Difference between revisions of "Altitudes and orthocenter of a triangle"

Latest revision as of 12:47, 29 October 2019

An altitude of a triangle is a line segment that is drawn from the vertex to the opposite side and is perpendicular to the side. A triangle can have three altitudes. Point of intersection of these lines for different types of triangles is explored.

Objectives

Introduce altitudes of a triangle and their point of concurrence.

Estimated Time

30 minutes

Prerequisites/Instructions, prior preparations, if any

Types of triangles and concept of altitudes should have been covered.

Materials/ Resources needed

Digital resources: Laptop, geogebra file, projector and a pointer.

Geogebra resources: Concurrency of altitudes.ggb

Download this geogebra file from this link.

Process (How to do the activity)

Project the geogebra file and ask the following questions.

Developmental Questions:

Which type of triangle is this ?
What is an altitude ?
How do we construct an altitude ?
What is the point of concurrence of 3 altitudes called ?
Identify the position of point of concurrence in different triangles.

Evaluation:

What are the positions of orthocentre in different types of triangles.

Question Corner:

Find the applications of orthocentre.

@@ Line 1: / Line 1: @@
-===Name of the activity===
+An altitude of a triangle is a line segment that is drawn from the vertex to the opposite side and is perpendicular to the side.  A triangle can have three altitudes. Point of intersection of these lines for different types of triangles is explored.
-Brief blurb describing what the activity.  If this has been borrowed from some external web site (for example, a non OER or OER site which had this idea and based on which the activity was developed)
 === Objectives ===
-Content objectives  - what content areas
+Introduce altitudes of a triangle and their point of concurrence.
-Skill objectives - what specific skills
-Classroom objectives - to demo peer learning, to make a classroom resource, etc -
-All these kinds of objectives need not be there for every activity.  And no need to list them as different headings.  This is only for our reference when we are developing activities.
 ===Estimated Time===
+minutes
-=== Prerequisites/Instructions, prior preparations, if any ===
+===Prerequisites/Instructions, prior preparations, if any===
+Types of triangles and concept of altitudes should have been covered.
 ===Materials/ Resources needed===
-===Process (How to do the activity)===
+Digital resources: Laptop, geogebra file, projector and a pointer.
-How to do the different steps of the activity?
-What kinds of questions you can ask for that activity
+Geogebra resources: [https://ggbm.at/kk3npbgq Concurrency of altitudes.ggb]
-What are the student follow-up activities/ questions you can give?
+{{Geogebra|kk3npbgq}}
-Categories:  (Subject) (Topic) (Sub-concept/topic) (Class 6) (Resource format)
+===Process (How to do the activity)===
+#Project the geogebra file and ask the following questions.
+*Developmental Questions:
+#Which type of triangle is this ?
+#What is an altitude ?
+#How do we construct an altitude ?
+#What is the point of concurrence of 3 altitudes called ?
+#Identify the position of point of concurrence in different triangles.
+*Evaluation:
+#What are the positions of orthocentre in different types of triangles.
+*Question Corner:
+#Find the applications of orthocentre.
-Example -  (Mathematics) (Triangle) (Area) (Perimeter) (Class 6) (Class 8) (Geogebra) (Video)
+[[Category:Triangles]]