EXAMPLE 3 Use the concurrency of perpendicular bisectors FROZEN YOGURT Three snack carts sell frozen yogurt from points A, B, and C outside a city. Each.

Slides:

Advertisements

Similar presentations

MODULE IV VOCABULARY PART II. MODULE IV In continuing our discussion of triangles, it is important that we discuss concurrent lines and points of concurrence.

Advertisements

Chapter 5.2 Notes: Use Perpendicular Bisectors Goal: You will use perpendicular Bisectors.

Using properties of Midsegments Suppose you are given only the three midpoints of the sides of a triangle. Is it possible to draw the original triangle?

Chapter 5 Perpendicular Bisectors. Perpendicular bisector A segment, ray or line that is perpendicular to a segment at its midpoint.

PERPENDICULAR BISECTORS SECTION 5.2. PERPENDICULAR BISECTOR THEOREM A point is on the perpendicular bisector if and only if it is equidistant from the.

5-3 Concurrent Lines, Medians, Altitudes

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.

Chapter 5 Perpendicular Bisectors. Perpendicular bisector A segment, ray or line that is perpendicular to a segment at its midpoint.

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.

Chapter 5.3 Concurrent Lines, Medians, and Altitudes

Honors Geometry Section 5.2 Use Perpendicular Bisectors.

Bisectors of a Triangle

5.2.2 Use Perpendicular Bisectors SWBAT: Define Concurrency. Define Circumcenter. You will accomplish this for homework.

Points of Concurrency Triangles.

5-3 Bisectors in Triangles

Bisectors in Triangles Section 5-2. Perpendicular Bisector A perpendicular tells us two things – It creates a 90 angle with the segment it intersects.

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.

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.

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

Lesson 5-2 Use perpendicular bisectors

5.6 Angle Bisectors and Perpendicular Bisectors

5.3: Concurrent Lines, Medians and Altitudes Objectives: Students will be able to… Identify properties of perpendicular bisectors and angle bisectors Identify.

5-1 Bisectors of Triangles The student will be able to: 1. Identify and use perpendicular bisectors in triangles. 2. Identify and use angle bisectors in.

EXAMPLE 4 Use the concurrency of angle bisectors In the diagram, N is the incenter of ABC. Find ND. SOLUTION By the Concurrency of Angle Bisectors of a.

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.

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

5.4 Medians and Altitudes. Vocabulary…  Concurrent- 3 or more lines, rays, or segments that intersect at the same point  Median of a Triangle – a segment.

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.

Midsegment Review Find the Value of X and Identify all Parallel Lines.

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.

1. Solve 3x = 8x – 15. ANSWER 3 2. Solve 6x + 3 = 8x – 14. ANSWER 8.5

Section 5.2 Notes.

EXAMPLE 3 Find the area of an isosceles triangle

Medians, Altitudes and Perpendicular Bisectors

Use Angle Bisectors of Triangles

Perpendicular Bisectors

Special Segments in a Triangle

Bisectors of Triangles

12 Chapter Congruence, and Similarity with Constructions

5.2 Bisectors of a Triangle

5-3 Bisectors in Triangles

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

Medians and Altitudes of a Triangle

Lines Associated with Triangles 4-3D

1. Solve 3x = 8x – 15. ANSWER 3 2. Solve 6x + 3 = 8x – 14. ANSWER 8.5.

Bisectors, Medians and Altitudes

Bisectors in Triangles

Use the Perpendicular Bisector Theorem

Warm-Up #28 Monday 5/2 Write an equation in slope intercept form with these two points: (2, 4) and (0, -6). Given f(x)= f(x-1) +3 and f(0) = 6, find f(2).

Centroid Theorem By Mario rodriguez.

Lesson 5-2: Perpendicular & Angle Bisectors

5.4 Medians and Altitudes Say what?????.

Section 5.2 Use Perpendicular Bisectors

5.3 Concurrent Lines, Medians, and Altitudes

Relationships Within Triangles

Module 15: Lesson 5 Angle Bisectors of Triangles

Use Perpendicular Bisectors

Lesson: 5.1 Special Segments in Triangles Pages: 238 – 241 Objectives:

12 Chapter Congruence, and Similarity with Constructions

Warm Up– on scratch paper

5.2 Bisectors of Triangles

5-1 Bisectors of Triangles

Objectives: I will use perpendicular bisector to solve Problems.

Constructing a Circumcenter

concurrency that we will be discussing today.

Presentation transcript:

EXAMPLE 3 Use the concurrency of perpendicular bisectors FROZEN YOGURT Three snack carts sell frozen yogurt from points A, B, and C outside a city. Each of the three carts is the same distance from the frozen yogurt distributor. Find a location for the distributor that is equidistant from the three carts.

EXAMPLE 3 Use the concurrency of perpendicular bisectors Copy the positions of points A, B, and C and connect those points to draw ABC. Then use a ruler and protractor to draw the three perpendicular bisectors of ABC. The point of concurrency D is the location of the distributor. Theorem 5.4 shows you that you can find a point equidistant from three points by using the perpendicular bisectors of the triangle formed by those points.

GUIDED PRACTICE for Example 3 SOLUTION 4. WHAT IF? Hot pretzels are sold from points A and B and also from a cart at point E. Where could the pretzel distributor be located if it is equidistant from those three points? Sketch the and show the location.triangle Where the perpendicular bisectors of the triangle formed by A, B, and C intersect