Objective: Points of concurrency: centroid and orthocenter. Warm up 1.Point of concurrency: circumcenter. Located at the intersection of the perpendicular.

Slides:

Advertisements

Similar presentations

Constructions Involving Circles

Advertisements

Section 1.5 Special Points in Triangles

Proving Centers of Triangles

5-3 Concurrent Lines, Medians, Altitudes

JRLeon Discovering Geometry Chapter 3.8 HGSH Pg. 185 In the previous lesson you discovered that the three angle bisectors are concurrent, the three perpendicular.

Medians, Altitudes, and Angle Bisectors Honors Geometry Mr. Manker.

5-3 Points of Concurrency Objective: To identify properties of perpendicular bisectors and angle bisectors.

Geometry Unit 5: Triangle Parts.

5.3 - Concurrent Lines, Medians, and Altitudes

Geometry Foldable Use this foldable to go with the Euler Points learned in Chapter 5 Circumcenter Incenter Centroid Orthocenter Make your foldable using.

Top second box. MEDIANS! To the left Point of Concurrency Location It will always be located inside the triangle, because you draw a median from the.

Chapter 5.3 Concurrent Lines, Medians, and Altitudes

Objectives To define, draw, and list characteristics of: Midsegments

5.3: Concurrent Lines, Medians and Altitudes Objectives: To identify properties of perpendicular bisectors and angle bisectors To identify properties of.

Special Parts of Triangles Day 1 Please get: Activity 1 off the back table 8 pieces of patty paper Compass Protractor Scissors Glue stick Pencil.

Please get a warm up and begin working. Special Parts of Triangles Please get: ♥ Cheat for special segments and lines in triangles ♥ Scissors ♥ Glue or.

LESSON 38 Perpendicular and Angle Bisectors of Triangles.

3.6—Bisectors of a Triangle Warm Up 1. Draw a triangle and construct the bisector of one angle. 2. JK is perpendicular to ML at its midpoint K. List the.

Points of Concurrency Where multiple lines, segments rays intersect, have specific properties.

Median and Altitude of a Triangle Sec 5.3

Points of Concurrency Triangles.

Special Segments of Triangles

Lesson 12 – Points of Concurrency II

5-3 Bisectors in Triangles

Geometry B POINTS OF CONCURRENCY. The intersection of the perpendicular bisectors. CIRCUMCENTER.

Points of Concurrency The point where three or more lines intersect.

Bisectors in Triangles Chapter 5 Section 3. Objective Students will identify properties of perpendicular bisectors and angle bisectors.

Objective: Construction of the incenter. Warm up 1. Identify a median of the triangle. a. b.

SPECIAL SEGMENTS OF TRIANGLES SECTIONS 5.2, 5.3, 5.4.

Chapter 5 Lesson 3 Objective: Objective: To identify properties of perpendicular and angle bisectors.

Homework Quiz. Warmup Need Graph Paper/Compass 5.3 Concurrent Lines, Medians, and Altitudes.

The 5 special segments of a triangle …again Perpendicular bisector Angle bisector Median Altitude Perpendicular and thru a midpoint of a side Bisects an.

Section 5-3 Concurrent Lines, Medians, and Altitudes.

Geometry Sections 5.2 & 5.3 Points of Concurrency.

Medians, and Altitudes. When three or more lines intersect in one point, they are concurrent. The point at which they intersect is the point of concurrency.

Special lines in Triangles and their points of concurrency Perpendicular bisector of a triangle: is perpendicular to and intersects the side of a triangle.

5.3 Notes Bisectors in Triangles. Concurrent When three or more lines intersect at one point, they are concurrent The point at which they intersect is.

Chapter 3 Using tools of Geometry. Lesson 3.1 Sketch – a drawing made free hand, no tools Draw – a drawing made with the tools. Compass and Straightedge.

Lesson 3.7 & 3.8: 1.Homework Collection 2.Constructions.

Perpendicular bisectors and angle bisectors within triangles

Points of Concurrency Objective: Students will understand terms of concurrency, how to construct them and what they do.

bell ringer 1. What is an angle bisector? How many are in a triangle?

Bisectors, Medians, and Altitudes

Bell work: Find the missing length

Triangle Centers Points of Concurrency

Please get a warm up and begin working

5-3 Bisectors in Triangles

The intersection of the perpendicular bisectors.

Vocabulary and Examples

Special Segments in Triangles

If we use this next year and want to be brief on the concurrency points, it would be better to make a table listing the types of segments and the name.

Bisectors, Medians and Altitudes

4.8 Concurrent Lines.

COPY THIS: TOPIC: POINTS OF CONCURRENCY

Circle the letter with the name of the correct point of concurrency. 5

Centroid Theorem By Mario rodriguez.

Section 5-3 Concurrent Lines, Medians, and Altitudes.

Points of Concurrency Lessons

Section 6.6 Concurrence of Lines

5.3 Concurrent Lines, Medians, and Altitudes

bell ringer 1. What is an angle bisector? How many are in a triangle?

Objectives: To define points of concurrency in triangles

DO NOW Complete the 4 problems at the top of your worksheet.

Point of Concurrency Definition: the point at which two or more lines, line segments or ray intersect. Picture:

Bisectors of a Triangle

Warm Up– in your notebook

Lesson 9.7 Circle Constructions pp

Bisectors of a Triangle

concurrency that we will be discussing today.

Presentation transcript:

Objective: Points of concurrency: centroid and orthocenter. Warm up 1.Point of concurrency: circumcenter. Located at the intersection of the perpendicular bisectors. Circumscribe circle to the triangle.

2.Point of concurrency: incenter. Located at the intersection of the angle bisectors. Inscribe circle to the triangle.

3. Determine when is the circumcenter inside, outside or on a side of the triangle.

4.

2. Construct the orthocenter of the given triangle. Located at intersection of the altitudes.

orthocenter

4.Construct the centroid of the triangle. Located at the intersection of medians. It is the consider the center of gravity of the triangle.

Centroid (center of gravity of the triangle)

How to memorize points of concurrency?

Assignment Carnegie Learning Workbook Pg 169 #5-10

Notebook Check #1 1._______08/29/14 Investigation: Which angles are congruent? 2._______09/04/14 Investigation: Finding the right bisector. 3._______09/09/14 Investigation: Angle bisecting with a compass. 4._______09/16/14 Investigation: Transformations on a coordinate plane. 5._______09/23/14 Investigation: Dilations on the coordinate plane. 6. ______09/29/14 Objective: Review transformations and symmetry.