Quadrilaterals Sec 6.1 GOALS: To identify, name, & describe quadrilaterals To find missing measures in quadrilaterals.

Slides:

Advertisements

Similar presentations

Objectives Classify polygons based on their sides and angles.

Advertisements

Interior and Exterior Angles of Polygons

POLYGONS 10/17/2007 NAMING POLYGONS

Geometry 6.1 Prop. & Attributes of Polygons

3.4 The Polygon Angle-Sum Theorems

Geometry 6.1 Angles of Polygons

3.4: The Polygon Angle-Sum Theorem

Objectives Classify polygons based on their sides and angles.

Geometry Section 6.1 Polygons 4/15/2017.

How are polygons classified?

Angles of Polygons.

 DEFINITION: closed plane figure formed by 3 or more line segments such that each segment intersects exactly 2 other segments only at endpoints These.

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)

3.4: THE POLYGON ANGLE-SUM THEOREM OBJECTIVE: STUDENTS WILL BE ABLE TO… TO CLASSIFY POLYGONS, AND TO FIND THE SUMS OF INTERIOR AND EXTERIOR ANGLES OF POLYGONS.

2.5 – Classify Polygons. Polygon: 2. No sides overlap or cross 3. No curved sides 1. 3 or more sides 4. Closed figure.

Chapter 3 Lesson 4 Objective: Objective: To classify polygons.

The Polygon Angle- Sum Theorems

2.5 How Can See It? Pg. 20 Classify Polygons. 2.5 – How Can I See It?______________ Classify Polygons In this section you will discover the names of the.

Friday, Feb. 22, 2013 Agenda: TISK & No MM HW Check Lesson 10-1: Polygons Homework: 10-1 problems in packet A B C

Math 2 Geometry Based on Elementary Geometry, 3 rd ed, by Alexander & Koeberlein 2.5 Convex Polygons.

6.1 Polygons 6.2 Properties of Parallelograms Essential Question: How would you describe a polygon?

Objectives Define polygon, concave / convex polygon, and regular polygon Find the sum of the measures of interior angles of a polygon Find the sum of the.

Polygons Section 1-6 polygon – a many-sided figure convex polygon – a polygon such that no line containing a side of the polygon contains a point in.

Lesson 10-6 Pages Polygons. What you will learn! 1. How to classify polygons. 2. Determine the sum of the measures of the interior and exterior.

Section 3-5 Angles of a Polygon. many two endpoint collinear Yes No angles.

Section 3-5: The Polygon Angle-Sum Theorem. Objectives To classify polygons. To find the sums of the measures of the interior and exterior angles of a.

Section 3.5 Polygons A polygon is:  A closed plane figure made up of several line segments they are joined together.  The sides to not cross each other.

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

6.1 Polygons Day 1 What is polygon?  Formed by three or more segments (sides).  Each side intersects exactly two other sides, one at each endpoint.

Warm-Up Draw an example of a(n)…

Section 1.6. In geometry, a figure that lies in a plane is called a plane figure. A polygon is a closed plane figure with the following properties. Identifying.

Name the polygons with the following number of sides: Triangle Quadrilateral Pentagon Hexagon Heptagon Octagon Nonagon Decagon Dodecagon.

+ Polygon Angle Sum Theorem (3.4) Objective: To classify polygons, and to find the sums of interior and exterior angles of polygons.

Drill 1)If two angles of a triangle have a sum of 85 degrees find the third angle. 2) The three angles of a triangle are 2x, 3x, and 2x + 40 find each.

1-6 Classify Polygons.

TODAY IN GEOMETRY… Learning Goal: 1.6 Classify Polygons

Geometry Honors T HE P OLYGON A NGLE -S UM T HEOREM.

Polygons Geometry.

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.

CCSS G-CO 9: Prove theorems about lines and angles. G-CO 10: Prove theorems about triangles. G-CO 11: Prove theorems about parallelograms. Lesson Goals.

Warm Up Draw a large aerial view of a group of building into your notebook. Example:

Chapter 6 Quadrilaterals Sec 6.1 Polygons. Polygon 1.Is a plane figure that is formed by 3 or more segments. No two sides with common endpoint are collinear.

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.

3-5 Angles of a Polygon. A) Terms Polygons – each segment intersects exactly two other segments, one at each endpoint. Are the following figures a polygon?

1.4 Polygons. Polygon Definition: A polygon is a closed figure in a plane, formed by connecting line segments endpoint to endpoint. Each segment intersects.

6.1 Polygons. Objectives: Identify, name, and describe polygons. Identify, name, and describe polygons. Use the sum of the interior angles of a quadrilateral.

2.5 How Can See It? Pg. 20 Classify Polygons. 2.5 – How Can I See It?______________ Classify Polygons In this section you will discover the names of the.

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.

Sect. 6.1 Polygons Goal 1 Describing Polygons Goal 2 Interior Angles of Quadrilaterals.

POLYGONS. Examples of Polygons: NOT Examples of Polygons: Definition of a Polygon A polygon is a closed figure formed by a finite number of coplanar segments.

Lesson 3-5 Angles of a Polygon (page 101) Essential Question How can you apply parallel lines (planes) to make deductions?

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.

Polygon Closed plane figure with at least three sides The sides intersect only at their endpoints No adjacent sides are collinear To name a polygon –Start.

Section 6-1 Polygons. Polygon Formed by three or more segments called sides. No two sides with a common endpoint are collinear. Each side intersects exactly.

3-4: The polygon Angle-Sum Theorems

Chapter 6: Quadrilaterals Section 6.1: Polygons. polygon – a plane figure that meets the following conditions. 1)It is formed by three or more segments.

POLYGONS 10/17/2007 NAMING POLYGONS

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

Section Classify Polygons Objective: SWBAT classify polygons

Warm UP: Identifying Polygons

Chapter 8: Quadrialterals

6.1 Vocabulary Side of a polygon Vertex of a polygon Diagonal

Geometry 6.1 Polygons.

3.4 The Polygon Angle-Sum Theorems

The Polygon Angle-Sum Theorems

Section 2.5 Convex Polygons

Section 6.1 Polygons.

Presentation transcript:

Quadrilaterals Sec 6.1 GOALS: To identify, name, & describe quadrilaterals To find missing measures in quadrilaterals

Polygons Polygon – a figure that has three or more sides vertex side a plane figure a closed figure three or more noncolllinear sides each side intersects exactly two other sides at the vertices Specifically:

Polygon or not? Identify whether the following figures are polygons.

Naming Polygons Polygons are named by the number of sides they have. Number of sidesName 3triangle 4quadrilateral 5pentagon 6hexagon 7heptagon 8octagon 9nonagon 10decagon n n-gon

Convex and Concave Polygons Convex Polygon – a polygon where no line that contains a side of the polygon contains a point in the interior of the polygon. Point in the interior! Convex Polygon Concave Polygon

Example Name of Polygon Convex or Concave? #1 #2

Regular Polygon Regular Polygon – a polygon that is both equilateral and equiangular. Are the following polygons regular?

Diagonal of a Polygon A segment that joins two nonconsecutive vertices. Polygon ABCDE Diagonals BE and BD

Angle Measures in Quadrilaterals The sum of the measures of the interior angles of a quadrilateral is 360 degrees. Theorem 6.1

Example Find the value of y in quadrilateral WXYZ.

Example Find the value of x in quadrilateral WXYZ. Then find the measure of angle X and Y.

Example Solve for x and y. Then find the angle measures.

Homework Page 325- See assignment guide