Math Humor Q: What do you do when it rains? A: Coincide!

Slides:

Advertisements

Similar presentations

Date: Sec 5-4 Concept: Medians and Altitudes of a Triangle

Advertisements

 bisector m  BAE  m  EAC  bisect AD = BD, AD  DG, BD  DG  bisector m  ABG  m  GBC 16. (-2.5, 7)25.

Find each measure of MN. Justify Perpendicular Bisector Theorem.

Medians and Altitudes 5-3 of Triangles Section 5.3

5-3 Concurrent Lines, Medians, Altitudes

5.4 Medians and Altitudes A median of a triangle is a segment whose endpoints are a vertex and the midpoint of the opposite side. A triangle’s three medians.

Medians and Altitudes 5-4 of Triangles Warm Up Lesson Presentation

3.7—Medians and Altitudes of a Triangle Warm Up 1. What is the name of the point where the angle bisectors of a triangle intersect? Find the midpoint of.

Warm Up 1. What is the name of the point where the angle bisectors of a triangle intersect? Find the midpoint of the segment with the given endpoints.

5-3 Medians and Altitudes of triangles

5-3 M EDIANS AND A LTITUDES OF A T RIANGLE  Use the properties of Medians of a triangle  Use the properties of Altitude of a triangle.

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

Holt Geometry 5-3 Medians and Altitudes of Triangles Warm Up 1. What is the name of the point where the angle bisectors of a triangle intersect? Find the.

Warm-Up Find the area of each triangle

Medians and Altitudes 5-3 of Triangles Warm Up Lesson Presentation

Medians and Altitudes 5-3 of Triangles Warm Up Lesson Presentation

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

5.4 – Use Medians and Altitudes Length of segment from vertex to midpoint of opposite side AD =BF =CE = Length of segment from vertex to P AP =BP =CP =

Holt Geometry Medians and Altitudes of Triangles Entry Task 1. How do you multiply fractions? What is 2/3 * 1/5? Find the midpoint of the segment with.

Math 1 Warm-ups Fire stations are located at A and B. XY , which contains Havens Road, represents the perpendicular bisector of AB . A fire.

5-3: Medians and Altitudes (p. 10). Apply properties of medians of a triangle. Apply properties of altitudes of a triangle. Objectives: 5-3: Medians and.

 TEKS Focus:  (6)(D) Verify theorems about the relationships in triangles, including proof of the Pythagorean Theorem, the sum of interior angles, base.

Holt Geometry 5-3 Medians and Altitudes of Triangles Warm Up 1. What is the name of the point where the angle bisectors of a triangle intersect? Find the.

Holt McDougal Geometry 5-3 Medians and Altitudes of Triangles 5-3 Medians and Altitudes of Triangles Holt Geometry Warm Up Warm Up Lesson Presentation.

Section 5-3 Medians and Altitudes of Triangles. A median of a triangle is a segment whose endpoints are a vertex of the triangle and the midpoint of the.

Holt Geometry 5-3 Medians and Altitudes of Triangles 5-3 Medians and Altitudes of Triangles Holt Geometry Warm Up Warm Up Lesson Presentation Lesson Presentation.

Objectives Apply properties of medians and altitudes of a triangle.

Warm Up 1. What is the name of the point where the angle bisectors of a triangle intersect? Find the midpoint of the segment with the given endpoints.

Use Medians and Altitudes

5-4 Medians and Altitudes

Medians and Altitudes 5-2 of Triangles Warm Up Lesson Presentation

Medians and Altitudes 5.3.

Chapter 5 Lesson 3 Objective: To identify properties of medians and altitudes of a triangle.

Objectives Apply properties of medians and altitudes of a triangle.

Medians and Altitudes of a Triangle

Special Segments in Triangles

Medians and Altitudes 5-3 of Triangles Warm Up Lesson Presentation

Medians and Altitudes 5-3 of Triangles Warm Up Lesson Presentation

Warm Up 1. What is the name of the point where the angle bisectors of a triangle intersect? incenter.

Warm Up 1. Draw a triangle and construct the bisector of one angle.

LT 10.6: Know and apply surface area and volume for pyramids and cones

5-4 Medians and Altitudes

Centroid Theorem By Mario rodriguez.

Medians and Altitudes 5-3 of Triangles Warm Up Lesson Presentation

Medians and Altitudes 5-3 of Triangles Warm Up Lesson Presentation

5-3: Medians and Altitudes of Triangles

Points of Concurrency Lessons

Learning Target will be able to: Apply properties of medians of a triangle and apply properties of altitudes of a triangle.

Warm Up 5.1 skills check!. Warm Up 5.1 skills check!

Medians and Altitudes 5-3 of Triangles Warm Up Lesson Presentation

Class Greeting.

5.4 Medians and Altitudes.

Every triangle has three medians, and the medians are concurrent.

Medians and Altitudes 5-3 of Triangles Warm Up Lesson Presentation

Medians and Altitudes 5-3 of Triangles Warm Up Lesson Presentation

Vocabulary median of a triangle centroid of a triangle

Objectives Apply properties of medians of a triangle.

Medians and Altitudes 5-3 of Triangles Warm Up Lesson Presentation

Medians and Altitudes 5-3 of Triangles Warm Up Lesson Presentation

Bisectors of a Triangle

Medians and Altitudes 5-3 of Triangles Warm Up Lesson Presentation

Medians and Altitudes 5-3 of Triangles Warm Up Lesson Presentation

Warm Up– in your notebook

Medians and Altitudes 5-3 of Triangles Warm Up Lesson Presentation

Medians and Altitudes.

Medians and Altitudes of Triangles Warm Up Lesson Presentation

Midpoint and Median P9. The midpoint of the hypotenuse of a right triangle is equidistant from the 3 vertices. P12. The length of a leg of a right triangle.

Medians and Altitudes 5-3 of Triangles Warm Up Lesson Presentation

Learning Target I can: Apply properties of medians of a triangle and apply properties of altitudes of a triangle.

Presentation transcript:

Math Humor Q: What do you do when it rains? A: Coincide!

LT 5.3: Apply properties of medians and altitudes of triangles

Example In , RL = 21, and SQ = 4. Find each length. LS 14 NQ 12

Example A sculptor is shaping a triangular piece of iron that will balance on a point of a cone. At what coordinates will the triangular region balance? Point of intersection of 3 medians, so find 2 Midpoint (8,6.5) (7, 4) (9, 4.5) x = 8 and y = x – 3 (8, 5)

Example Find the orthocenter of ΔXYZ with vertices X(-4, 2), Y(-2, 6), and Z(2, 2).