Construction in Geometry

Slides:

Advertisements

Similar presentations

Constructing Lines, Segments, and Angles

Advertisements

Geometric Constructions: Congruent Segments and Congruent Angles Geometry Mr. Zampetti Unit 2, Day 1.

Warm Up 1. Find CD Find the coordinate of the midpoint of CD. –2.

Chapter 10 Constructions.

3.3 Constructing Perpendicular to a Line Objectives: I CAN discover methods of constructing a perpendicular to a line from a point not on the line and.

Adapted from Walch Education Triangles A triangle is a polygon with three sides and three angles. There are many types of triangles that can be constructed.

Constructible Lengths And Irrational Numbers

Section 1-5: Constructions SPI 32A: Identify properties of plane figures TPI 42A: Construct bisectors of angles and line segments Objective: Use a compass.

Bisecting Segments and Angles

Chapter 9 Congruence, Symmetry and Similarity Section 9.3

Introduction The ability to copy and bisect angles and segments, as well as construct perpendicular and parallel lines, allows you to construct a variety.

3.5 Constructing Parallel Lines

Similarity, Congruence & Proof

Entry Task 1. Graph A (–2, 3) and B (1, 0). 2. Find CD. Write expression for it.

1 Objectives: 1. Measure segments. 2. Calculate with measures. 1-2 Linear Measure and Precision.

Copy a segment Copy an angle

Constructions. Supplies Paper (thick stack) Compass Straight Edge.

Warm-up 3.1 Constructions and 4.1 Triangle Sum Theorem

3.1 Duplicating Segments and Angles

1.6 Basic Constructions.

Copying Segments and Angles Adapted from Walch Education.

In Chapter 1, you studied many common geometric shapes and learned ways to describe a shape using its attributes. In this chapter, you will further investigate.

Creating Constructions Unit 7. Word Splash Constructions Construction – creating shapes using a straight edge and a compass Straight edge – clear,

Success Criteria: I can use special geometric tools to make a figure that is congruent to an original figure without measuring I can apply this method.

CHAPTER 1: Tools of Geometry

§5.1 Constructions The student will learn about: basic Euclidean constructions. 1.

1.7 Basic Constructions.

[1-6] Basic Construction Mr. Joshua Doudt Geometry (H) September 10, 2015 Pg

 TEKS Focus:  (5)(B) Construct congruent segments, congruent angles, a segment bisector, an angle bisector, perpendicular lines, the perpendicular bisector.

Geometric Constructions October - Ch. 3 Part of Unit 2 – Lines & Angles.

3.2 Constructing Perpendicular Bisectors

Chapter 1: Tools of Geometry

Unit 1 All About Angles and Constructions (not necessarily in that order) Ms. Houghton Geometry Honors Fall 2014.

1-6 Basic Constructions.

1.6 Basic Construction 1.7 Midpoint and Distance Objective: Using special geometric tools students can make figures without measurments. Also, students.

1.4 Measuring Angles 1.5 Exploring Angle Pairs.

Lesson 10-1: Constructions 1 Lesson 10-1 Constructions.

GEOMETRY HELP Use the method learned for constructing congruent angles. Step 2: With the same compass setting, put the compass point on point N. Draw an.

3.4 Constructing Angle Bisectors Objectives: I CAN discover methods of constructing an angle bisector. I CAN explore how to construct special angles by.

10.1 Construction Modern construction: Use a modern compass, you can maintain the radius as you pick up the compass and move it. Euclidean construction:

Basic Geometric Constructions

5.3.2: Introduction Segments and angles are often described with measurements. Segments have lengths that can be measured with a ruler. Angles have measures.

Constructions Bisect – To divide something into two equal parts Perpendicular – Lines that intersect to form right angles. Today’s constructions: –Bisect.

{ Constructions Duplicating and Line and an Angle.

Slide 1-1 Copyright © 2014 Pearson Education, Inc. 1.6 Constructions Involving Lines and Angles.

Lesson 10-1: Constructions

1.6 Basic Constructions SOL: G4 Objectives: The Student Will …

Chapter 5.1 Segment and Angle Bisectors

Geometric Constructions

Introduction Triangles are not the only figures that can be inscribed in a circle. It is also possible to inscribe other figures, such as squares. The.

Ch 1-6 Basic Constructions

Lines Associated with Triangles 4-3D

Ancient Mathematics – Straightedge and Compass Geometry

Introduction Two basic instruments used in geometry are the straightedge and the compass. A straightedge is a bar or strip of wood, plastic, or metal that.

Duplicating Segments and Anlges

1.2 Informal Geometry and Measurement

Compass Constructions

Lesson 10-1: Constructions

Constructions in Geometry

Basic Constructions Skill 06.

Use a ruler and a protractor to draw a segment 5 cm long and a 50 degree angle . Then use the ruler and a protractor to draw a bisector of the segment.

1.6 and 3.6 Constructions By Brit Caswell.

Basic Constructions.

Constructions Euclidean Geometry.

Geometry Unit 1: Foundations

Investigation 9.2 – Chord Properties You need: ruler, pencil, 2 printed circles or your own compass, glue stick In class section, do the following: Write.

3.7 Constructing Parallel and Perpendicular Lines

Presentation transcript:

Construction in Geometry We will be using a compass, Rulers and straightedges to copy lines angles construct angles. Steps and Diagrams from http://www.mathopenref.com/worksheetlist.html

Standards in this Chapter: G.2.C. Explain and perform basic compass and straightedge constructions related to parallel and perpendicular lines G.2.A. Know, prove, and apply theorems about parallel and perpendicular lines. G.3.A. Know, explain, and apply basic postulated and theorems about triangles and the special lines, line segments, and rays associated with a triangle.

Pencil  Compass Point Ruler: a tool with measurement markings to make straight lines Straightedge: a tool that has a straight side & no measurements (used for making straight lines) Compass: a tool that is used for making circles and arcs. They have a point and a pencil. Pencil  Compass Point

Sketch: A rough picture Draw: Using tools with measurements (such as rulers) Construct: Straightedge & Compass

Copy a Line Segment Pick a point not on line segment PQ. Label it R. Put the point of the compass on one of the endpoints of the line segment Open the compass until the pencil is on the other endpoint

4. Keeping the same measure. Move the compass point R and make an arc.

5. Pick a point on the arc and label it. 6. Use a straightedge and connect the two new points.

How to Copy an Angle: Draw a ray Put the point of the compass on the vertex of the angle and make an arc. (mark the intersection pts)

3. Transfer the compass to the endpoint of the ray and make another arc at that same distance (don’t move the compass) and label the intersection point. 4. Then place the compass point on one of the intersection point of the original angle and extend it to the other intersection point (make an arc) M

5. Transfer the compass (keeping the same measure) to the intersection point on the ray and make an arc. 6. Label the intersection of the two arcs on the new ray. Connect the endpoint of the ray and the new intersection point.

Draw a Perpendicular Line (Bisecting a Line) 1. Place the compass pt on the endpoint and extend the compass pass the center of the line. 2. Make an arc on both sides of the line.

3. Keeping the same measure, transfer the compass to the other endpoint mark the arc on both sides of the line segment. 4. Connect the two intersection points of the arcs with a line