Warm Up 10-6. Announcements  Test Friday  HW: TEXAS Practice test Pg. 188 #1-5.

Slides:



Advertisements
Similar presentations
Medians and Centroid A median of a triangle is a line segment that is drawn from the _________ to the ___________ of the opposite side. A centroid is the.
Advertisements

Warm-up Day before Ch. 4 Test Answer the following questions. Do not write the questions. 1) What does CPCTC stand for? 2) What kind of construction is.
5.2 Bisectors of a Triangle Concurrent lines CircumcenterIncenter.
Today – Monday, December 17, 2012  Q & A from Friday’s Warm up PG. 292: 1-13  Questions from HW #1  Learning Target: Use the Perpendicular Bisector.
5.2 Bisectors of Triangles5.2 Bisectors of Triangles  Use the properties of perpendicular bisectors of a triangle  Use the properties of angle bisectors.
Perpendicular and Angle Bisectors of a Triangle Sec 5.2 Goal: To use properties of perpendicular bisectors of a triangle. To use properties of angle bisectors.
Concurrent Lines Geometry Mrs. King Unit 4, Day 7.
5-3 Points of Concurrency Objective: To identify properties of perpendicular bisectors and angle bisectors.
Bisectors of a Triangle
10-4 Circles Given a point on a circle, construct the tangent to the circle at the given point. (Euclidean) A O 1) Draw ray from O through A 2) Construct.
Constructing Points of Concurrency.
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.
Points of Concurrency Triangles.
Special Segments of Triangles
Objective: Points of concurrency: centroid and orthocenter. Warm up 1.Point of concurrency: circumcenter. Located at the intersection of the perpendicular.
5-3 Bisectors in Triangles
Altitude, perpendicular bisector, both, or neither?
Objective: Inscribe and circumscribe polygons. Warm up 1. Length of arc AB is inches. The radius of the circle is 16 inches. Use proportions to find.
Geometry B POINTS OF CONCURRENCY. The intersection of the perpendicular bisectors. CIRCUMCENTER.
Geometry Lesson 5 – 1 Bisectors of Triangles Objective: Identify and use perpendicular bisectors in triangles. Identify and use angle bisectors in triangles.
Perpendicular Bisectors of a Triangle Geometry. Equidistant A point is equidistant from two points if its distance from each point is the same.
Chapter 10 Section 3 Concurrent Lines. If the lines are Concurrent then they all intersect at the same point. The point of intersection is called the.
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.
5.3: Concurrent Lines, Medians and Altitudes Objectives: Students will be able to… Identify properties of perpendicular bisectors and angle bisectors Identify.
Objective: Construction of the incenter. Warm up 1. Identify a median of the triangle. a. b.
Perpendicular and Angle Bisectors Perpendicular Bisector – A line, segment, or ray that passes through the midpoint of a side of a triangle and is perpendicular.
SPECIAL SEGMENTS OF TRIANGLES SECTIONS 5.2, 5.3, 5.4.
Warm Up Announcements  Test Friday  Homework: TEXAS Practice Test Pg. 194.
5.2 Bisectors of a Triangle Advanced Geometry. PERPENDICULAR BISECTOR OF A TRIANGLE A perpendicular bisector of a triangle is a line (ray or segment)
5-2 Perpendicular and Angle Bisectors. Perpendicular Bisectors A point is equidistant from two objects if it is the same distance from each. A perpendicular.
Chapter 5 Lesson 3 Objective: Objective: To identify properties of perpendicular and angle bisectors.
Bisectors in Triangles Concurrency of Perpendicular Bisector Theorem If the perpendicular bisectors PX, PY and PZ are concurrent at P, then PA = PC = PB.
WARM UP: What is RU? In the diagram above, if RT is extended to contain a point W so the UW has a length of 8, what is the length of SW? What is CD?
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.
Lesson 3.7 & 3.8: 1.Homework Collection 2.Constructions.
5.2 Bisectors of Triangles Guiding Question: How can an event planner use perpendicular bisectors of triangles to find the best location for a firework.
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?
10-3 Concurrent Lines Thrm: Bisectors of the angles of a triangle intersect in a point that is equidistant from the three sides of a triangle. Where multiple.
Perpendicular Bisectors
Warm up Find the midpoint of segment AB A(0,0) B(6,4)
Triangle Centers Points of Concurrency
5.2 Bisectors of a Triangle
5-3 Bisectors in Triangles
The intersection of the perpendicular bisectors.
Vocabulary and Examples
10-3 Concurrent Lines Thrm: Bisectors of the angles of a triangle intersect in a point that is equidistant from the three sides of a triangle. Where multiple.
Bisectors, Medians and Altitudes
Section 5.1.
Circle the letter with the name of the correct point of concurrency. 5
Lesson 5-3: Bisectors in Triangles
Centroid Theorem By Mario rodriguez.
Math Humor Teacher: How many sides does a circle have? Student: Two! Inside and outside!
6.2 Bisectors of triangles
5.3 Concurrent Lines, Medians, and Altitudes
bell ringer 1. What is an angle bisector? How many are in a triangle?
Basic Constructions Constructing a congruent segment
Warm-Up 11/18/08 1.Point of concurrency for the perpendicular bisectors of a triangle. a. incenter b. median c. circumcenter d.centroid 2.Point.
Point of Concurrency Definition: the point at which two or more lines, line segments or ray intersect. Picture:
Bisectors of a Triangle
Warm Up– on scratch paper
5.2 Bisectors of Triangles
5-1 Bisectors of Triangles
Geometry Tuesday Practice Worksheet Warm ups
Bisectors of a Triangle
Constructing a Circumcenter
concurrency that we will be discussing today.
Presentation transcript:

Warm Up 10-6

Announcements  Test Friday  HW: TEXAS Practice test Pg. 188 #1-5

Point of Concurrency  The point of concurrency is the point at which 3 or more lines intersect.

Circumcenter  The perpendicular bisectors meet at a point of concurrency called the circumcenter.

Incenter  The angle bisectors meet at a point of concurrency called the incenter

Now we are going to construct  