Medians.

Slides:

Advertisements

Similar presentations

Advertisements

Brain Strain Find the value of x. x x x xx Special Segments in Triangles.

Unit 2 Find the Midpoint of a Line Segment Learning Goals: I can find the midpoint of a line segment by applying what I know about averages. I can solve.

Lesson 6-2 Altitudes and Perpendicular Bisectors.

Steps to finding equation of median. 1.Find midpoint of opposite side. 2.Use vertex and midpoint to find slope of median. 3.Use slope and either vertex.

1 Relationships in Triangles Bisectors, Medians, and Altitudes Section 6.1 – 6.3 Students Should Begin Taking Notes At Screen 4!!

Section 4.7 Medians, Altitudes, and Perpendicular Bisectors

4-7 Median, Altitude, and Perpendicular bisectors.

Basic Definitions in Geometry

8/9/2015 EQ: What are the differences between medians, altitudes, and perpendicular bisectors? Warm-Up Take out homework p.301 (4-20) even Check your answers.

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

Triangle – a three sided polygon (straight sides; closed) A B C 3 sides: 3 angles: 3 vertices: A, B, C.

Defining Triangles During this lesson, you will define triangles and their parts.

Find the missing angle ?0?0. Special Segments in Triangles.

Warm-up with 4.2 Notes on Isosceles Triangles 2) Copy Angle EBC and name it Angle LMN ) Copy EC and add.

Medians, altitudes, and perpendicular bisectors May 1, 2008.

MEDIANS, ALTITUDES, AND PERPENDICULAR BISECTORS October 13, 2009.

Lesson 12 – Points of Concurrency II

Warm Up 1.Give the restrictions on the third side of the triangle if the first two sides are 18 and Find x and y for both figures. 55°70° x y 100°

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

Centers of Triangles or Points of Concurrency Median.

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

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

What is an Isosceles Triangle? A triangle with at least two congruent sides.

Chapter 5.2 & 5.3 BISECTORS, MEDIANS AND ALTITUDES.

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

Points of Concurrency MM1G3e Students will be able to find and use points of concurrency in triangles.

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.

The intersection of the medians is called the CENTROID. How many medians does a triangle have?

Ch. 5 – Properties of Triangles

4.5 isosceles and Equilateral Triangles -Theorem 4.3: Isosceles Triangle theorem says if 2 sides of a triangle are congruent, then the angles opposite.

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

Sec 6.1 Median.

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

Unit Essential Question: How do you use the properties of triangles to classify and draw conclusions?

Centers of Triangles or Points of Concurrency

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.

Medians Median vertex to midpoint.

4.4 Altitudes, Medians, and Perpendicular Bisectors

Bisectors, Medians, and Altitudes

5-4 Medians and Altitudes

In your journal: Medians and Altitudes

5-1 Special Segments in Triangles

Medians, Altitudes and Perpendicular Bisectors

Relationships in Triangles

Special Segments in a Triangle

Perpendicular Bisector

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

Date: Topic: Altitudes, Medians, and Bisectors ____ (6.4)

Medians and Altitudes of a Triangle

Vocabulary and Examples

Special Segments in Triangles

Centers of Triangles or Points of Concurrency

Lines Associated with Triangles 4-3D

Bisectors, Medians and Altitudes

Relationships in Triangles

Chapter 5 Types of Segments

Acute Triangle Definition A triangle that has three acute angles.

4-7 Medians, Altitudes, and Perpendicular Bisectors

Medians Picture: Both sides are congruent Median vertex to midpoint.

Medians, Altitudes, & Perpendicular Bisectors

Lesson 5-3: Bisectors in Triangles

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

Parallelogram Definition A quadrilateral with two pairs of parallel sides.

4-7 Medians, Altitudes, and Perpendicular Bisectors

Corresponding Parts of Similar Triangles

MID-TERM STUFF HONORS GEOMETRY.

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.

Presentation transcript:

Medians

Medians Picture: Both sides are congruent Median vertex to midpoint

How many medians can a triangle have? 3 Median vertex to midpoint

11/18/2018 Midpoint- If you have a midpoint- then the segments on both sides are CONGRUENT! That is why you will see the “tick marks” For the measure of the entire line- add both sides!

M D P C 9 N 1. What is NC if NP = 18? 2. If DP = 7.5, find MP. 15

So if you are given the length of the entire side, how do you find a missing segment? If you are given the length of a segment, how to you find the entire side? If you have a median- what do you know about each side?

vertex to opposite side and perpendicular Altitude Picture: Altitude vertex to opposite side and perpendicular

The altitude is the “true height” of the triangle. 11/18/2018 Altitude The altitude is the “true height” of the triangle.

The altitude is the “true height” of the triangle. Tell whether each red segment is an altitude of the triangle. The altitude is the “true height” of the triangle. YES NO YES

Perpendicular Bisector Both sides are congruent- make sure you see this or it is NOT a perpendicular bisector Picture: Perpendicular Bisector midpoint and perpendicular

Tell whether each red segment is an perpendicular bisector of the triangle. NO NO YES