4.6 Medians of a Triangle.

Slides:



Advertisements
Similar presentations
Day 7.
Advertisements

Date: Sec 5-4 Concept: Medians and Altitudes of a Triangle
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.
Geometry Chapter 4 Cipollone.
Medians, Altitudes, and Angle Bisectors Honors Geometry Mr. Manker.
Unit 5.
Warm up: Calculate midsegments
November. Get a worksheet from the front, complete the crossword puzzle!
Chapter 5.3 Concurrent Lines, Medians, and Altitudes
Triangle Sum Theorem In a triangle, the three angles always add to 180°: A + B + C = 180° 38° + 85° + C = 180° C = 180° C = 57°
Median and Altitude of a Triangle Sec 5.3
Angle Bisector A segment that cuts an angle in half.
Special Segments of Triangles
Medians and Altitudes of Triangles (Special Segments)
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.
Special Segments of Triangles Advanced Geometry Triangle Congruence Lesson 4.
5.4Use Medians and Altitudes Theorem 5.8: Concurrency of Medians of a Triangle The medians of a triangle intersect at a point that is two thirds of the.
Constructions Centoids. Review of Prerquisite To construct a perpendicular bisector you need a... Fish. Let’s begin !
SPECIAL SEGMENTS OF TRIANGLES SECTIONS 5.2, 5.3, 5.4.
Warm Up Announcements  Test Friday  Homework: TEXAS Practice Test Pg. 194.
5.3 Concurrent Lines, Medians, and Altitudes Stand 0_ Can you figure out the puzzle below??? No one understands!
The 5 special segments of a triangle …again Perpendicular bisector Angle bisector Median Altitude Perpendicular and thru a midpoint of a side Bisects an.
MEDIANS AND ALTITUDES SECTION 5.4. MEDIANS OF A TRIANGLE A median of a triangle is a segment from a vertex to the midpoint of the opposite side.
5.3 CONCURRENT LINES, MEDIANS AND ALTITUDES PART B LEQ: How do we construct and use medians and altitudes?
LESSON FIFTEEN: TRIANGLES IN TRAINING. MORE TRIANGLE PROPERTIES In the last lesson, we discussed perpendicular bisectors and how they intersect to create.
Ch. 5 – Properties of Triangles
Section 5-3 Concurrent Lines, Medians, and Altitudes.
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.
5-2 Median & Altitudes of Triangles
WARM UP March 11, Solve for x 2. Solve for y (40 + y)° 28° 3x º xºxºxºxº.
Geometry Chapter 5 Lesson 4 Use Medians and Altitudes.
Geometry 5-3b Medians and Altitudes. Definitions Median of a triangle – a segment whose endpoints are a vertex and the midpoint of the opposite side Altitude.
Warm Up Week 7. Geometry 5.3 Day 1 I will use properties of medians of a triangle. A segment with endpoints on a vertex and the midpoint of the.
Bellwork 1)If, what is ? 2)If, what is ? 3)If, what is ? What is x?
Unit Essential Question: How do you use the properties of triangles to classify and draw conclusions?
5.4 Use Medians and Altitudes.. Vocabulary… Concurrent- 3 or more lines, rays, or segments that intersect at the same point Median of a Triangle – a segment.
Use Medians and Altitudes
Medians Median vertex to midpoint.
Use Medians and Altitudes
Medians, and Altitudes.
5-4 Medians and Altitudes
In your journal: Medians and Altitudes
Section 5. 3: Use Angle Bisectors in Triangles Section 5
Medians, Altitudes and Perpendicular Bisectors
Special Segments in a Triangle
Transformations Transformation is an operation that maps the original geometric figure, the pre-image , onto a new figure called the image. A transformation.
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
Vocabulary and Examples
Angle Bisectors & Medians.
Lines Associated with Triangles 4-3D
Geometry 5.2 Medians and Altitudes of a Triangle
Bisectors, Medians and Altitudes
5-1 HW ANSWERS Pg. 327 # Even 18. CF 10. PS = DA & DB
Lesson 5-3: Bisectors in Triangles
Centroid Theorem By Mario rodriguez.
Medians and Altitudes Median – A segment whose endpoints are a vertex of a triangle and the midpoint of the side opposite the vertex. Centroid – The point.
5.4 Medians and Altitudes Say what?????.
8.3 Medians and Altitudes of Triangles
5-3 VOCABULARY Median of a triangle Centroid of a triangle
Medians and Altitudes of Triangles
5.3 Concurrent Lines, Medians, and Altitudes
5.4 Medians and Altitudes.
MID-TERM STUFF HONORS GEOMETRY.
Warm Up– in your notebook
9-8: Transversals to Many Parallel Lines
5-2 Medians and Altitudes of Triangles
Warm Up: Is the triangle right, acute or obtuse?
concurrency that we will be discussing today.
Presentation transcript:

4.6 Medians of a Triangle

Activity 4.6 Intersecting Medians

Vocabulary A MEDIAN of a triangle is a segment from a vertex to the midpoint of the opposite side. A CENTRIOD is the point where the three medians of a triangle meet.

Example 1 Draw a median

Intersection of Medians of a Triangle Theorem The medians of a triangle intersect at the centroid, a point that is two thirds of the distance from each vertex to the midpoint of the opposite side.

Example 2 Use the centroid of a triangle

Example 3 Use the centroid of a triangle

You Try It…