Difference between revisions of "Perpendicular bisectors and circumcenter of a triangle"

Latest revision as of 11:14, 5 November 2019

Circumcentre for different types of triangles is investigated with this activity and this further explores several geometric relationships related to the circumcentre and perpendicular bisectors.

Objectives

Introduce perpendicular bisectors in a triangle and their point of concurrence.

Estimated Time

30 minutes.

Prerequisites/Instructions, prior preparations, if any

Ensure that circles, triangles, perpendicular bisectors and their constructions are covered

Materials/ Resources needed

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

Geogebra files: Concurrency of perpendicular bisectors.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:

What is a perpendicular bisector ?
How do you construct it ?
Identify the point of intersection of perpendicular bisectors in different triangles.
What is circumcircle ?

Evaluation:

How is circumradius determined ?
What parts of the circle is circumcircle touching ?

Question Corner:

What are the practical applications of determining the circumcircle ?

@@ Line 1: / Line 1: @@
-===Name of the activity===
+Circumcentre for different types of triangles is investigated with this activity and this further explores several geometric relationships related to the circumcentre and perpendicular bisectors.
-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 ===
+===Objectives===
-Content objectives  - what content areas
+Introduce perpendicular bisectors in 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 ===
+Ensure that circles, triangles, perpendicular bisectors and their constructions are 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 files: [https://ggbm.at/fjvr55jd Concurrency of perpendicular bisectors.ggb]
-What are the student follow-up activities/ questions you can give?
+{{Geogebra|fjvr55jd}}
-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:
+#What is a perpendicular bisector ?
+#How do you construct it ?
+#Identify the point of intersection of perpendicular bisectors in different triangles.
+#What is circumcircle ?
+*Evaluation:
+#How is circumradius determined ?
+#What parts of the circle is circumcircle touching ?
+*Question Corner:
+#What are the practical applications of determining the circumcircle ?
-Example -  (Mathematics) (Triangle) (Area) (Perimeter) (Class 6) (Class 8) (Geogebra) (Video)
+[[Category:Triangles]]