Click the mouse button or press the Space Bar to display the answers.
|
|
|
- Violet Dorsey
- 6 years ago
- Views:
Transcription
1 Click the mouse button or press the Space Bar to display the answers.
2
3 9-4 Objectives You will learn to: Identify regular tessellations.
4 Vocabulary Tessellation Regular Tessellation Uniform Semi-Regular Tessellation
5 Tessellation A tessellation, or tiling, is a repeating pattern that completely covers a plane with no gaps or overlaps. The measures of the angles that meet at each vertex must add up to 360. In the tessellation shown, each angle of the quadrilateral occurs once at each vertex. Because the angle measures of any quadrilateral add to 360, any quadrilateral can be used to tessellate the plane. Four copies of the quadrilateral meet at each vertex.
6 Triangle Tessellation The angle measures of any triangle add up to 180. This means that any triangle can be used to tessellate a plane. Six copies of the triangle meet at each vertex as shown.
7 Regular A regular tessellation is formed by congruent regular polygons. Regular tessellation
8 Regular Polygons Which regular polygons tessellate? Regular Polygon Triangle Square Pentagon Hexagon Heptagon Octagon Measure of one Interior Angle Does it tessellate? yes yes no yes no no
9 Determine whether a regular 16-gon tessellates the plane. Explain. Let 1 represent one interior angle of a regular 16-gon. m 1 Interior Angle Theorem Substitution Simplify. Answer: Since is not a factor of 360, a 16-gon will not tessellate the plane.
10 Determine whether a regular 20-gon tessellates the plane. Explain. Answer: No; 162 is not a factor of 360.
11 Uniform A tessellation pattern can contain any type of polygon. Tessellations containing the same arrangement of shapes and angles at each vertex are called uniform. This tessellation is not uniform. See the different arrangement of shapes at the different vertexes.
12 Semiregular A semiregular tessellation is formed by two or more different regular polygons, with the same number of each polygon occurring in the same order at every vertex. Semiregular tessellation Every vertex has two squares and three triangles in this order: square, triangle, square, triangle, triangle.
13 Determine whether a semi-regular tessellation can be created from regular nonagons and squares, all having sides 1 unit long. Solve algebraically. Each interior angle of a regular nonagon measures or 140. Each angle of a square measures 90. Find whole-number values for n and s such that All whole numbers greater than 3 will result in a negative value for s.
14 Substitution Simplify. Subtract from each side. Divide each side by 90. Answer: There are no whole number values for n and s so that 140n + 90s = 360.
15 Determine whether a semi-regular tessellation can be created from regular hexagon and squares, all having sides 1 unit long. Explain. Answer: No; there are no whole number values for h and s such that 120h + 90s = 360.
16 STAINED GLASS Stained glass is a very popular design selection for church and cathedral windows. It is also fashionable to use stained glass for lampshades, decorative clocks, and residential windows. Determine whether the pattern is a tessellation. If so, describe it as uniform, regular, semiregular, or not uniform. Answer: The pattern is a tessellation because at the different vertices the sum of the angles is 360. The tessellation is not uniform because each vertex does not have the same arrangement of shapes and angles.
17 STAINED GLASS Stained glass is a very popular design selection for church and cathedral windows. It is also fashionable to use stained glass for lampshades, decorative clocks, and residential windows. Determine whether the pattern is a tessellation. If so, describe it as uniform, regular, semi-regular, or not uniform. Answer: tessellation, not uniform
18 What did you learn today? How to: Identify regular tessellations.
19 Assignment: Page odd, 42, 48, 52
Main Idea: classify polygons and determine which polygons can form a tessellation.
10 8: Polygons and Tesselations Main Idea: classify polygons and determine which polygons can form a tessellation. Vocabulary: polygon A simple closed figure in a plane formed by three or more line segments
PLC Papers Created For:
PLC Papers Created For: Year 10 Topic Practice Papers: Polygons Polygons 1 Grade 4 Look at the shapes below A B C Shape A, B and C are polygons Write down the mathematical name for each of the polygons
Tilings of the plane. Math 311. Handout /5/08. Regular Tilings
Math 11. Handout 19. 11/5/08 Tilings of the plane Name: A tiling of the plane is an arrangement of polygons fitting together to cover the plane without leaving any gaps or overlapping. The tiles fit edge
Tessellations. Irena Swanson Reed College, Portland, Oregon. MathPath, Lewis & Clark College, Portland, Oregon, 24 July 2018
Tessellations Irena Swanson Reed College, Portland, Oregon MathPath, Lewis & Clark College, Portland, Oregon, 24 July 2018 What is a tessellation? A tiling or a tessellation of the plane is a covering
Polygon Angle-Sum Theorem:
Name Must pass Mastery Check by: [PACKET 5.1: POLYGON -SUM THEOREM] 1 Write your questions here! We all know that the sum of the angles of a triangle equal 180. What about a quadrilateral? A pentagon?
Helpful Hint When you are given a frieze pattern, you may assume that the pattern continues forever in both directions Notes: Tessellations
A pattern has translation symmetry if it can be translated along a vector so that the image coincides with the preimage. A frieze pattern is a pattern that has translation symmetry along a line. Both of
Warm-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
6-1 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
Lesson 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
Chapter 9 Transformations
Section 9-1: Reflections SOL: G.2 The student will use pictorial representations, including computer software, constructions, and coordinate methods, to solve problems involving smmetr and transformation.
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
DATE PERIOD. Lesson Reading Guide
NAME DATE PERIOD Lesson Reading Guide Get Ready for the Lesson Read the introduction at the top of page 316 in your textbook. Write your answers below. 1. Predict the number of triangles and the sum of
H.Geometry Chapter 7 Definition Sheet
Section 7.1 (Part 1) Definition of: - A mapping of points in a figure to points in a resulting figure - Manipulating an original figure to get a new figure - The original figure - The resulting figure
Objectives. 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
Unit 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
What is a tessellation???? Give an example... Daily Do from last class Homework Answers 10 7 These are similar: What does y =? x =?
Daily Do from last class Homework Answers 10 7 These are similar: What does y =? x =? 36 74 0 78 0 154 o 44 48 54 o y x 154 o 78 0 12 74 0 9 1. 8 ft 2. 21m 3. 21 ft 4. 30cm 5. 6mm 6. 16 in 7. yes 9 = 7
6 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
Tessellations: Wallpapers, Escher & Soccer Balls. Robert Campbell
Tessellations: Wallpapers, Escher & Soccer Balls Robert Campbell Tessellation Examples What Is What is a Tessellation? A Tessellation (or tiling) is a pattern made by copies of one or
Any 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:
14. 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.
Review 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
Angles, Polygons, Circles
Page 1 of 5 Part One Last week we learned about the angle properties of circles and used them to solve a simple puzzle. This week brings a new puzzle that will make us use our algebra a bit more. But first,
Angles 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.
Cambridge 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
Points, Lines, Planes, and Angles pp
LESSON 5-1 Points, Lines, Planes, and Angles pp. 222 224 Vocabulary point (p. 222) line (p. 222) plane (p. 222) segment (p. 222) ray (p. 222) angle (p. 222) right angle (p. 223) acute angle (p. 223) obtuse
heptagon; 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
Skill: Polygons. Vocabulary: Polygon a closed two-dimensional figure with straight edges
Skill: Polygons Standard: 5.13.a ~ The student, using plane figures (square, rectangle, triangle, parallelogram, rhombus, and trapezoid), will develop definitions of these plane figures; 5.13.b ~ The student,
Warm-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
Lines 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
Boardworks Ltd KS3 Mathematics. S1 Lines and Angles
1 KS3 Mathematics S1 Lines and Angles 2 Contents S1 Lines and angles S1.1 Labelling lines and angles S1.2 Parallel and perpendicular lines S1.3 Calculating angles S1.4 Angles in polygons 3 Lines In Mathematics,
Geometry 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.
Convex 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.
Lesson 2. Investigation. Name: a. Identify the shape of the sign and describe the symmetries
Check Your Understanding Being able to recognize traffic signs by their shape and color is important when Unit driving 6and is often tested on exams for a driver s license. Examine the school crossing
Math 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.
8 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
Geometry of Art and Nature
School of the Art Institute of Chicago Geometry of Art and Nature Frank Timmes ftimmes@artic.edu flash.uchicago.edu/~fxt/class_pages/class_geom.shtml Syllabus 1 Sept 03 Basics and Celtic Knots 2 Sept 10
4-8 Notes. Warm-Up. Discovering the Rule for Finding the Total Degrees in Polygons. Triangles
Date: Learning Goals: How do you find the measure of the sum of interior and exterior angles in a polygon? How do you find the measures of the angles in a regular polygon? Warm-Up 1. What is similar about
ame Date Class Practice A 11. What is another name for a regular quadrilateral with four right angles?
ame Date Class Practice A Polygons Name each polygon. 1. 2. 3. 4. 5. 6. Tell whether each polygon appears to be regular or not regular. 7. 8. 9. 10. What is another name for a regular triangle? 11. What
Angles 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
TESSELLATION. For me it remains an open question whether [this work] pertains to the realm of mathematics or to that of art. M.C.
![TESSELLATION. For me it remains an open question whether [this work] pertains to the realm of mathematics or to that of art. M.C.](/thumbs/78/77863811.jpg "TESSELLATION. For me it remains an open question whether [this work] pertains to the realm of mathematics or to that of art. M.C.")
TESSELLATION For me it remains an open question whether [this work] pertains to the realm of mathematics or to that of art. M.C. Escher Activity 1: Guessing the lesson Doc. 1 Word Cloud 1) What do you
Vocabulary. Term Page Definition Clarifying Example. center of dilation. composition of transformations. enlargement. glide reflection.
CHAPTER 12 Vocabulary The table contains important vocabulary terms from Chapter 12. As you work through the chapter, fill in the page number, definition, and a clarifying example. center of dilation Term
Polygons. Name each polygon Find the sum of the angle measures in each figure
Practice A Polygons Name each polygon. 1. 2. 3. Find the sum of the angle measures in each figure. 4. 5. 6. 7. 8. 9. Find the angle measures in each regular polygon. 10. 11. 12. 13. 14. 15. Give all the
Geometry 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
Polygon. 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
Explore 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
7-3 Parallel and Perpendicular Lines
7-3 Parallel and Perpendicular Lines Interior Angles: Exterior Angles: Corresponding Angles: Vertical Angles: Supplementary Angles: 1 2 3 4 5 6 7 8 Complimentary Angles: 7-3 Parallel and Perpendicular
Geometry 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 -
Points, 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
Lesson 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
Circles and Polygons Long-Term Memory Review Review 1 (Note: Figures are not drawn to scale.)
Review 1 (Note: Figures are not drawn to scale.) 1. Fill in the lank: In circle below, the angle shown is a/an angle. 2. The measure of a central angle and the measure of the arc that it intersects are
Worksheet 30: Wednesday April 22 Tessselations: Tiling The Plane
Definition Worksheet 30: Wednesday April 22 Tessselations: Tiling The Plane A tiling of the plane or tesselation is a pattern that covers the plane with non-overlapping figures A periodic tiling is one
15. First make a parallelogram by rotating the original triangle. Then tile with the Parallelogram.
Shapes and Designs: Homework Examples from ACE Investigation 1: Question 15 Investigation 2: Questions 4, 20, 24 Investigation 3: Questions 2, 12 Investigation 4: Questions 9 12, 22. ACE Question ACE Investigation
Polygons. L E S S O N 1.4
Page 1 of 5 L E S S O N 1.4 Polygons A polygon is a closed figure in a plane, formed by connecting line segments endpoint to endpoint with each segment intersecting exactly two others. Each line segment
Ch. 7 Test. 1. Find the sum of the measures of the interior angles of the given figure.
h. 7 Test 1. Find the sum of the measures of the interior angles of the given figure. a. 900 c. 70 b. 10 d. 1080. The sum of the measures of the interior angles of a polygon is 10. lassify the polygon
We can use square dot paper to draw each view (top, front, and sides) of the three dimensional objects:
Unit Eight Geometry Name: 8.1 Sketching Views of Objects When a photo of an object is not available, the object may be drawn on triangular dot paper. This is called isometric paper. Isometric means equal
SHAPE AND STRUCTURE. Shape and Structure. An explanation of Mathematical terminology
Shape and Structure An explanation of Mathematical terminology 2005 1 POINT A dot Dots join to make lines LINE A line is 1 dimensional (length) A line is a series of points touching each other and extending
2.4 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
Chapter 10 Polygons and Area
Geometry Concepts Chapter 10 Polygons and Area Name polygons according to sides and angles Find measures of interior angles Find measures of exterior angles Estimate and find areas of polygons Estimate
Term Definition Figure
Notes LT 1.1 - Distinguish and apply basic terms of geometry (coplanar, collinear, bisectors, congruency, parallel, perpendicular, etc.) Term Definition Figure collinear on the same line (note: you do
U4 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
6.7 Regular Polygons
6.7 Regular Polygons Dec 13 3:08 PM 1 Recall, what is a polygon? A union of segments in the same plane such that each segment intersects two others, one at each of its endpoints Dec 13 3:13 PM 2 Define
9.5 Classifying Polygons
www.ck12.org Chapter 9. Geometric Figures 9.5 Classifying Polygons Introduction The Sculpture Courtesy of Martin Fuchs Marc, Isaac and Isabelle continue to work on their design for the skatepark. Isabelle
Worksheet 29: Friday November 20 Tessellations: Tiling The Plane
Definition Worksheet 29: Friday November 20 Tessellations: Tiling The Plane A tiling of the plane or tesselation is a pattern that covers the plane with non-overlapping figures A periodic tiling is one
M8WSB-C07.qxd 4/4/08 7:00 PM Page NEL
8 NEL GOAL Chapter 7 Tessellations You will be able to use angle measurements to identify regular and irregular polygons that might tessellate identify and describe translations, reflections, or rotations
Name Date Class. The Polygon Angle Sum Theorem states that the sum of the interior angle measures of a convex polygon with n sides is (n 2)180.
Name Date Class 6-1 Properties and Attributes of Polygons continued The Polygon Angle Sum Theorem states that the sum of the interior angle measures of a convex polygon with n sides is (n 2)180. Convex
Secondary Math II Honors. Unit 4 Notes. Polygons. Name: Per:
Secondary Math II Honors Unit 4 Notes Polygons Name: Per: Day 1: Interior and Exterior Angles of a Polygon Unit 4 Notes / Secondary 2 Honors Vocabulary: Polygon: Regular Polygon: Example(s): Discover the
GCSE. ANGLES IN POLYGONS [ESTIMATED TIME: 60 minutes] (+ IGCSE) EXAM QUESTION PRACTICE 1. [4 marks] Diagram NOT accurately drawn
![GCSE. ANGLES IN POLYGONS [ESTIMATED TIME: 60 minutes] (+ IGCSE) EXAM QUESTION PRACTICE 1. [4 marks] Diagram NOT accurately drawn](/thumbs/79/80226527.jpg "GCSE. ANGLES IN POLYGONS [ESTIMATED TIME: 60 minutes] (+ IGCSE) EXAM QUESTION PRACTICE 1. [4 marks] Diagram NOT accurately drawn")
ANGLES IN POLYGONS [ESTIMATED TIME: 60 minutes] GCSE (+ IGCSE) EXAM QUESTION PRACTICE 1. [4 marks] x The diagram shows a regular 5-sided polygon. (a) Work out the value of x. x =... (2) y The diagram shows
Click 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. 11-3 Objectives You will learn to: You will learn to find the area of a regular polygon. Vocabulary Center of a regular polygon Apothem
Polygons and Angles. Polygons and Angles. Solutions. Curriculum Ready.
Polygons and Angles Polygons and Angles Curriculum Ready www.mathletics.com Basics Page 3 questions 1. Circle the shapes that are polygons: 2. Name these polygons (based on the number of sides) and state
The National Strategies Secondary Mathematics exemplification: Y8, 9
Mathematics exemplification: Y8, 9 183 As outcomes, Year 8 pupils should, for example: Understand a proof that the sum of the angles of a triangle is 180 and of a quadrilateral is 360, and that the exterior
Chapter 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.
1.6 Classifying Polygons
www.ck12.org Chapter 1. Basics of Geometry 1.6 Classifying Polygons Learning Objectives Define triangle and polygon. Classify triangles by their sides and angles. Understand the difference between convex
(Fun Night at the Museum Task)
(Fun Night at the Museum Task) Name: The Asimov Museum has contracted with a company that provides Robotic Security Squads to guard the exhibits during the hours the museum is closed. The robots are designed
First we need a more precise, rigorous definition:
Lesson 21 Lesson 20, page 1 of 8 Glencoe Geometry Chapter 10.1 Polygons & Area We have been working with special types of polygons throughout the year. Rectangles, Squares, Trapezoids, and, yes, Triangles
Chapter 20 Tilings For All Practical Purposes: Effective Teaching Chapter Briefing Chapter Topics to the Point Tilings with Regular Polygons
Chapter 20 Tilings For All Practical Purposes: Effective Teaching With this day and age of technology, most students are adept at using E-mail as a form of communication. Many institutions automatically
UNIT 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
Unit 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
Geometry Reasons for Proofs Chapter 1
Geometry Reasons for Proofs Chapter 1 Lesson 1.1 Defined Terms: Undefined Terms: Point: Line: Plane: Space: Postulate 1: Postulate : terms that are explained using undefined and/or other defined terms
Copyright 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
Quarter 1 Study Guide Honors Geometry
Name: Date: Period: Topic 1: Vocabulary Quarter 1 Study Guide Honors Geometry Date of Quarterly Assessment: Define geometric terms in my own words. 1. For each of the following terms, choose one of the
Robot 4. Robot 2 Robot 3. Try measuring the angles on the following pages using a protractor or using the Geometer s Sketchpad animation found at
Sec 2.9 Geometry Polygon Angles Name: The Asimov Museum has contracted with a company that provides Robotic Security Squads to guard the exhibits during the hours the museum is closed. The robots are designed
L9.5 Welcome Back! 1
L9.5 Welcome Back! 1 2 3 A blast from the past... L9.5 Label the following parts: Center Radius Apothem Center angle Side 4 A blast from the past... L9.5 Label the following parts: Center Radius Apothem
Assignment. 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
Polygons. Discuss with a partner what a POLYGON is. Write down the key qualities a POLYGON has. Share with the class what a polygon is?
Polygons Use a ruler to draw 3 different POLYGONS Discuss with a partner what a POLYGON is Write down the key qualities a POLYGON has Share with the class what a polygon is? *Can you find the area of each
Draw and Classify 3-Dimensional Figures
Introduction to Three-Dimensional Figures Draw and Classify 3-Dimensional Figures Identify various three-dimensional figures. Course 2 Introduction to Three-Dimensional Figures Insert Lesson Title Here
Fun with Diagonals. 1. Now draw a diagonal between your chosen vertex and its non-adjacent vertex. So there would be a diagonal between A and C.
Name Date Fun with Diagonals In this activity, we will be exploring the different properties of polygons. We will be constructing polygons in Geometer s Sketchpad in order to discover these properties.
Reporting Category 3. Geometry and Measurement BINGO
Reporting Category 3 Geometry and Measurement BINGO names an exact location in space, named by a capital letter Has NO width, length, or depth. 2 a straight path with 2 endpoints, has a definite beginning
Angles 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
10-2. Warm Up Lesson Presentation Lesson Quiz. Holt McDougal Geometry
Warm Up Lesson Presentation Lesson Quiz Geometry Warm Up Find the unknown side lengths in each special right triangle. 1. a 30-60 -90 triangle with hypotenuse 2 ft 2. a 45-45 -90 triangle with leg length
Mathematics 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
Tessellations: The Importance of Symmetry. Although tessellations have been traced back to ancient human cultures and are
Abbie Wold Math 300 May 2, 2002 Tessellations: The Importance of Symmetry HISTORY Although tessellations have been traced back to ancient human cultures and are found in the natural world, they have had
Polygons. Discuss with a partner what a POLYGON is. Write down the key qualities a POLYGON has. Share with the class what a polygon is?
Polygons Use a ruler to draw 3 different POLYGONS Discuss with a partner what a POLYGON is Write down the key qualities a POLYGON has Share with the class what a polygon is? *Can you find the area of each
Section 4: Introduction to Polygons Part 1
The following Mathematics Florida Standards will be covered in this section: MAFS.912.G-CO.1.1 Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the
Section 12.1 Translations and Rotations
Section 12.1 Translations and Rotations Any rigid motion that preserves length or distance is an isometry. We look at two types of isometries in this section: translations and rotations. Translations A
Vocabulary. Term Page Definition Clarifying Example. center of dilation. composition of transformations. enlargement. glide reflection.
CHAPTER 12 Vocabulary The table contains important vocabulary terms from Chapter 12. As you work through the chapter, fill in the page number, definition, and a clarifying example. center of dilation Term
7.1 Start Thinking. 7.1 Warm Up. 7.1 Cumulative Review Warm Up
7.1 Start Thinking The polygon in the diagram has been formed by adjoining triangles. Use your knowledge of the sum of the measures of the interior angles of a triangle to determine the sum of the measures
9.2. Polygons. Copyright 2005 Pearson Education, Inc.
9.2 Polygons Polygons Polygons are names according to their number of sides. Number of Sides Name Number of Sides Name 3 Triangle 8 Octagon 4 Quadrilateral 9 Nonagon 5 Pentagon 10 Decagon 6 Hexagon 12
8.1 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
Angle 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
Chapter 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.