7-4 Classifying Polygons Course 3 Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation.

Slides:

Advertisements

Similar presentations

Advertisements

Holt CA Course Classifying Quadrilaterals Warm Up Warm Up California Standards Lesson Presentation Preview.

Warm Up The lengths of three sides of a triangle are given. Classify the triangle , 12, , 10, , 15, 26 equilateral scalene isosceles.

(7.6) Geometry and spatial reasoning. The student compares and classifies shapes and solids using geometric vocabulary and properties. The student is expected.

Do Now 1. What is the value of 5 0 ? a. 5 b. 50 c. 0 d Four stores are having a sale on the same computer. Which store is offering the best sale.

MEAP REVIEW. A polygon is a closed figure whose sides are made up of straight line segments that do not cross.

2 dimensional shapes and other geometry terms

BASIC 2-Dimensional SHAPES OF GEOMETRY

6th Grade Math Homework Chapter 7-7

Quadrilaterals.

Classifying Quadrilaterals

6.14 Polygons The student will identify, classify, and describe the characteristics of plane figures, describing their similarities, differences, and defining.

MG2.3 Draw quadrilaterals and triangles from given information about them (e.g., a quadrilateral having equal sides but no right angles, a right isosceles.

7-6 Quadrilaterals Course 1 Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day.

Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.

Pre-Algebra 5-4 Polygons 5-4 Polygons Pre-Algebra Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation.

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

Review of A1 Standards How Do I Classify and Find Angles In Polygons? Course 3 Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation.

Page 248 #1-9 ANSWERS.

Polygons 5.4 Pre-Algebra.

Polygons Closed figure made up of line segments

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

Warm Up 1. How many sides does a hexagon have? 2. How many sides does a pentagon have? 3. How many angles does an octagon have? 4. Evaluate (n – 2)180.

Preview Warm Up California Standards Lesson Presentation.

Polygons Polygons Simple, Simple, Closed figure Closed figure Made up of line segments Made up of line segments.

Warm-up 1.. NOTES - Polygons Polygons are classified by the number of sides it has: Pentagon – 5 Hexagon – 6 Heptagon – 7 Octagon – 8 Nonagon – 9 Decagon.

Polygons Lesson What is a polygon? A polygon is a simple, closed, two-dimensional figure formed by three or more line segments (sides). Closed?

PRE-ALGEBRA Find ALL of the missing angle measures. 40° 120° 60° 40 ° 60° 180-(40+60) = 80° 80° 100° Warm-Up for Lesson 9-3.

Polygon - a 3 or more sided closed figure

Special Quadrilaterals

What is a polygon? a closed figure made by joining line segments

A plane figure with four sides and four angles.

POLYGONS & QUADRILATERALS

Exploring and Classifying Polygons and Quadrilaterals M6G1. Students will further their understanding of plane figures. Retrieved from:

Geometric Figures: Polygons.

Elements of 2D Figures & Classifying Polygons. Point: a position in a plane or in a space that has no dimensions. Example: a point is written point A.

7-5 Polygons Course 2 Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation.

Pre-Algebra Unit 5 Geometry Quiz 5B Review. Name that Quadrilateral - I have 2 pairs of congruent, parallel sides.

Holt CA Course Classifying Polygons Warm Up Warm Up California Standards Lesson Presentation Preview.

Lesson 6.3/6.4 Objective: To find the two missing lengths of a 30°- 60°- 90°triangle. To classify four sided polygons. In a 30°-60°-90° triangle, The hypotenuse.

Section 4.1: polygons.

Quadrilaterals Objective: Learn to name and classify quadrilaterals.

8-5 Classifying Polygons Course 2 Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation.

Reviewing angles and polygons

What will we accomplish? We will review the naming of polygons. We will discuss two ways to classify triangles We will classify quadrilaterals by their.

Area. Triangles and rectangles are examples of polygons. A polygon is a closed plane figure formed by three or more line segments. Each line segment forms.

Quadrilaterals Lesson 11 – 5. Quadrilateral Def: a 4 sided polygon. or ‘ a figure with 4 sides and 4 angles’ **The SUM of the 4 angles must equal 360º**

Classifying Quadrilaterals

P RACTICE AND R EVIEW. 13 × (40 + 6) 87 − 9 5 × 9 40 × 10.

How Can You Tell That All Four of These Figures Are Quadrilaterals? What do they all have in common?

7-7 Quadrilaterals Course 2 Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation.

Plane figure with segments for sides polygon. Point that divides a segment into two equal parts midpoint.

What will we accomplish? We will review the naming of polygons. We will classify quadrilaterals by their characteristics.

J.Byrne Types of Triangles pg 1  The sum of the angles in any triangle is 180°  Equilateral Triangle  3 sides and 3 angles are equal  Isosceles.

Classifications Bowen’s Class. Quadrilateral Any four sided polygon Any four sided polygon.

CLASSIFYING POLYGONS Unit 1 Lesson 6. Classifying Polygons Students will be able to: Identify the 2-dimensional shapes based on their properties. Key.

7-7 Quadrilaterals Warm Up Problem of the Day Lesson Presentation

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

7-5 Polygons Course 2 Warm Up Problem of the Day Lesson Presentation.

Geometry Shapes J.Byrne 2017.

etryandmeasurement/polygons/

I can classify quadrilaterals by their properties.

Triangle Vocabulary Equilateral:

Ms. Brittany Uribe Geometry

Classifying 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.

Classifying Quadrilaterals

8-5 Classifying Polygons Warm Up Problem of the Day

Classifying Polygons.

Quadrilaterals and other Polygons

Presentation transcript:

7-4 Classifying Polygons Course 3 Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation

Warm Up 1. How many sides does a hexagon have? 2. How many sides does a pentagon have? 3. How many angles does an octagon have? 4. Evaluate (n – 2)180 for n = 7. Course Classifying Polygons

Problem of the Day Jeffrey planted four carnations, three dahlias, seven marigolds, five cornflowers, one geranium, and four mums. He forgot to water them and on each of the two following days, half the remaining flowers died. How many flowers were still living at the end of the second day? 6 Course Classifying Polygons

Learn to classify and find angles in polygons. Course Classifying Polygons

Vocabulary polygon regular polygon trapezoid parallelogram rectangle rhombus square Insert Lesson Title Here Course Classifying Polygons

A polygon is a closed plane figure formed by three or more segments. A polygon is named by the number of its sides. Course Classifying Polygons

nn-gon 8Octagon 7Heptagon 6Hexagon 5Pentagon 4Quadrilateral 3Triangle Number of Sides Polygon Course Classifying Polygons

Additional Example 1A: Finding Sums of the Angle Measures in Polygons Find the sum of the angle measures in a hexagon ° = 720° 4 triangles Divide the figure into triangles. Course Classifying Polygons

Additional Example 1B: Finding Sums of the Angle Measures in Polygons Continued Find the sum of the angle measures in a octagon ° = 1080° 6 triangles Divide the figure into triangles. Course Classifying Polygons

Check It Out: Example 1A Find the sum of the angle measures in a hexagon ° = 720° 4 triangles Divide the figure into triangles. Course Classifying Polygons

Find the sum of the angle measures in a heptagon ° = 900° 5 triangles Check It Out: Example 1B Divide the figure into triangles. Course Classifying Polygons

The pattern is that the number of triangles is always 2 less than the number of sides. So an n-gon can be divided into n – 2 triangles. The sum of the angle measures of any n-gon is 180°(n – 2). All the sides and angles of a regular polygon have equal measures. Course Classifying Polygons

Additional Example 2A: Finding the Measure of Each Angle in a Regular Polygon Find the angle measures in the regular polygon. 6 congruent angles 6x° = 180°(6 – 2) 6x° = 180°(4) 6x° = 720° 6x° 66x° 6 720° 6 = x° = 120° Course Classifying Polygons

Additional Example 2B: Finding the Measure of Each Angle in a Regular Polygon Find the angle measures in the regular polygon. 4 congruent angles 4y° = 180°(4 – 2) 4y° = 180°(2) 4y° = 360° y° = 90° 4y° 44y° 4 360° 4 = Course Classifying Polygons

Check It Out: Example 2A Find the angle measures in the regular polygon. 5 congruent angles 5a° = 180°(5 – 2) 5a° = 180°(3) 5a° = 540° 5a°55a°5 540° 5 = a° = 108° a° Course Classifying Polygons

Find the angle measures in the regular polygon. 8 congruent angles 8b° = 180°(8 – 2) 8b° = 180°(6) 8b° = 1080° 8b° 88b° ° 8 = b° = 135° b° Check It Out: Example 2B Course Classifying Polygons

Quadrilaterals with certain properties are given additional names. A trapezoid has exactly 1 pair of parallel sides. A parallelogram has 2 pairs of parallel sides. A rectangle has 4 right angles. A rhombus has 4 congruent sides. A square has 4 congruent sides and 4 right angles. Course Classifying Polygons

Course Classifying Polygons

Additional Example 3A: Classifying Quadrilaterals quadrilateral parallelogram rectangle rhombus square Four-sided polygon 2 pairs of parallel sides 4 right angles 4 congruent sides 4 congruent sides and 4 right angles Give all the names that apply to the figure. Course Classifying Polygons

Additional Example 3B: Classifying Quadrilaterals Give all the names that apply to the figure. quadrilateral parallelogram rhombus Four-sided polygon 2 pairs of parallel sides 4 congruent sides Course Classifying Polygons

Check It Out: Example 3A Give all the names that apply to the figure. quadrilateral parallelogram rectangle Four-sided polygon 2 pairs of parallel sides 4 right angles Course Classifying Polygons

Give all the names that apply to the figure. quadrilateral Four-sided polygon Check It Out: Example 3B Course Classifying Polygons

Lesson Quiz: Part I 1. Find the sum of the angle measures in a quadrilateral. 2. Find the sum of the angle measures in a hexagon. 3. Find the measure of each angle in a regular octagon. Insert Lesson Title Here 360° 720° 135° Course Classifying Polygons

Lesson Quiz: Part II 4. Write all of the names that apply to the figure below. Insert Lesson Title Here quadrilateral, rhombus, parallelogram Course Classifying Polygons