Geometry Chapter 10 -1 Polygons. Convex Polygon – a polygon with a line containing a side with a...

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Geometry Chapter 10 -1 Polygons

Transcript of Geometry Chapter 10 -1 Polygons. Convex Polygon – a polygon with a line containing a side with a...

Page 1: Geometry Chapter 10 -1 Polygons. Convex Polygon – a polygon with a line containing a side with a point in the interior of the polygon.

Geometry Chapter 10 -1Polygons

Page 2: Geometry Chapter 10 -1 Polygons. Convex Polygon – a polygon with a line containing a side with a point in the interior of the polygon.

Convex Polygon – a polygon with a line containing a side with a point in the interior of the polygon.

Page 3: Geometry Chapter 10 -1 Polygons. Convex Polygon – a polygon with a line containing a side with a point in the interior of the polygon.

Concave Polygon - a polygon WITHOUT a line containing a side with a point in the interior of the polygon

Page 4: Geometry Chapter 10 -1 Polygons. Convex Polygon – a polygon with a line containing a side with a point in the interior of the polygon.

Interior Angle Sum Theorem

The sum of the measures of the interior angles of a convex polygon is

S = 180(n – 2)

n = number of sides.

Page 5: Geometry Chapter 10 -1 Polygons. Convex Polygon – a polygon with a line containing a side with a point in the interior of the polygon.

Interior Angle of a regular Polygon

The measure of the interior angle of a regular polygon is

n = number of sides.

180( 2)nS

n

Page 6: Geometry Chapter 10 -1 Polygons. Convex Polygon – a polygon with a line containing a side with a point in the interior of the polygon.

Exterior Angle Sum Theorem

The sum of the measures of the exterior angles of a convex polygon, one at each vertex is

3600

Page 7: Geometry Chapter 10 -1 Polygons. Convex Polygon – a polygon with a line containing a side with a point in the interior of the polygon.

Exterior Angle of a Regular Polygon

The measure of an exterior angle of a regular polygon is

n = number of sides.

360S

n


2D Shapes. Polygons.. What is a polygon? A polygon is a closed plane shape made out of straight lines. The lines that make up the polygon are called sides.

2D Shapes. Polygons.. What is a polygon? A polygon is a closed plane shape made out of straight lines. The lines that make up the polygon are called sides.

Unit 7 – Polygons and Circles Diagonals of a Polygon

Unit 7 – Polygons and Circles Diagonals of a Polygon

Polygons and Quadrilaterals. Polygons The word polygon means “many angles”

Polygons and Quadrilaterals. Polygons The word polygon means “many angles”

11.6 –Areas of Regular Polygons. Center of a polygon: Point equidistant to the vertices of the polygon center.

11.6 –Areas of Regular Polygons. Center of a polygon: Point equidistant to the vertices of the polygon center.

1.6 Classify Polygons - Mrs. charpentierscharpentier.weebly.com/uploads/2/1/4/0/21409574/section_1-6.pdf · 1.6 Classify Polygons 43 CLASSIFYING POLYGONS A polygon is named by the

1.6 Classify Polygons - Mrs. charpentierscharpentier.weebly.com/uploads/2/1/4/0/21409574/section_1-6.pdf · 1.6 Classify Polygons 43 CLASSIFYING POLYGONS A polygon is named by the

Polygons - E-STUDYthirdyearengineering.weebly.com/uploads/.../polygon... · Scan line polygon Filling Interior Pixel Convention Pixels that lie in the interior of a polygon belong

Polygons - E-STUDYthirdyearengineering.weebly.com/uploads/.../polygon... · Scan line polygon Filling Interior Pixel Convention Pixels that lie in the interior of a polygon belong

Main Idea/Vocabulary congruent polygon Identify congruent polygons.

Main Idea/Vocabulary congruent polygon Identify congruent polygons.

10-3 Areas of Regular Polygons To find the area of a regular polygon In finding the area of a regular polygon, students will find a polygon of n sides.

