8.1.2 What is its measure?
|
|
- Victor Wiggins
- 5 years ago
- Views:
Transcription
1 8.1.2 What is its measure? Interior Angles of a Polygon Objective: Students will learn how to find the sum of the interior angles of a polygon and will be able CCSS: G-GMD.1 Mathematical Practices: reason abstractly and quantitatively Core: 8 13 to 8 15 HW: 8 17 to 8 23 Materials: Handouts, 1/student: RP 8.1.2, Learning Log 8-14d Suggested Lesson: Intro: Point out that the class will be looking for ways to find the sum of the interior angles of a polygon minutes Use Think-Ink-Pair-Share 8-14 distribute the RP 8.1.2, also LL 8-14d Discuss problem If time allows, Hot Potato. Closure (10 minutes): Ask each team to post a solution to one of the parts of problem 8 16 so that stude
2 Intro: Students will be looking for ways to find the sum of the interior angles of a polygon and that many different strategies are possible. Encourage students to look for different ways because they may find a method that seems easier or more efficient than their first method. Since students know the sum of the angles of a triangle is always 180, students should think back to what they have learned about polygons so far to help them decide how to dissect polygons into triangles minutes Use Think-Ink-Pair-Share.» Based on their experience with hinged mirrors and with pinwheel triangles in 8.1.1, students should consider the possibility of dividing the pentagon in problem 8-13 into isosceles triangles.» Students can reason that there are five triangles, so the sum of all the angles is (5) (180º) = 900º. However, since the central angles are not part of the interior angles, then 360 should be subtracted, 540º.» This method can be generalized as follows: For a polygon with n sides, the interior angle sum is 180n 360º» Some students may realize that the pentagon could instead be dissected into triangles as shown in the diagram at right. In this strategy, students connect vertices to create the minimum number of triangles inside the polygon. Later, students should notice that the number of triangles is always two less than the number of sides of the polygon. Thus, the interior angle sum for a polygon with n sides is 180(n 2). After 10 minutes, pull the class together and ask students to share how they found the sum. Encourage students to show how they dissected the pentagon and found the sum. As students share their solution method, be sure they provide reasons justifying why their method works. After each presentation, ask the class, Would this strategy work for other polygons? and Does it matter if the polygon is regular or not? 8-14 Distribute the RP and have teams start problem. Teams should use one of the strategies presented for problem 8-13 in order to find the interior angle sums of other polygons. Parts (c) and (d) require students to generalize to find the interior sum of a 100-gon and an n-gon. Discuss problem 8-13 before moving teams on to the next problems Students prove that the sum of the angles of a pentagon must be Use Hot Potato. This problem asks students to apply their understanding and connect it with other knowledge, such as finding the base angles of an isosceles triangle and using the relationships created when two parallel lines are cut by a transversal. Note: Part (b) of asks students to find the individual angle of an equiangular hexagon, a preview of Closure (10 minutes): Ask each team to post a solution to one of the parts of problem 8-16 so that students can compare strategies and correct their own work. Problem 8-14 asks students to write a Learning Log entry to summarize how to find the sum of the interior angles of a polygon. You could have students do a Peer Edit for this entry.
3 8-6 a. 110 b. 70 c. 48 d a. no b. yes c. no d. yes e. no f. yes g. yes h. no 8-8 b. The measure of an exterior of a equals the sum of the measures of its remote interior s. c. a + b + c = 180º (sum of interior s of a is 180 ), x + c = 180º (straight angle); a + b + c = x + c (substitution) and a + b = x (subtract c from both sides). 8-9 x = 72 and y = = a. congruent (SAS ), x = 79 b. Cannot be determined. c. congruent (AAS ), x 5.9 units d. congruent (SAS ), x a. True b. False (counterexample is a quadrilateral without parallel sides.) c. True d. True e. False (counterexample is a parallelogram that is not a rhombus)
4 WarmUp: In your spiral, show work. January 18, 2017
5
6 Quiz Time XXXX Put away phone, close books, HW, etc. You may use only your own INB & pencil. You may use only your own calculator. No sharing. Show work clearly & completely. Turn over quiz when you are finished, & either make a drawing on back of quiz or preview today's lesson. No talking until I've collected all quizzes. To request documented extension, write "more time" & room #, date & time you plan to complete.
7
8
9
10
11
12 "Concave" January 18, 2017
13
14 8-5. Answers. a. Triangles (1), (3), and (4) will create convex polygons. They are each isosceles (or equilateral) and the non base angle divides evenly into 360. b. (1): 5, regular pentagon; (3): 18, regular 18 gon; (4): 9, regular nonagon January 18, 2017
15 Objective(s): You Will learn how to find the sum of the interior angles of a polygon; apply this skill to solve problems.
16 Think-Ink-Pair-Share January 18, 2017
17 Think-Ink-Pair-Share January 18, 2017
18 CW: 8-13, 8-14, 8-16 January 18, 2017
19
20 INBp94 January 18, 2017
21 a. m = 133 b. x = 120 c. k = 144 d. The two unmarked angles sum to 180 (same side interior angles), so y = 45
22 Add your notes about these quadrilaterals to your Theorem's Toolkit January 18, 2017 INB 95 CPM 481
23 HW: 8-17 to 8-23 (show complete work to support your answers); LL 8-14d (INB 94); MN Special Quad Properties (INB 95/CPM 481); Ch 7 Quiz 1/ answers: a. m = 133 b. x = 120 c. k = 144 d. The two unmarked angles sum to 180 (same side interior angles), so y = 45
24 HW: 8-17 to B = +
1/25 Warm Up Find the value of the indicated measure
1/25 Warm Up Find the value of the indicated measure. 1. 2. 3. 4. Lesson 7.1(2 Days) Angles of Polygons Essential Question: What is the sum of the measures of the interior angles of a polygon? What you
More informationPolygons are named by the number of sides they have:
Unit 5 Lesson 1 Polygons and Angle Measures I. What is a polygon? (Page 322) A polygon is a figure that meets the following conditions: It is formed by or more segments called, such that no two sides with
More informationAngles in a polygon Lecture 419
Angles in a polygon Lecture 419 Formula For an n-sided polygon, the number of degrees for the sum of the internal angles is 180(n-2)º. For n=3 (triangle), it's 180. For n=4 (quadrilateral), it's 360. And
More information6-1 Properties and Attributes of Polygons
6-1 Properties and Attributes of Polygons Warm Up Lesson Presentation Lesson Quiz Geometry Warm Up 1. A? is a three-sided polygon. triangle 2. A? is a four-sided polygon. quadrilateral Evaluate each expression
More informationLesson 7.1. Angles of Polygons
Lesson 7.1 Angles of Polygons Essential Question: How can I find the sum of the measures of the interior angles of a polygon? Polygon A plane figure made of three or more segments (sides). Each side intersects
More informationReview Interior Angle Sum New: Exterior Angle Sum
Review Interior Angle Sum New: Exterior Angle Sum QUIZ: Prove that the diagonal connecting the vertex angles of a kite cut the kite into two congruent triangles. 1 Interior Angle Sum Formula: Some Problems
More information6 Polygons and. Quadrilaterals CHAPTER. Chapter Outline.
www.ck12.org CHAPTER 6 Polygons and Quadrilaterals Chapter Outline 6.1 ANGLES IN POLYGONS 6.2 PROPERTIES OF PARALLELOGRAMS 6.3 PROVING QUADRILATERALS ARE PARALLELOGRAMS 6.4 RECTANGLES, RHOMBUSES AND SQUARES
More informationAngles of Polygons. Essential Question What is the sum of the measures of the interior angles of a polygon?
7.1 Angles of Polygons Essential Question What is the sum of the measures of the interior angles of a polygon? The Sum of the Angle Measures of a Polygon Work with a partner. Use dynamic geometry software.
More informationMFM 1P. Foundations of Mathematics Grade 9 Applied Mitchell District High School. Unit 4 Geometry There are 5 formal lessons in this unit.
MFM 1P Foundations of Mathematics Grade 9 Applied Mitchell District High School Unit 4 Geometry There are 5 formal lessons in this unit. Lesson # Lesson Title Practice Questions Date Completed 1 Interior
More informationMath Polygons
Math 310 9.2 Polygons Curve & Connected Idea The idea of a curve is something you could draw on paper without lifting your pencil. The idea of connected is that a set can t be split into two disjoint sets.
More informationObjectives. 6-1 Properties and Attributes of Polygons
Objectives Classify polygons based on their sides and angles. Find and use the measures of interior and exterior angles of polygons. side of a polygon vertex of a polygon diagonal regular polygon concave
More information8 Quadrilaterals. Before
8 Quadrilaterals 8. Find Angle Measures in Polygons 8. Use Properties of Parallelograms 8.3 Show that a Quadrilateral is a Parallelogram 8.4 Properties of Rhombuses, Rectangles, and Squares 8.5 Use Properties
More informationConvex polygon - a polygon such that no line containing a side of the polygon will contain a point in the interior of the polygon.
Chapter 7 Polygons A polygon can be described by two conditions: 1. No two segments with a common endpoint are collinear. 2. Each segment intersects exactly two other segments, but only on the endpoints.
More informationPoints, lines, angles
Points, lines, angles Point Line Line segment Parallel Lines Perpendicular lines Vertex Angle Full Turn An exact location. A point does not have any parts. A straight length that extends infinitely in
More informationExplore 2 Exploring Interior Angles in Polygons
Explore 2 Exploring Interior Angles in Polygons To determine the sum of the interior angles for any polygon, you can use what you know about the Triangle Sum Theorem by considering how many triangles there
More informationGeometry Ch 7 Quadrilaterals January 06, 2016
Theorem 17: Equal corresponding angles mean that lines are parallel. Corollary 1: Equal alternate interior angles mean that lines are parallel. Corollary 2: Supplementary interior angles on the same side
More information14. How many sides does a regular polygon have, if the measure of an interior angle is 60?
State whether the figure is a polygon; if it is a polygon, state whether the polygon is convex or concave. HINT: No curves, no gaps, and no overlaps! 1. 2. 3. 4. Find the indicated measures of the polygon.
More informationGeometry Unit 6 Properties of Quadrilaterals Classifying Polygons Review
Geometry Unit 6 Properties of Quadrilaterals Classifying Polygons Review Polygon a closed plane figure with at least 3 sides that are segments -the sides do not intersect except at the vertices N-gon -
More informationName: Date: Period: CLASS MONDAY (9/19) TUESDAY (9/20) WEDNESDAY (9/21) THURSDAY (9/22) FRIDAY (9/23) Practice with finding the apothem
Homework 2 nd Hour 1 st Hour Name: Date: Period: This week, we will learn how to find the area and angles of regular polygons. We will end the week reviewing how to solve proportions. CLASS MONDAY (9/19)
More informationDefinition: Convex polygon A convex polygon is a polygon in which the measure of each interior angle is less than 180º.
Definition: Convex polygon A convex polygon is a polygon in which the measure of each interior angle is less than 180º. Definition: Convex polygon A convex polygon is a polygon in which the measure of
More informationCambridge Essentials Mathematics Core 9 GM1.1 Answers. 1 a
GM1.1 Answers 1 a b 2 Shape Name Regular Irregular Convex Concave A Decagon B Octagon C Pentagon D Quadrilateral E Heptagon F Hexagon G Quadrilateral H Triangle I Triangle J Hexagon Original Material Cambridge
More informationUnit 3: Triangles and Polygons
Unit 3: Triangles and Polygons Background for Standard G.CO.9: Prove theorems about triangles. Objective: By the end of class, I should Example 1: Trapezoid on the coordinate plane below has the following
More informationWarm-Up Exercises. 1. If the measures of two angles of a triangle are 19º and 80º, find the measure of the third angle. ANSWER 81º
Warm-Up Exercises 1. If the measures of two angles of a triangle are 19º and 80º, find the measure of the third angle. 81º 2. Solve (x 2)180 = 1980. 13 Warm-Up Exercises 3. Find the value of x. 126 EXAMPLE
More informationGeometry/Trigonometry Unit 5: Polygon Notes Period:
Geometry/Trigonometry Unit 5: Polygon Notes Name: Date: Period: # (1) Page 270 271 #8 14 Even, #15 20, #27-32 (2) Page 276 1 10, #11 25 Odd (3) Page 276 277 #12 30 Even (4) Page 283 #1-14 All (5) Page
More informationGeometry Review for Test 3 January 13, 2016
Homework #7 Due Thursday, 14 January Ch 7 Review, pp. 292 295 #1 53 Test #3 Thurs, 14 Jan Emphasis on Ch 7 except Midsegment Theorem, plus review Betweenness of Rays Theorem Whole is Greater than Part
More informationAssumption High School. Bell Work. Academic institution promoting High expectations resulting in Successful students
Bell Work Geometry 2016 2017 Day 36 Topic: Chapter 4 Congruent Figures Chapter 6 Polygons & Quads Chapter 4 Big Ideas Visualization Visualization can help you connect properties of real objects with two-dimensional
More information8.1 Find Angle Measures in Polygons
VOCABULARY 8.1 Find Angle Measures in Polygons DIAGONAL Review: EQUILATERAL EQUIANGULAR REGULAR CLASSIFYING POLYGONS Polygon Interior Angle Theorem: The sum of the measures of the interior angles of a
More informationUnit 4 Quadrilaterals and Polygons (QDP) Target Lesson Plan 3 Weeks
Unit 4 Quadrilaterals and Polygons (QDP) Target Lesson Plan 3 Weeks 2011-12 M2.3.J Know, prove, and apply basic theorems about s. 2,3 MC,CP I Know, prove, and apply theorems about properties of quadrilaterals
More informationLesson Plan #39. 2) Students will be able to find the sum of the measures of the exterior angles of a triangle.
Lesson Plan #39 Class: Geometry Date: Tuesday December 11 th, 2018 Topic: Sum of the measures of the interior angles of a polygon Objectives: Aim: What is the sum of the measures of the interior angles
More informationMPM1D Page 1 of 6. length, width, thickness, area, volume, flatness, infinite extent, contains infinite number of points. A part of a with endpoints.
MPM1D Page 1 of 6 Unit 5 Lesson 1 (Review) Date: Review of Polygons Activity 1: Watch: http://www.mathsisfun.com/geometry/dimensions.html OBJECT Point # of DIMENSIONS CHARACTERISTICS location, length,
More informationWarm-Up Exercises. 1. Draw an acute angle and shade the interior. ANSWER. 2. Find the measure of the supplement of a 130º angle.
Warm-Up Exercises 1. Draw an acute angle and shade the interior. ANSWER 2. Find the measure of the supplement of a 130º angle. ANSWER 50 3. Find the measure of the complement of an 86 angle. ANSWER 4 1.6
More informationGeometry Lesson 1 Introduction to Geometry (Grades 9-12) Instruction 1-5 Definitions of Figures
efinitions of igures Quadrilaterals Quadrilaterals are closed four-sided figures. The interior angles of a quadrilateral always total 360. Quadrilaterals classified in two groups: Trapeziums and Trapezoids.
More informationExamples: Identify the following as equilateral, equiangular or regular. Using Variables: S = 180(n 2)
Ch. 6 Notes 6.1: Polygon Angle-Sum Theorems Examples: Identify the following as equilateral, equiangular or regular. 1) 2) 3) S = 180(n 2) Using Variables: and Examples: Find the sum of the interior angles
More informationUnit Goals Stage 1. Number of Days: 14 days 1/29/18-2/16/18
Number of : 14 1/29/18-2/16/18 Unit Goals Stage 1 Unit Description: Drawing on our knowledge of the definitions of special quadrilaterals and a few of their properties, students will now prove those properties
More informationMathematics Success Level E
T877 [OBJECTIVE] The student will classify two-dimensional figures based on properties. [PREREQUISITE SKILLS] Lesson 29, knowledge of basic geometry terminology including: parallel sides, congruent sides,
More informationHomework Review: 4-17 to 4-22
Homework Review: 4-17 to 4-22 4-21 Since the slope ratio for 11 0.2, AB 50'. The slope ratio for 68 2.5, so BC 4', segment AB is actually longer. 4-22 a. 12 b. Yes c. 6/12 = 1/2; 8/12 = 2/3 Warm-Up: In
More information7.1 Interior and Exterior Angles
Name Class Date 7.1 Interior and Exterior ngles Essential Question: What can you say about the interior and exterior angles of a triangle and other polygons? Resource Locker Explore 1 Exploring Interior
More informationAssignment. Quilting and Tessellations Introduction to Quadrilaterals. List all of the types of quadrilaterals that have the given characteristics.
Assignment Assignment for Lesson.1 Name Date Quilting and Tessellations Introduction to Quadrilaterals List all of the types of quadrilaterals that have the given characteristics. 1. four right angles
More informationEssential Questions Content Skills Assessments Standards/PIs Resources/Notes. Restates a nonmathematical. using logic notation
Map: Geometry R+ Type: Consensus Grade Level: 10 School Year: 2011-2012 Author: Jamie Pietrantoni District/Building: Island Trees/Island Trees High School Created: 05/10/2011 Last Updated: 06/28/2011 Essential
More informationGeometry Fall Final Review 2016
Geometry Fall Final Review 2016 Name: Per: The Fall Final Exam will count as 25% of your semester average that is as much as an entire 6 weeks avg! *Review Problems: In order to be fully prepared for AND
More informationLesson 13: Angle Sum of a Triangle
Student Outcomes Students know the Angle Sum Theorem for triangles; the sum of the interior angles of a triangle is always 180. Students present informal arguments to draw conclusions about the angle sum
More informationGEOMETRY. Chapter 4: Triangles. Name: Teacher: Pd:
GEOMETRY Chapter 4: Triangles Name: Teacher: Pd: Table of Contents DAY 1: (Ch. 4-1 & 4-2) Pgs: 1-5 Pgs: 6-7 SWBAT: Classify triangles by their angle measures and side lengths. Use triangle classification
More informationProving Theorems about Lines and Angles
Proving Theorems about Lines and Angles Angle Vocabulary Complementary- two angles whose sum is 90 degrees. Supplementary- two angles whose sum is 180 degrees. Congruent angles- two or more angles with
More information6.1 What is a Polygon?
6. What is a Polygon? Unit 6 Polygons and Quadrilaterals Regular polygon - Polygon Names: # sides Name 3 4 raw hexagon RPTOE 5 6 7 8 9 0 Name the vertices: Name the sides: Name the diagonals containing
More informationAny questions about the material so far? About the exercises?
Any questions about the material so far? About the exercises? Here is a question for you. In the diagram on the board, DE is parallel to AC, DB = 4, AB = 9 and BE = 8. What is the length EC? Polygons Definitions:
More informationThomas Jefferson High School for Science and Technology Program of Studies TJ Math 1
Course Description: This course is designed for students who have successfully completed the standards for Honors Algebra I. Students will study geometric topics in depth, with a focus on building critical
More informationGeometry Unit 3: Similarity, Proof, and Polygons (Gr. 9-11)
Geometry Unit 3: Similarity, Proof, and Polygons (Gr. 9-11) Content Area: Course(s): Time Period: Length: Status: Mathematics Geometry 2nd Marking Period 10 Weeks Published Unit Overview This unit opens
More information2.4 Angle Properties in Polygons.notebook. October 27, 2013 ENTRANCE SLIP
ENTRANCE SLIP If you are given one interior angle and one exterior angle of a triangle, can you always determine the other interior angles of the triangle? Explain, using diagrams. 1 2.4 Angle Properties
More information7.1 Interior and Exterior Angles
Name Class Date 7.1 Interior and Exterior ngles Essential Question: What can you say about the interior and exterior angles of a triangle and other polygons? G.6.D Verify theorems about the relationships
More informationMathematics Concepts 2 Exam 1 Version 4 21 September 2018
Mathematics Concepts 2 Exam 1 Version 4 21 September 2018 Name: Permissible Aides: The small ruler distributed by the proctor Prohibited: Class Notes Class Handouts Study Guides and Materials The Book
More informationPolygons, Congruence, Similarity Long-Term Memory Review Grade 8 Review 1
Review 1 1. In the diagram below, XYZ is congruent to CDE XYZ CDE. Y D E X Z C Complete the following statements: a) C b) XZ c) CDE d) YZ e) Z f) DC 2. In the diagram below, ABC is similar to DEF ABC DEF.
More information4.0 independently go beyond the classroom to design a real-world connection with polygons that represents a situation in its context.
ANDERSON Lesson plans!!! Intro to Polygons 10.17.16 to 11.4.16 Level SCALE Intro to Polygons Evidence 4.0 independently go beyond the classroom to design a real-world connection with polygons that represents
More informationheptagon; not regular; hexagon; not regular; quadrilateral; convex concave regular; convex
10 1 Naming Polygons A polygon is a plane figure formed by a finite number of segments. In a convex polygon, all of the diagonals lie in the interior. A regular polygon is a convex polygon that is both
More information6.1: Date: Geometry. Polygon Number of Triangles Sum of Interior Angles
6.1: Date: Geometry Polygon Number of Triangles Sum of Interior Angles Triangle: # of sides: # of triangles: Quadrilateral: # of sides: # of triangles: Pentagon: # of sides: # of triangles: Hexagon: #
More informationUnit 10 Study Guide: Plane Figures
Unit 10 Study Guide: Plane Figures *Be sure to watch all videos within each lesson* You can find geometric shapes in art. Whether determining the amount of leading or the amount of glass needed for a piece
More informationPolygon. Note: Each segment is called a side. Each endpoint is called a vertex.
Polygons Polygon A closed plane figure formed by 3 or more segments. Each segment intersects exactly 2 other segments at their endpoints. No 2 segments with a common endpoint are collinear. Note: Each
More informationUnit 6 Polygons and Quadrilaterals
6.1 What is a Polygon? A closed plane figure formed by segments that intersect only at their endpoints Regular Polygon- a polygon that is both equiangular and equilateral Unit 6 Polygons and Quadrilaterals
More information4-1. Classifying Triangles. Lesson 4-1. What You ll Learn. Active Vocabulary
4-1 Classifying Triangles What You ll Learn Scan Lesson 4-1. Predict two things that you expect to learn based on the headings and the Key Concept box. 1. Active Vocabulary 2. New Vocabulary Label the
More informationGeometry Unit 2 Test , 3.8,
Name: Class: Date: ID: A Geometry Unit 2 Test - 3.1-3.5, 3.8, 9.1-9.3 Short Answer - You are allowed to use your notes and calculator. No cell phones.good luck! 1. Line r is parallel to line t. Find m
More informationSection 9.1. Points, Lines, Planes, and Angles. Copyright 2013, 2010, 2007, Pearson, Education, Inc.
Section 9.1 Points, Lines, Planes, and Angles What You Will Learn Points Lines Planes Angles 9.1-2 Basic Terms A point, line, and plane are three basic terms in geometry that are NOT given a formal definition,
More informationUnit 3 Geometry. Chapter 7 Geometric Relationships Chapter 8 Measurement Relationships Chapter 9 Optimizing Measurements MPM1D
Unit 3 Geometry Chapter 7 Geometric Relationships Chapter 8 Measurement Relationships Chapter 9 Optimizing Measurements MPM1D Chapter 7 Outline Section Subject Homework Notes Lesson and Homework Complete
More informationLesson Polygons
Lesson 4.1 - Polygons Obj.: classify polygons by their sides. classify quadrilaterals by their attributes. find the sum of the angle measures in a polygon. Decagon - A polygon with ten sides. Dodecagon
More informationChapter 3 Final Review
Class: Date: Chapter 3 Final Review Multiple Choice Identify the choice that best completes the statement or answers the question. Find the sum of the interior angle measures of the polygon. 1. a. 360
More informationAnswer Key Lesson 6: Classifying Shapes
Student Guide The Flatopia Polygon Zoo Professor Peabody had a dream that he lived in a two-dimensional town called Flatopia. There were two-dimensional creatures in town, all shaped like polygons. Help
More informationU4 Polygon Notes January 11, 2017 Unit 4: Polygons
Unit 4: Polygons 180 Complimentary Opposite exterior Practice Makes Perfect! Example: Example: Practice Makes Perfect! Def: Midsegment of a triangle - a segment that connects the midpoints of two sides
More informationMath 310 Test #2 Spring 2008 B. Noble
Math 310 Test #2 Spring 2008 B. Noble 1. (1 pt each) Matching 1. Collinear points; 2. Concurrent lines; 3. Noncoplanar points; 4. Skew lines; 5. Coplanar A. Lines in the same plane are: 5 B. Lines that
More information1. Revision Description Reflect and Review Teasers Answers Recall of basics of triangles, polygons etc. Review Following are few examples of polygons:
1. Revision Recall of basics of triangles, polygons etc. The minimum number of line segments required to form a polygon is 3. 1) Name the polygon formed with 4 line segments of equal length. 1) Square
More informationAnswer Key Lesson 6: Classifying Shapes
Student Guide The Flatopia Polygon Zoo Professor Peabody had a dream that he lived in a two-dimensional town called Flatopia. There were two-dimensional creatures in town, all shaped like polygons. Help
More information1-1. Calculate the values of the expressions below. Show all steps in your process.
1-1. Calculate the values of the expressions below. Show all steps in your process. a. 2 (3(5 + 2) 1) b. 6 2(4 + 5) + 6 c. 3 8 2 2 + 1 d. 5 2 3 + 6(3 2 + 1) 1-2. Simplify the expressions below as much
More informationTopic: Geometry Gallery Course: Mathematics 1
Student Learning Map Unit 3 Topic: Geometry Gallery Course: Mathematics 1 Key Learning(s): Unit Essential Question(s): 1. The interior and exterior angles of a polygon can be determined by the number of
More information7.1 Interior and Exterior Angles
COMMON CORE Locker l LESSON 7. Interior and Exterior ngles Name Class Date 7. Interior and Exterior ngles Essential Question: What can you say about the interior and exterior angles of a triangle and other
More informationPrentice Hall CME Project Geometry 2009
Prentice Hall CME Project Geometry 2009 Geometry C O R R E L A T E D T O from March 2009 Geometry G.1 Points, Lines, Angles and Planes G.1.1 Find the length of line segments in one- or two-dimensional
More informationGEOMETRY Chapter 4 Lesson Plan: Triangle Congruence
GEOMETRY Chapter 4 Lesson Plan: Triangle Congruence Name Per. Chapter 3 Test 4.1 Learning Goal: I can Read through Lesson 4-2 and fill in study classify triangles by using guide. (pgs.223-226) their angle
More informationRectilinear Figures. Introduction
2 Rectilinear Figures Introduction If we put the sharp tip of a pencil on a sheet of paper and move from one point to the other, without lifting the pencil, then the shapes so formed are called plane curves.
More informationAN INNOVATIVE ANALYSIS TO DEVELOP NEW THEOREMS ON IRREGULAR POLYGON
International Journal of Physics and Mathematical Sciences ISSN: 77-111 (Online) 013 Vol. 3 (1) January-March, pp.73-81/kalaimaran AN INNOVATIVE ANALYSIS TO DEVELOP NEW THEOREMS ON IRREGULAR POLYGON *Kalaimaran
More informationDates, assignments, and quizzes subject to change without advance notice. Monday Tuesday Block Day Friday & 6-3.
Name: Period P UNIT 11: QURILTERLS N POLYONS I can define, identify and illustrate the following terms: Quadrilateral Parallelogram Rhombus Rectangle Square Trapezoid Isosceles trapezoid Kite oncave polygon
More informationThe Iranian tile pattern at the right shows several polygons. These polygons can be classified as convex or concave. interior
Page 1 of 5 8.1 Classifying Polygons Goal Describe polygons. Key Words convex concave equilateral equiangular regular The Iranian tile pattern at the right shows several polygons. These polygons can be
More informationGeometry Unit 5 - Notes Polygons
Geometry Unit 5 - Notes Polygons Syllabus Objective: 5.1 - The student will differentiate among polygons by their attributes. Review terms: 1) segment 2) vertex 3) collinear 4) intersect Polygon- a plane
More informationProperties of Angles and Triangles. Outcomes: G1 Derive proofs that involve the properties of angles and triangles.
Properties of Angles and Triangles Outcomes: G1 Derive proofs that involve the properties of angles and triangles. Achievement Indicators: Generalize, using inductive reasoning, the relationships between
More informationAngle Unit Definitions
ngle Unit Definitions Name lock Date Term Definition Notes Sketch D djacent ngles Two coplanar angles with a coon side, a coon vertex, and no coon interior points. Must be named with 3 letters OR numbers
More informationAngles of Polygons. b. Draw other polygons and find the sums of the measures of their interior angles. Record your results in the table below.
7.1 TEXS ESSENTIL KNOWLEGE N SKILLS G.5. ngles of Polygons Essential Question What is the sum of the measures of the interior angles of a polygon? of the exterior angles of a polygon? Interior ngle Measures
More informationUNIT 1 SIMILARITY, CONGRUENCE, AND PROOFS Lesson 10: Proving Theorems About Parallelograms Instruction
Prerequisite Skills This lesson requires the use of the following skills: applying angle relationships in parallel lines intersected by a transversal applying triangle congruence postulates applying triangle
More informationSOL 6.13 Quadrilaterals
SOL 6.13 Quadrilaterals 6.13 The student will describe and identify properties of quadrilaterals. Understanding the Standard: A quadrilateral is a closed planar (two-dimensional) figure with four sides
More informationGEOMETRY is the study of points in space
CHAPTER 5 Logic and Geometry SECTION 5-1 Elements of Geometry GEOMETRY is the study of points in space POINT indicates a specific location and is represented by a dot and a letter R S T LINE is a set of
More informationUNIT 6: Connecting Algebra & Geometry through Coordinates
TASK: Vocabulary UNIT 6: Connecting Algebra & Geometry through Coordinates Learning Target: I can identify, define and sketch all the vocabulary for UNIT 6. Materials Needed: 4 pieces of white computer
More informationGeometry. Kites Families of Quadrilaterals Coordinate Proofs Proofs. Click on a topic to
Geometry Angles of Polygons Properties of Parallelograms Proving Quadrilaterals are Parallelograms Constructing Parallelograms Rhombi, Rectangles and Squares Kites Families of Quadrilaterals Coordinate
More informationClick the mouse button or press the Space Bar to display the answers.
