Daily Warm-Up Quiz 3 minutes 1.The sum of the measures of the interior angles of any triangle is ___________. 2.If two angles of one triangle are congruent.

Slides:

Advertisements

Similar presentations

The shapes below are examples of regular polygons

Advertisements

Objectives Classify polygons based on their sides and angles.

Answer each question as indicated. What is the sum measures of the interior angles of a triangle? Answer: 180 

POLYGONS 10/17/2007 NAMING POLYGONS

8.1 Find Angle Measures in Polygons

5.2 Exterior Angles of a Polygon

Geometry 5 Level 1. Interior angles in a triangle.

3.6 Angles in Polygons Objectives: Warm-Up:

NAMING POLYGONS.

Objectives Classify polygons based on their sides and angles.

Lesson 1.6 Classify Polygons. Objective Classify Polygons.

Section 11.6 Notes. Regular Polygon and its Parts.

7.4 Regular Polygons Learner Objective: Students will recognize regular polygons and will use the formula for finding the measure of the exterior angle.

Aim 6.4: To explore the exterior angles of a polygon

Do Now Take out your calculator. Take a protractor from the front.

6-1 The Polygon Angle-Sum Theorems

Classify Triangles Standard 4C.

Math 1 March 14 th WARM-UP: 1. TW = 24TS = 10 RU = 12 S is the centroidFind the measures of these segments: a) TU b) SV c) TV d) RS e) SU.

Course Polygons 8-7 Polygons Course 1 Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day.

Polygon Properties - Ch 5 Quadrilateral Sum Conjecture The sum of the measures of the four angles of any quadrilateral is… degrees. C-30 p. 256.

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

1-6 Classify Polygons Warm Up Lesson Presentation Lesson Quiz

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

Measures of Angles of Polygons.

Objective: After studying this section, you will be able to recognize regular polygons and use a formula to find the measure of an exterior angle of an.

6.2 Lesson. Take out your homework Find the value of x. 73 o 38 o x y z.

Warm-up 5.2 and 5.3 Exterior Angles Kites and Trapezoids

3.4 Find Angle Measures in Polygons Thompson Objectives: 1. To find the sum of the measures of the interior and exterior angles in any n-gon.

1.6 Classify Polygons. Identifying Polygons Formed by three or more line segments called sides. It is not open. The sides do not cross. No curves. POLYGONS.

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.

8-4 Angles in Polygons Problem of the Day How many different rectangles are in the figure shown? 100.

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.

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

Polygons What are properties (rules) of the different types of Quadrilaterals?

1.6 Classify Polygons. A polygon is convex if no line that contains a side of the polygon contains a point in the interior of the polygon. A polygon that.

1.6 Warm Up Warm Up Lesson Quiz Lesson Quiz Lesson Presentation Lesson Presentation Classify Polygons.

POLYGONS. What is a Polygon? A closed figure made by joining line segments, where each line segment intersects exactly two others Examples of polygons:

1-6 Classify Polygons.

Section 3-5 Angles of Polygons

CH. 5-1: POLYGON ANGLES Mr. Schaab’s Geometry Class Our Lady of Providence Jr.-Sr. High School

1 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.

§10.1 Polygons  Definitions:  Polygon  A plane figure that…  Is formed by _________________________ called sides and… ..each side intersects ___________.

The Interior Angles of Polygons. Sum of the interior angles in a polygon We’ve seen that a quadrilateral can be divided into two triangles … … and a pentagon.

6.1 Notes The Polygon Angle-Sum Theorem. Investigation Sketch a polygon with 4,5,6, and 8 sides. Divide each polygon into triangles by drawing all diagonals.

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.

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.

5.1 Angles of Polygons. Sum of interior angles of an n-gon: (n-2)180 degrees Each interior angle of a regular n-gon: (n-2)180/n degrees Sum of exterior.

LESSON 7.1 OBJ: The learner will use interior and exterior angles in a polygon. Do Now: Name the polygons with the given number of sides: 3, 4, 5, 6, 7,

POLYGONS 10/17/2007 NAMING POLYGONS

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

7-7 Polygons Course 1 Warm Up Problem of the Day Lesson Presentation.

Lesson 8-1 Angles of Polygons Lesson 3-4: Polygons.

Interior angles in a triangle

Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.

3-3 & 3-4 Parallel Lines & the Triangle Angle-Sum Theorem

Do Now Solve each equation. x = x = 180 x + 32 = 180 x = 90

8-7 Polygons Course 1 Warm Up Problem of the Day Lesson Presentation.

EXAMPLE 1 Identify polygons

MODULE - 7 EUCLIDEAN GEOMETRY.

3-5 Angles of a Polygon.

Classify the triangle by the angles and the sides.

EXAMPLE 1 Identify polygons

1-4 Vocabulary polygons concave/convex vertex side diagonal n-gon

Section 6.1 Polygons.

8-7 Polygons Course 1 Warm Up Problem of the Day Lesson Presentation.

EXAMPLE 1 Identify polygons

1.6 Classify Polygons.

Presentation transcript:

Daily Warm-Up Quiz 3 minutes 1.The sum of the measures of the interior angles of any triangle is ___________. 2.If two angles of one triangle are congruent to two angles of another triangle, then their third angles _____. 3.A diagonal is a segment ___________. 4.A regular polygon is ______________. 5.x = -? x

Polygon Sum Conjecture During this lesson, we will:  Find the sum of measures of the interior angles of a quadrilateral  Determine and apply a formula for finding the sum of the measures of the interior angles of any polygon  Determine and apply a formula for finding the measure of one angle in a regular (equilateral/equiangular) polygon

INVESTIGATION Group I Group II Find the sum of the measures of the four angles of your pre-cut quadrilateral, using your protractor. Compare your answer with Group II members. Group II Group I Find the sum of the measures of the four angles of your pre-cut quadrilateral by tearing off the four angles,  Q,  U,  A, and  D and arranging them about a point. Compare your answer with Group I members.

Quadrilateral Sum Conjecture What appears to be true each time? State your next conjecture. Illustrate this in your glossary. The sum of the measures of the interior angles of any quadrilateral is _____. 360 

INVESTIGATION Use the table provided in your guided notes to find a formula that relates the number of sides of a polygon and the total number of in its angles. What about the other polygons?

POLYGON INTERIOR ANGLES SUM CONJECTURE POLYGON SUM: POLYGON SUM: ______________ ____________________________ ____________________________ ____________________________. The sum of the interior angles of any n-gon is (n-2) 180 (n-2) 180, where n is the number of sides.

Recall: An equiangular polygon is a polygon with all angles equal in measure. An equilateral polygon is a polygon with all sides equal in length. A regular polygon is a polygon with all its angles equal in measure and all its side equal in length. In other words, it is a(n) ______________________________. equiangular and equilateral polygon

Use the table to help you predict the measure of each angle in an equiangular polygon. # Sides34567…n  s Sum Each  The measure of each angle in an equiangular n-gon is ________. (n-2) 180 n

Final Checks for Understanding Given: Regular Hexagon Find: x x y Find y.