10-3 Areas of Regular Polygons To find the area of a regular polygon In finding the area of a regular polygon, students will find a polygon of n sides.

Polygon Clipping and Filling - Drexel CCI€¦ · • Polygon filling – Scan filling polygons – Flood filling polygons – Pattern filling polygons • Introduction and discussion

Polygon Clipping and Filling - Drexel CCI€¦ · • Polygon filling – Scan filling polygons – Flood filling polygons – Pattern filling polygons • Introduction and discussion

Polygons, Quadrilaterals, and Special Parallelograms...... Day 1 Angles in polygons A ... 2. 4. 3. 3 Angles in Polygons ... The sum of the interior angles of a convex regular polygon

Polygons, Quadrilaterals, and Special Parallelograms...... Day 1 Angles in polygons A ... 2. 4. 3. 3 Angles in Polygons ... The sum of the interior angles of a convex regular polygon

Chapter 6 Quadrilaterals. Section 6.1 Polygons Polygon A polygon is formed by three or more segments called sides –No two sides with a common endpoint.

Chapter 6 Quadrilaterals. Section 6.1 Polygons Polygon A polygon is formed by three or more segments called sides –No two sides with a common endpoint.

Polygons. Why a hexagon? Polygon comes from Greek. poly- means "many" -gon means "angle" Polygons 1.2-dimensional shapes 2.made of straight lines.

Polygons. Why a hexagon? Polygon comes from Greek. poly- means "many" -gon means "angle" Polygons 1.2-dimensional shapes 2.made of straight lines.

· PDF fileStandard: 3.G.1n1 Identify, describe, and classify polygons (e.g., pentagons, hexagons, and octagons) Concept Skill: Polygons A polygon is a simple, closed

· PDF fileStandard: 3.G.1n1 Identify, describe, and classify polygons (e.g., pentagons, hexagons, and octagons) Concept Skill: Polygons A polygon is a simple, closed

Polygons Triangles Quadrilateral Pentagon Hexagon Heptagon Octagon Decagon Polygon Song.

Polygons Triangles Quadrilateral Pentagon Hexagon Heptagon Octagon Decagon Polygon Song.

POLYGONS A polygon is a 2-dimensional shape made of straight lines. Examples: (only a few)

POLYGONS A polygon is a 2-dimensional shape made of straight lines. Examples: (only a few)

Polygons and Quadrilaterals.notebook€¦ · Topic: Polygons and Quadrilaterals Section 6.1: Properties and Attributes of Polygons A polygon is a closed plane figure formed by three

Polygons and Quadrilaterals.notebook€¦ · Topic: Polygons and Quadrilaterals Section 6.1: Properties and Attributes of Polygons A polygon is a closed plane figure formed by three

3-5 The Polygon Angle-Sum Theorems · Lesson 3-5 The Polygon Angle-Sum Theorem Classifying Polygons: A convex polygon does not have a diagonal with points outside the polygon. A concave

3-5 The Polygon Angle-Sum Theorems · Lesson 3-5 The Polygon Angle-Sum Theorem Classifying Polygons: A convex polygon does not have a diagonal with points outside the polygon. A concave

6-1 Polygons Goal 1 Describing Polygons. A polygon is an enclosed plane figure that is made up of segments.

6-1 Polygons Goal 1 Describing Polygons. A polygon is an enclosed plane figure that is made up of segments.

What is a polygon? What are the different types of polygons? What is a congruent polygon? What is a similar polygon? What are some examples.

What is a polygon? What are the different types of polygons? What is a congruent polygon? What is a similar polygon? What are some examples.

6.1 Properties and Attributes of Polygons. Polygon Vocab POLYGON: Diagonal: Concave Polygons: Convex polygons: Regular polygon:

6.1 Properties and Attributes of Polygons. Polygon Vocab POLYGON: Diagonal: Concave Polygons: Convex polygons: Regular polygon: