© 2009, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, GeorgiaActivities from Patty Paper® Geometry by Michael Serra.

Slides:

Advertisements

Similar presentations

Circles Review Unit 9.

Advertisements

Warm Up Using a compass, create one of each of the following:

2.6 Special Angles on Parallel Lines

 Do Now: 1. Take out HW. 2. Copy down HW. 3. What are all the theorems we use to prove 2 lines are parallel?

Perpendicular and Angle Bisectors

Copyright © Ed2Net Learning, Inc.1 Angle and Angles Measurement Geometry.

Kite Properties. Kite Competition! It’s the annual kite building competition and this year you’re going to take home first prize! Now your kite not only.

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

Sect Properties of Chords and Arcs Geometry Honors.

Bisecting Segments and Angles

© 2009, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, Georgia.

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

StatementReason 1. Given 2. Chords that intercept congruent arcs are congruent Example 1 3. All radii of a circle are congruent.

3.1 Duplicating Segments and Angles

LESSON B: CIRCLE PROPERTIES Objectives: To determine and apply properties of chords, arcs, and central angles in circles. 10/10/2015Geometry/Mrs. McConaughy1.

CHAPTER 1: Tools of Geometry

[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.

Constructions Mrs. Brook. Constructions For these constructions we will use a compass and a straightedge.

12.2 Chords and Arcs Theorem 12.4 and Its Converse Theorem –

Unit 3: Circles & Spheres

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

Circle Properties. Draw a Circle Draw a Chord Draw radii from ends of chord Draw lines from each end of line to meet on circumference a b Measure angles.

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

Special Parallelograms. Rhombus Properties Activity 1. Give each student a rhombus (or have students draw their own using a straightedge) 2. Trace rhombus.

11-2 Chords and Arcs  Theorems: 11-4, 11-5, 11-6, 11-7, 11-8  Vocabulary: Chord.

3.2 Constructing Perpendicular Bisectors

Chapter 1: Tools of Geometry

10.3 Chords. Review Draw the following on your desk. 1)Chord AB 2)Diameter CD 3)Radius EF 4)Tangent GH 5)Secant XY.

Warm Up – If you have a laptop Connect to the S-drive and copy this powerpoint to your desktop. My Computer – KL-student (S:) – Teachers – S-T-U – Sturtevant_M.

Chord and Tangent Properties. Chord Properties C1: Congruent chords in a circle determine congruent central angles. ●

Constructions and Algebra Connections Module 2 Lesson 2.

Section 10.2 – Arcs and Chords

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.

Geometry |-35|, October 2012 HEAD UPS- new seats! HEAD UPS- new seats! 1)Warm up: (top front) a) Briefly define/ sketch a) Briefly define/ sketch.

Section 10-2 Arcs and Central Angles. Theorem 10-4 In the same circle or in congruent circles, two minor arcs are congruent if and only if their corresponding.

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:

12.2 Chords and Arcs.

Chords and Arcs Geometry 11-2.

Assignment 1: 10.3 WB Pg. 127 #1 – 14 all

Lesson 10-1: Constructions

Introduction Geometry construction tools can also be used to create perpendicular and parallel lines. While performing each construction, it is important.

Geometry 11.4 Color Theory.

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

Concurrent Lines Geometry 5-3a.

Lesson: Introduction to Circles - Tangents, Arcs, & Chords

Geometric Constructions

Constructing Parallel and Perpendicular Lines

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.

Investigating Angle Relationships

Section 11 – 2 Chords & Arcs Objectives:

Section 3-4 Constructing Angle Bisectors

Section 6.3: Line and Segment Relationships in the Circle.

Exercises on Circles Geometry Regular Program SY Source:

10.5 Angle Relationships in Circles

Materials Needed: Directions:

Compass Constructions

Special Triangle Roadmaps

Radius drawn to a tangent

Circle O with tangent DE and Find all of the numbered angles.

Geometry Section 10.3.

Lesson 10-1: Constructions

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.

Standards: 7.0 Students prove and use theorems involving the properties of parallel lines cut by a transversal, the properties of quadrilaterals, and the.

12.2 Chords & Arcs.

Basic Constructions.

Geometry Unit 1: Foundations

Presentation transcript:

© 2009, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, GeorgiaActivities from Patty Paper® Geometry by Michael Serra

Steps: 1.Draw a circle with the Solo cup. 2.Use your straightedge to draw 2 chords as shown. 3.Label ∠ 1 and ∠ 2 as shown. What do we know about the relationship between ∠ 1 and ∠ 2? How can we prove that with our diagram? 1 2 © 2009, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, GeorgiaActivities from Patty Paper® Geometry by Michael Serra

Steps: 5.Fold the circle where the sides of ∠ 1 meet the side of ∠ 2. What do you notice? © 2009, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, GeorgiaActivities from Patty Paper® Geometry by Michael Serra

Steps: 6. Draw a chord for each arc. 7.Compare the chord lengths. What do you notice? 1 2 © 2009, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, GeorgiaActivities from Patty Paper® Geometry by Michael Serra

Steps: 1.Draw a circle with the Solo cup. 2.Use your straightedge to draw 2 chords on your circle. 3.Fold to find the perpendicular bisector. 4.Place the corner of another piece paper at the angle formed between the chord and the perpendicular bisector. What do you notice?

© 2009, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, GeorgiaActivities from Patty Paper® Geometry by Michael Serra

Steps: 1.Draw a circle with the Solo cup. 2.Fold to find a central angle. 3.Place another patty paper on top and copy the angle.

Steps: 4.Copy this angle in the original circle so that you have 2 central angles that are not vertical. 5.Compare the lengths of the arcs by folding. Are they congruent? 6.Draw a chord for each arc. 7.Compare the chord lengths by folding. © 2009, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, GeorgiaActivities from Patty Paper® Geometry by Michael Serra