Miniature Golf Project

Slides:

Advertisements

Similar presentations

Adjacent, Vertical, Supplementary, and Complementary Angles

Advertisements

2-8: Proving Angle Relationships

Warm Up:. Linear Pair I: Two angles that share a common vertex and together make a straight line (180°). M: What is the missing measure?

2.6 – Proving Statements about Angles Definition: Theorem A true statement that follows as a result of other true statements.

DEFINITIONS, POSTULATES, AND PROPERTIES Review HEY REMEMBER ME!!!!!!

Types of Angles. Acute Angle Any angle that measures less than 90 o.

Angle Pair Relationships

Degrees: Measuring Angles We measure the size of an angle using degrees. Example: Here are some examples of angles and their degree measurements.

Objectives-What we’ll learn…

Angle Pair Relationships

Section 2.7 PROVE ANGLE PAIR RELATIONSHIPS. In this section… We will continue to look at 2 column proofs The proofs will refer to relationships with angles.

Lesson 2.6 p. 109 Proving Statements about Angles Goal: to begin two-column proofs about congruent angles.

Proving Angle Relationships

Welcome to class The warm up is 1-2 Word puzzle on the table.

L.T. I can identify special angle pairs and use their relationships to find angle measure.

Geometry Section 1.6 Special Angle Pairs. Two angles are adjacent angles if Two angles are vertical angles if.

CPCTC Congruent Triangles. StatementReason 1. Given 2. Given Pg. 3 #1 3. An angle bisector divides an angle into two congruent parts 4. Reflexive postulate.

Angle Relationships Geometry 1.5.

Prove Theorems Advanced Geometry Deductive Reasoning Lesson 4.

1.4 Pairs of Angles Adjacent angles- two angles with a common vertex and common side. (Side by side) Linear pair- a pair of adjacent angles that make a.

Section 1-6 Angle Pair Relationships. Vertical angles Formed when two lines intersect. Vertical Angles are Congruent. 1 2.

All right angles are congruent BCD A TheoremGivenStatementReason If 2 angles are complements of the same angle, then they are congruent Complements of.

Warm Up Name an example of: Obtuse, acute, straight, & adjacent ∠ ’s (Be sure to use 3 letters when naming the ∠ ) B H T A M.

Classifying Angles. Vocabulary Acute Angle – an angle that is less than 90 o Obtuse Angle - an angle that measures between 90 o and 180 o Right Angle.

Tools of Geometry Measuring and Vocabulary. Measuring Line Segments – use a ruler Always use centimeters Round to the nearest tenth Angles – use a protractor.

TOOLS OF GEOMETRY UNIT 1. TOOLS OF GEOMETRY Date Essential Question What are the different ways that angles can be compared or classified? Home Learning.

Lesson # 2 Definition of Angle Bisector GivenTransitiveGiven.

Any two angles whose sum is 180 degrees. Supplementary Angles.

Angle Measurements.

What’s Your Angle? An Introduction to Angle Pair Relationships.

2-4 Special Pairs of Angles. A) Terms 1) Complementary angles – a) Two angles whose sum is 90° b) The angles do not have to be adjacent. c) Each angle.

Section 1.6 Angle Pair Relationships standard #13 7/3/2016.

Angles Review. Right Angle Discuss with your neighbor the definition of a right angle. How would you solve the below missing measure? 42 

Let’s Begin Geometry Everyday Vocabulary!!!!. Words to live by……  Point  Line  Ray Shows location Connects points, goes in 2 directions forever Has.

Angles!!! Geometry Pre-AP. Draw an angle… Definition  An angle is formed by two noncollinear rays that have a common endpoint.  The rays are the sides.

Good Afternoon! We have several things to do today so please be ready with your completed homework assignment, textbook, graph paper and your definitions.

Angle Relationships.

Objective: To recognize and classify angles and

Introduction to Geometry

Use a protractor to draw angles with the following measurements:

1.6 Angle Pair Relationship

Chapter 1 section 7 Angle relationships

Special pairs of angles

Warm Up Solve..

Describe Angle Pair Relationships

1.5 Exploring Angle Pairs.

Angle Relationships.

1.6 Describing Pairs of Angles

Types of Angles & Their Relationships

Describe Angle Pair Relationships

Math Review Equations 1. Solve for x. Explain each step in a proof. Graphing Equations 2. Graph the following equation. Angle Relationships 3. Angles 1.

2.6 Proving Statements about Angles

1-5 Angle Relations.

Angle Pair Relationships

Measuring and Classifying Angles

Warm-up December 4, 2017 On a sheet of notebook paper

Angle Relationships Pre-Algebra.

Proving Statements About Angles

Angle Pair Relationships

2.6 Proving Statements about Angles

Chapter 2 : Angles Vocabulary Terms.

Angles An angle is made up of 2 rays with a common end point called the vertex. Angles are measured in units called degrees. Vertex- the point where the.

2.6 Deductive Reasoning GEOMETRY.

Goal: The learner will use properties of special pairs of angles.

Warm Up Your folder How many angles are in this picture?

Proving Statements about Angles

Introduction to Angles. Angle Pairs 1-3

Presentation transcript:

Miniature Golf Project Geometry Application Lesson 2 – Angle Relationships Spring, 2012

What is a golf course?

or maybe this?

Goal Not This!

REVIEW – What types of angles are the following? 35° 125° 72° 90° 321° 1° 215° 62° 360° 200° 182° 89° 21° 111° 180° 352° acute right obtuse straight reflex perigon or full

Supplementary Angles

Complementary Angles

Name the Measures of the Complement and Supplement (if they exist) to the Following Angles 35° 125° 72° 90° 321° 1° 215° 62°

Congruent Angles

Adjacent Angles

Linear Pairs of Angles

Vertical Angles

In the drawing to the left, name: vertical angles linear pairs adjacent angles supplementary angles that are not adjacent

Find the Measure Find the missing angles. 65° Find a, c, d, & e.

Angle Bisectors

Find the Missing Measures with the Given Angle Bisectors 32° ABC=68° 82°

Assignment Design and label a miniature golf hole that includes at least: 2 pairs of complementary angles 2 pairs of supplementary angles 2 congruent angles 2 pairs of adjacent angles 1 linear pair of angles 1 set of vertical angles 1 angle bisector Two drawings of the hole must be submitted. colored, landscaped perspective (Be creative!) line drawing on graph paper with items above identified, labeled (vertices and measures)

Grading Rubric Long Shot 0% – 69% Bogey 70% – 79% Par 80% – 89% Birdie 90% - 100% Angles (0 – 10 points) Included <8 required angles Incorrectly measured > 5 angles Included 9-10 required relationships Incorrectly measured 2 – 4 angles Included all required angles Correctly measures all required angles Includes all required relationships + > 2 more Correctly measures 13+ angles Labels Incorrectly labels > 5 angle relationships Incorrectly labels 2 – 4 angle relationships Correctly labels all required angle relationships Correctly labels all 13+ angle relationships Design Plain and simple sloppy 1 drawing No creativity Includes both drawings Playable Neatly drawn Evidence of ruler used Aesthetically pleasing Used a ruler Creative Titled