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Date: Sec 5-4 Concept: Medians and Altitudes of a TriangleObjective: Given properties of medians and altitudes of triangles, we will solve problems as measured by a s.g.
Vocabulary and Theorems:Median of a Triangle: a segment whose endpoints are a vertex of the triangle and the midpoint of the opposite side Median
The centriod is known as a balancing pointCentroid: The centroid is the point of concurrency of the medians of a triangle. Centriod The centriod is known as a balancing point
Thm 5.7: Concurrency of Medians of a TriangleThe medians of a triangle intersect at a point that is 2/3 the distance from each vertex to the midpoint of the opposite side. 5 10
Altitude: The altitude of a triangle is the perpendicular segment from a vertex of a triangle to the opposite side or to the line that contains the opposite side Altitude
Orthocenter: The orthocenter is the point of concurrency of the altitudes of the triangle Orthocenter
Thm 5.8: Concurrency of Altitudes of a triangleThe lines containing the altitudes of a triangle are concurrent All altitudes intersect
4.6 Medians of a Triangle. Activity 4.6 Intersecting Medians.
Median and Altitude of a Triangle Sec 5.3 Goal: To use properties of the medians of a triangle. To use properties of the altitudes of a triangle.
Warm Up Announcements Test Friday Homework: TEXAS Practice Test Pg. 194.
Definition: A line that passes through the midpoint of the side of a triangle and is perpendicular to that side.
5-2 Median & Altitudes of Triangles The student will be able to: 1. Identify and use medians in triangles. 2. Identify and use altitudes in triangles.
Chapter 5.3 Concurrent Lines, Medians, and 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.
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.
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.
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.
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 Stand 0_ Can you figure out the puzzle below??? No one understands!
5.3: Concurrent Lines, Medians and Altitudes Objectives: Students will be able to… Identify properties of perpendicular bisectors and angle bisectors Identify.
5.3 Medians and Altitudes CentroidOrthocenter. Definition of a Median A median is a segment from a vertex of a triangle to the midpoint of its opposite.
LESSON FIFTEEN: TRIANGLES IN TRAINING. MORE TRIANGLE PROPERTIES In the last lesson, we discussed perpendicular bisectors and how they intersect to create.
Points of Concurrency The point where three or more lines intersect.
5.3 - Concurrent Lines, Medians, and Altitudes. When three or more lines intersect in one point, they are concurrent. The point at which they intersect.
Unit 5 Bisectors, Medians, and Altitudes Part 1.
Medians, Altitudes, and Angle Bisectors Honors Geometry Mr. Manker.
Perpendicular Bisectors ADB C CD is a perpendicular bisector of AB Theorem 5-2: Perpendicular Bisector Theorem: If a point is on a perpendicular bisector.
Bellwork 1)If, what is ? 2)If, what is ? 3)If, what is ? What is x?
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.
5.3 Medians and Altitudes in a Triangle. Median Segment whose endpoints are a vertex of a triangle and the midpoint of the opposite side. All three medians.
SPECIAL SEGMENTS OF TRIANGLES SECTIONS 5.2, 5.3, 5.4.
The 5 special segments of a triangle …again Perpendicular bisector Angle bisector Median Altitude Perpendicular and thru a midpoint of a side Bisects an.
Special Segments of Triangles Advanced Geometry Triangle Congruence Lesson 4.
5.3 CONCURRENT LINES, MEDIANS AND ALTITUDES PART B LEQ: How do we construct and use medians and altitudes?
1 Objectives To define, draw, and list characteristics of: –Midsegments –Altitudes –Perpendicular Bisectors –Medians.
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.
Lesson 12 – Points of Concurrency II. Page 53 The point of concurrency of the medians is known as the centroid which is the center of gravity.
Perpendicular Bisector- a line, segment, or ray that passes through the midpoint of the side and is perpendicular to that side Theorem 5.1 Any point.
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.
TODAY IN GEOMETRY… Warm up: Calculate midsegments Learning Target: 5.4 Identify the Medians of Triangles and the Centroid Independent Practice
5-3 Concurrent Lines, Medians, Altitudes When two lines intersect at one point, we say that the lines are intersecting. The point at which they intersect.
Warm-Up Find the area of each triangle
Chapter 5 Relationships in Triangles. Warm - Up Textbook – Page – 11 (all) This will prepare you for today’s lesson.
Special lines in Triangles and their points of concurrency Perpendicular bisector of a triangle: is perpendicular to and intersects the side of a triangle.
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.
Medians, and Altitudes. When three or more lines intersect in one point, they are concurrent. The point at which they intersect is the point of concurrency.
Median, Angle bisector, Perpendicular bisector or Altitude Answer the following questions about the 4 parts of a triangle. The possible answers are listed.
Points of Concurrency Triangles. Point of Concurrency- ________ or more lines (rays or segments) that intersect are called _____________. The point where.
MEDIANS AND ALTITUDES OF TRIANGLES (SPECIAL SEGMENTS)
Chapter 5, Section 1 Perpendiculars & Bisectors. Perpendicular Bisector A segment, ray, line or plane which is perpendicular to a segment at it’s midpoint.
Chapter Medians and Altitudes of triangles.
5.3 – Medians and Altitudes of a Triangle. Median = a segment from one vertex to the opposite midpoint of a Δ. All 3 medians intersect at the centroid.
Day 4 agenda Go over homework- 5 min Warm-up- 10 min 5.3 notes- 55 min Start homework- 20 min The students will practice what they learned in the computer.
Warm Up Homework – page 7 in packet Complete the “Location, Location, Location” worksheet. You will need to place points at each Store location in order.
Homework Quiz. Warmup Need Graph Paper/Compass 5.3 Concurrent Lines, Medians, and Altitudes.
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