Click the mouse button or press the Space Bar to display the answers. 9-4 Objectives You will learn to: Identify regular tessellations. Vocabulary Tessellation Regular Tessellation Uniform Semi-Regular
More information4 Triangles and Congruence
www.ck12.org CHAPTER 4 Triangles and Congruence Chapter Outline 4.1 TRIANGLE SUMS 4.2 CONGRUENT FIGURES 4.3 TRIANGLE CONGRUENCE USING SSS AND SAS 4.4 TRIANGLE CONGRUENCE USING ASA, AAS, AND HL 4.5 ISOSCELES
More informationStudent Mathematician: Date: Some, All or None Tell whether each statement below is true or false by circling the correct answer. If the statement is false, give a counterexample using words and/or pictures.
More informationH.Geometry Chapter 4 Definition Sheet
Section 4.1 Triangle Sum Theorem The sum of the measure of the angles in a triangle is Conclusions Justification Third Angle Theorem If two angles in one triangle are to two angles in another triangle,
More informationAngle Unit Definition Packet
ngle Unit Definition Packet Name lock Date Term Definition Notes Sketch djacent ngles Two angles with a coon, a coon you normay name and, and no coon interior points. 3 4 3 and 4 Vertical ngles Two angles
More informationConnecticut Curriculum Design Unit Planning Organizer Grade 8 Mathematics Congruence and Similarity
Pacing: 3 weeks Mathematical Practices Mathematical Practices #1 and #3 describe a classroom environment that encourages thinking mathematically and are critical for quality teaching and learning. Practices
More informationChapter Review. In the figure shown, m n and r is a transversal. If m 4 = 112, find the measure of each angle. Explain your reasoning.
In the figure shown, m n and r is a transversal. If m 4 = 112, find the measure of each angle. Explain your reasoning. 1. 6 Since 4 and 6 are alternate interior angles, they are congruent. So, m 6 = 112.
More informationPerformance Objectives Develop dictionary terms and symbols
Basic Geometry Course Name: Geometry Unit: 1 Terminology & Fundamental Definitions Time Line: 4 to 6 weeks Building Blocks of Geometry Define & identify point, line, plane angle, segment, ray, midpoint,
More informationGrade 8 Math WORKBOOK UNIT 1 : POLYGONS. Are these polygons? Justify your answer by explaining WHY or WHY NOT???
Grade 8 Math WORKBOOK UNIT 1 : POLYGONS Are these polygons? Justify your answer by explaining WHY or WHY NOT??? a) b) c) Yes or No Why/Why not? Yes or No Why/Why not? Yes or No Why/Why not? a) What is
More informationCopyright 2009 Pearson Education, Inc. Chapter 9 Section 1 Slide 1 AND
Copyright 2009 Pearson Education, Inc. Chapter 9 Section 1 Slide 1 AND Chapter 9 Geometry Copyright 2009 Pearson Education, Inc. Chapter 9 Section 1 Slide 2 WHAT YOU WILL LEARN Points, lines, planes, and
More informationMCPS Geometry Pacing Guide Jennifer Mcghee
Units to be covered 1 st Semester: Units to be covered 2 nd Semester: Tools of Geometry; Logic; Constructions; Parallel and Perpendicular Lines; Relationships within Triangles; Similarity of Triangles
More informationLines Plane A flat surface that has no thickness and extends forever.
Lines Plane A flat surface that has no thickness and extends forever. Point an exact location Line a straight path that has no thickness and extends forever in opposite directions Ray Part of a line that
More informationHW Check. February 13, 2017
HW Check 9-79 b. It got longer. c. Although the change is minute, the line segment got a little longer. d. It is possible, although not using Karen s incremental strategy. One way: Construct a hypotenuse
More informationChapter 6 Practice Test
Find the sum of the measures of the interior angles of each convex polygon. 1. hexagon A hexagon has six sides. Use the Polygon Interior Angles Sum Theorem to find the sum of its interior angle measures.
More information