Copying Segments Create the length 2AB AB. Congruent Radii.

Slides:

Advertisements

Similar presentations

Copying and Constructing Triangles Math 2 - Lesson 59 Mr. Lopez.

Advertisements

Chapter 10 Constructions.

. . CONSTRUCTION OF A RIGHT TRIANGLE IF THE ONE ANGLE OF A TRIANGLE IS 90,IT IS CALLED RIGHT TRIANGLE.

Honors Geometry Section 5.5 Areas of Regular Polygons

Geometry Honors Section 9.1 Segments and Arcs of Circles

Honors Geometry Section 5.5 Areas of Regular Polygons.

Polygon from a known side

Dr. Mohamed BEN ALI.  By the end of this lecture, students will be able to: Understand the types of Tangents. Construct tangents. Construct incircle.

Find the length of a common internal tangent Play along at home!

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

Lesson 10.1 Circles. Definition: The set of all points in a plane that are a given distance from a given point in the plane. The given point is the CENTER.

Tell whether the figure is a polygon. If it is, then classify it. Yes. A Pentagon. No. Find each square root. - = -10 = 7.

©thevisualclassroom.com (2,4) (12, 8) 2.7 Determining the Midpoint of a Line Segment (7,6) Find the midpoint between the points (2, 4) and (12, 8) 2 12.

1.5 Segment and Angle Bisectors Goal 1: Bisect a segment Goal 2: Bisect an angle CAS 16, 17.

1 Lesson 10.2 Arcs and Chords. 2 Theorem #1: In a circle, if two chords are congruent then their corresponding minor arcs are congruent. E A B C D Example:

Introduction Tangent lines are useful in calculating distances as well as diagramming in the professions of construction, architecture, and landscaping.

6.1 Use Properties of Tangents

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

Circles and Chords. Vocabulary A chord is a segment that joins two points of the circle. A diameter is a chord that contains the center of the circle.

Lesson 8-4: Arcs and Chords

Bisecting Line Segments and Angles Slideshow 40, Mathematics Mr Richard Sasaki Room 307.

7.7: Areas of Circles and Sectors

Copy a segment Copy an angle

1.6 Basic Constructions.

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.

Chapter 10.1 Notes: Use Properties of Tangents Goal: You will use properties of a tangent to a circle.

CIRCLES: TANGENTS. TWO CIRCLES CAN INTERSECT… in two points one point or no points.

Tangent Applications in Circles More Problems Using Pythagorean Theorem.

CHAPTER 1: Tools of Geometry

8-2C Radius-chord Conjectures What is a chord? What special relationship exists between a radius of a circle and a chord?

10-3 Arc and Chords You used the relationships between arcs and angles to find measures. Recognize and use relationships between arcs and chords. Recognize.

10.1 The Circle After studying this section, you will be able to identify the characteristics of circles, recognize chords, diameters, and special relationships.

8-3 & 8-4 TANGENTS, ARCS & CHORDS

Find the value of x. 2. Identify the special name given to each segment in Circle Q.

A Circle is a closed plane figure in which all the points are the same distance from the center. F Center Circle F.

Geometry 11-1 Circle Basics Divide your paper into eight boxes. Draw a circle in each box, but leave some room to write a definition.

[10.2] Perpendicular Bisector  Draw a Chord AB  Find the Midpoint of AB (Label it M)  From M, draw a line through O  What do you notice? Circle #1.

1.7 Basic Constructions.

Geometry Chapter 9 Section 1 Circles. Circle The set of all points in a plane that are a given distance from a center point Radius a line segment from.

Std. :- 5th Sub. :- Mathematics Chapter no. 19 Circle.

Section 10-6 The Meaning of Locus. Locus A figure that is the set of all points, and only those points, that satisfy one or more conditions.

CONSTRUCTION DAY! Segment and Angle Bisectors LEARNING TARGETS: 1. I will be able to construct line segment bisectors and angle bisectors with a compass.

Properties of Chords. When a chord intersects the circumference of a circle certain properties will be true.

BY WENDY LI AND MARISSA MORELLO

Review:labeled part Write the name of each of the circle E. B. C. A. D.

The distance from any point on a circle to the center is a constant called the radius. The length of any line segment from a point on a circle to the.

Geometric Constructions with Understanding **This is meant as a resource to the teacher! It is NOT intended to replace teaching in the classroom OR the.

10.5 Tangents Tangent: a line that shares only one point with a circle and is perpendicular to the radius or diameter at that point. Point of tangency:

9-1 Exploring Circles Objectives: To identify and use parts of circles. To solve problems involving the circumference of a circle.

Chapter 1: Tools of Geometry

Lesson 1.7 – Basic Constructions “MapQuest really needs to start their directions on #5. Pretty sure I know how to get out of my neighborhood”

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.

Arcs and Chords Know and apply properties of a circle to solve problems and logically justify results.

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

Circle – the set of all points in a plane a given distance away from a center point. A A circle is named by its center point. For example: Circle A.

Main Idea 1: If the arcs are congruent, then the chords are congruent. REVERSE: If the chords are congruent, then the arcs are congruent. Main Idea 2:

Entry Task Circles and Arcs What is a circle? Circle The set of all points in a plane that are the same distance from a given point (this point.

Jeopardy Terminology Quiz Geometry All points on a circle are the same distance from this point. (100)

Circles and Arcs. General Vocabulary: CIRCLE: the set of all points equidistant from a given point called the CENTER RADIUS: a segment that has one point.

Copyright © Cengage Learning. All rights reserved. Circles 6 6 Chapter.

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

The set of all points inside the circle

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

Circles Lesson 10.1.

Constructing and bisecting Line Segments

Constructions Lab.

Presentation transcript:

Copying Segments Create the length 2AB AB

Congruent Radii

What do we call the compass length? Say we open our compass to this length > Then, draw a circle using point A as your center: Segment AB is now called the __________ of circle A. radius

Copying Segment AB Step 1: Draw a RAY. Step 2: Open your compass to AB. Step 3: Mark off AB on your ray. A’ B’ What do we know about segments AB and A’B’? They are congruent radii.

Bisecting Segment AB What is the next step? Name some radii (plural for radius). CDCD radius