3D Solids Vocabulary 6 th Grade Math. Polygon A polygon is a closed figure formed by three or more...

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3D Solids Vocabulary 6 th Grade Math

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Transcript of 3D Solids Vocabulary 6 th Grade Math. Polygon A polygon is a closed figure formed by three or more...

Page 1: 3D Solids Vocabulary 6 th Grade Math. Polygon A polygon is a closed figure formed by three or more line segments.

3D Solids Vocabulary

6th Grade Math

Page 2: 3D Solids Vocabulary 6 th Grade Math. Polygon A polygon is a closed figure formed by three or more line segments.

Polygon

A polygon is a closed figure formed by three or more line segments.

Page 3: 3D Solids Vocabulary 6 th Grade Math. Polygon A polygon is a closed figure formed by three or more line segments.

Examples of Polygons

Page 4: 3D Solids Vocabulary 6 th Grade Math. Polygon A polygon is a closed figure formed by three or more line segments.

These Figures ARE NOT Polygons

Why is this figure not a polygon?

It is not made of 3 or more line segments!

Why is this figure not a polygon?

It is not CLOSED!

Page 5: 3D Solids Vocabulary 6 th Grade Math. Polygon A polygon is a closed figure formed by three or more line segments.

Face

A face is a flat surface of a

3-dimensional figure.

Page 6: 3D Solids Vocabulary 6 th Grade Math. Polygon A polygon is a closed figure formed by three or more line segments.

This is a face. This face is a

polygon.

This is a face. It is circular and

may also be called a base.

Page 7: 3D Solids Vocabulary 6 th Grade Math. Polygon A polygon is a closed figure formed by three or more line segments.

Edge

An edge is a line segment where two faces or a face and

lateral surface of a 3-dimensional

figure meet.

Page 8: 3D Solids Vocabulary 6 th Grade Math. Polygon A polygon is a closed figure formed by three or more line segments.

Think about this…

Where do we find the edges on a 3-

dimensional figure?

Page 9: 3D Solids Vocabulary 6 th Grade Math. Polygon A polygon is a closed figure formed by three or more line segments.

This figure has many edges

…and one

more that we

can’t see!

Page 10: 3D Solids Vocabulary 6 th Grade Math. Polygon A polygon is a closed figure formed by three or more line segments.

Does this figure have any edges?

Yes…because the

faces meet the lateral surface.

Face or circular base

Lateral Surface

Page 11: 3D Solids Vocabulary 6 th Grade Math. Polygon A polygon is a closed figure formed by three or more line segments.

Vertex (plural – Vertices)

A point…1) Where three or more edges

of a polyhedron meet.2) Opposite the base of a

cone.

Page 12: 3D Solids Vocabulary 6 th Grade Math. Polygon A polygon is a closed figure formed by three or more line segments.

This triangular pyramid

has 4 vertices.

Page 13: 3D Solids Vocabulary 6 th Grade Math. Polygon A polygon is a closed figure formed by three or more line segments.

Does this cone have a vertex?

Yes! It does have a point opposite

of the face or circular base –

therefore it does have a vertex!

Page 14: 3D Solids Vocabulary 6 th Grade Math. Polygon A polygon is a closed figure formed by three or more line segments.

Basebase of a cone – flat circular part,

which may also be called a face

base of a pyramid -polygonal

region that does not intersect

with other faces at the vertex

Page 15: 3D Solids Vocabulary 6 th Grade Math. Polygon A polygon is a closed figure formed by three or more line segments.

Bases, cont.bases of a prism –

the two parallel and congruent

regions

bases of a cylinder – the two parallel, circular regions

http://rc.usf.edu/soft/dlpoly/USRMAN/hexa.jpg
Page 16: 3D Solids Vocabulary 6 th Grade Math. Polygon A polygon is a closed figure formed by three or more line segments.

Cylinder

A cylinder is a 3-dimensional figure with two

parallel, circular bases

or faces.

Page 17: 3D Solids Vocabulary 6 th Grade Math. Polygon A polygon is a closed figure formed by three or more line segments.

Cone

A cone is a 3-dimensional figure with

a circular base or face.

Page 18: 3D Solids Vocabulary 6 th Grade Math. Polygon A polygon is a closed figure formed by three or more line segments.

PrismA prism is a 3-

dimensional figure with two parallel, congruent bases, and all faces that

are parallelograms (rectangles, etc.).

Page 19: 3D Solids Vocabulary 6 th Grade Math. Polygon A polygon is a closed figure formed by three or more line segments.

