The figure is regular! P O x + 5 3x - 6 What is the sum of the interior angles? __________ What is the measure of each interior angle? _______ What is the sum of the exterior angles? __________ What is the measure of each exterior angle? _______ How many diagonals can be constructed? __________ 5. Given: regular 18-sided polygon