Geometry 17, 18 October 2012 1)Place binder and text on desk. 2)Warm up: (top back) a) Find the rule for the table: a) Find the rule for the table: b)

Slides:

Advertisements

Similar presentations

OBJECTIVE: 1) BE ABLE TO IDENTIFY THE MEDIAN AND ALTITUDE OF A TRIANGLE 2) BE ABLE TO APPLY THE MID-SEGMENT THEOREM 3) BE ABLE TO USE TRIANGLE MEASUREMENTS.

Advertisements

Chapter 5. Vocab Review  Intersect  Midpoint  Angle Bisector  Perpendicular Bisector  Construction of a Perpendicular through a point on a line Construction.

Constructions Using Tools in Geometry

Relationships within triangles

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

Bisectors, Medians, and Altitudes Section 5-1

MORE TRIANGLES Chapter 5 Guess What we will learn about Geometry Unit Properties of Triangles 1.

Concurrent Lines Geometry Mrs. King Unit 4, Day 7.

Geometry Unit 5: Triangle Parts.

introducing Chapter 5 Relationships with Triangles

Warm up: Calculate midsegments

11/12/14 Geometry Bellwork 1.3x = 8x – 15 0 = 5x – = 5x x = 3 2.6x + 3 = 8x – 14 3 = 2x – = 2x x = x – 2 = 3x + 6 2x – 2 = 6 2x = 8.

Geometry 14 - |-2|, October )Place binder and text on desk. 2)Warm up: (bottom back) Review page 135 Briefly summarize “slope” Write down the “slope.

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.

Geometry Grab your clicker and get ready for the warm-up.

Points of Concurrency Triangles.

Special Segments of Triangles

Lesson 12 – Points of Concurrency II

Vocabulary Unit 4 & 5. Equilateral/Equiangular Triangle A triangle with 3 congruent sides and 3 congruent angles.

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

Perpendicular Bisectors of a Triangle Geometry. Equidistant A point is equidistant from two points if its distance from each point is the same.

Geometry Sections 5.1 and 5.2 Midsegment Theorem Use Perpendicular Bisectors.

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

Chapter 1: Tools of Geometry

Special Segments of Triangles Advanced Geometry Triangle Congruence Lesson 4.

Warm Up Homework – page 7 in packet

Constructing Perpendicular Bisectors and Lines Right angles Cut in Half.

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

5.1 Special Segments in Triangles Learn about Perpendicular Bisector Learn about Medians Learn about Altitude Learn about Angle Bisector.

EMPTY folders- put papers in your binders. ONLY keep weekly warm up sheet and current day’s classwork in folders. Warm-up- silently please REVIEW SLIDES.

Geometry October )Place binder and text on desk. 2)WARM UP (top front) Squares on a side n Shaded squares013610__...___...____ Below.

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.

Warm Up Announcements  Test Friday  Homework: TEXAS Practice Test Pg. 194.

Median, Angle bisector, Perpendicular bisector or Altitude Answer the following questions about the 4 parts of a triangle. The possible answers are listed.

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

5-2 Median & Altitudes of Triangles

Chapter 5, Section 1 Perpendiculars & Bisectors. Perpendicular Bisector A segment, ray, line or plane which is perpendicular to a segment at it’s midpoint.

How do we analyze the special segments that exist inside triangles? Agenda: Warmup Go over homework Segments inside triangles notes/practice QUIZ Thursday.

1. Construct the following angles, 30, 45, 60 and 90. Construct an equilateral triangle for 60, bisect one of the angles for 30. Construct a perpendicular.

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

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.

Use Medians and Altitudes

Bisectors, Medians, and Altitudes

Medians, Altitudes and Perpendicular Bisectors

Special Segments in a Triangle

Triangle Centers Points of Concurrency

Please get a warm up and begin working

12 Chapter Congruence, and Similarity with Constructions

Perpendicular Bisector

You need your journal The next section in your journal is called special segments in triangles You have a short quiz.

Constructing Perpendicular Bisectors and Lines

Medians and Altitudes of a Triangle

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.

Lines Associated with Triangles 4-3D

Bisectors, Medians and Altitudes

Chapter 5 Types of Segments

Lines, Angles and Triangles

Definition of a Median of a Triangle A median of a triangle is a segment whose endpoints are a vertex and a midpoint of the opposite side.

Lesson 5-3: Bisectors in Triangles

Centroid Theorem By Mario rodriguez.

Section 6.6 Concurrence of Lines

5.3 Concurrent Lines, Medians, and Altitudes

Relationships Within Triangles

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

12 Chapter Congruence, and Similarity with Constructions

Unit 6 Test Review

Geometry Tuesday Practice Worksheet Warm ups

Presentation transcript:

Geometry 17, 18 October )Place binder and text on desk. 2)Warm up: (top back) a) Find the rule for the table: a) Find the rule for the table: b) Find x if a = b b) Find x if a = b n12345n F(n) a= 2x + 10º c= 3x + 20º b

Objective Students will be able to construct perpendicular lines and practice with construction tools. Homework Due Friday: 3.2, pg. 151+: 7 – 10, , pg. 151+: 7 – 10, , pg. 156: 1 – 3, , pg. 156: 1 – 3, , pg. 160: 1 – 5 3.4, pg. 160: 1 – 5 Short Quiz- Friday- know VOCAB and basic SIX constructions Chapter 3/ Rule Writing Test- October 24 PROJECT- Shuttling Around due October 30

Project- Shuttling Around Review Project Details Review Rubric– how can you get an “A”? Practice-- can you solve the puzzle with one marker on each side? DUE October 30.

Constructions- how to Graphic Organizer KNOW how to duplicate/ construct (Patty paper, COMPASS AND STRAIGHTEDGE ) 1) Line Segment 2) Angle 3) Perpendicular Bisector 4) Perpendicular to a segment through a point not on the segment 5) Bisect an angle 6) Parallel Lines

Applications Know how to construct for triangles (Patty paper and Compass/ Straightedge): 1) Medians 2) Altitudes 3) Midsegments 4) Circumcenter 5) Centroid

Review…..classwork paper lar_not_on_line.htm Construct a perpendicular from a point not on your segment using your compass. Construct a perpendicular from a point not on your segment using patty paper. DO STEP 5 on page 155. Which distance is shortest?

Angle Bisector A ray that divides an angle into 2 congruent adjacent angles. BD is an angle bisector of <ABC. B A C D

Two more constructions… ANGLE BISECTOR 1) Patty Paper- see page 159 2) With a compass PARALLEL LINES 1) Patty Paper- see page 163 2) With a compass – various methods PRACTICE- do THREE of each on your classwork paper

median segment connecting the vertex of of a triangle to the midpoint of the opposite side each triangle has 3 medians midsegment segment connecting midpoints of two sides of a triangle each triangle has 3 midsegments do you know these words?

and…. circumcenter- the point of concurrency (one point where all 3 lines intersect) for the perpendicular bisectors.

altitude- perpendicular segment from a vertex to the opposite side or a line containing the opposite side

Chapter 3 Summary Work with your group to complete the graphic organizer Use as a study guide

Debrief Chinese Restaurants Do your best to answer this problem and justify your work. Work independently for 10 minutes Work independently for 10 minutes. We’ll work on this problem with your group next week.