Naming PrismsPrisms are named

by the shape of their bases (the two sides that are congruent and parallel).

triangular prism

pentagonal prism

Page 20: 3D Solids Vocabulary 6 th Grade Math. Polygon A polygon is a closed figure formed by three or more line segments.

Pyramids

A pyramid is a 3-dimensional

figure with one base and

triangular faces.

Page 21: 3D Solids Vocabulary 6 th Grade Math. Polygon A polygon is a closed figure formed by three or more line segments.

Naming Pyramids

A pyramid is named by the shape of its base.

triangular pyramid

Page 22: 3D Solids Vocabulary 6 th Grade Math. Polygon A polygon is a closed figure formed by three or more line segments.

Definitions adapted from…

•http://intermath.coe.uga.edu•Geometry to Go, published by

Great Source•Teaching Student Centered

Mathematics, Grades 5-8, by John Van de Walle &

LouAnn H. Lovin

http://intermath.coe.uga.edu/

Polygons Sec: 6.1 Sol: G.10 Definition of Polygon A polygon is a closed figure formed by an finite number of coplanar segments such that the sides.

Polygons Sec: 6.1 Sol: G.10 Definition of Polygon A polygon is a closed figure formed by an finite number of coplanar segments such that the sides.

14 Rectilinear plane figures (Part I) · A closed plane figure bounded by three or more straight line segments is called a polygon. Each of the line segments by which a given polygon

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Polygons Closed figure made up of line segments Concave Polygon-can have reflex angles :One or more angles greater than 180 o Convex Polygon-all angles.

Polygons Closed figure made up of line segments Concave Polygon-can have reflex angles :One or more angles greater than 180 o Convex Polygon-all angles.

Polygons 6-1. Definition of Polygon A polygon is a closed figure formed by an finite number of coplanar segments such that the sides that have a common.

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APPENDIX E – SUMMARY OF DRINKING WATER THREATS …A1.2 Provincial Government ... the consolidation, not on each individual segment. Water line segments and water polygon segments

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Polygons. A polygon is a closed figure made by joining line segments, where each line segment intersects exactly two others.

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1 What is a polygon? a closed figure made by joining line segments Each line segment intersects exactly two others. line segments do not intersect *All.

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Javier Mendez. A polygon is any shape that is closed, has more than two sides and it does not have curved sides. In a polygon, the segments cannot intersect.

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3-d clipping and other thoughtsdownloads.gamedev.net/pdf/gpbb/gpbb65.pdf · operation to polygon clipping, working with the line segments that form the edges of a polygon. The most

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WHAT IS A POLYGON? A polygon is a closed figure made by joining line segments, where each line segment intersects exactly two others. The following.

WHAT IS A POLYGON? A polygon is a closed figure made by joining line segments, where each line segment intersects exactly two others. The following.

Polygons A Polygon is a closed plane figure formed by 3 or more segments Each segment intersects exactly 2 other segments only at their endpoints. No.

Polygons A Polygon is a closed plane figure formed by 3 or more segments Each segment intersects exactly 2 other segments only at their endpoints. No.

 · Lesson 3.3: Angles of Polygons . Polygon A closed plane figure made up of 3 or more line segments that intersect only at their endpoints (No curves) Polygon Examples Polygon Non-Examples

 · Lesson 3.3: Angles of Polygons . Polygon A closed plane figure made up of 3 or more line segments that intersect only at their endpoints (No curves) Polygon Examples Polygon Non-Examples

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6.1 POLYGONS. VOCABULARY Polygon: plane figure formed by three or more segments (called sides). Diagonal: segment that joins 2 non- consecutive vertices.

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© Boardworks Ltd 2005 1 of 67 Polygons A polygon is a 2-D shape made when line segments enclose a region. A B C D E The line segments are called sides.

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3.1: Symmetry in Polygons Definition of polygon: a plane figure with three or more segments which intersect two other segments at the endpoints. No two.

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9.4 – Perimeter, Area, and Circumference Perimeter of a Polygon The perimeter of any polygon is the sum of the measures of the line segments that form.

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The Polygon Angle- Sum Theorems. 3.4 The Polygon Angle-Sum Theorems Polygon: a closed plane figure with at least three sides that are segments A polygon.

The Polygon Angle- Sum Theorems. 3.4 The Polygon Angle-Sum Theorems Polygon: a closed plane figure with at least three sides that are segments A polygon.