Difference between revisions of "Congruence in triangles – SAS Rule"

Latest revision as of 16:31, 30 October 2019

Given two sides and an angle of two triangles are equal, are the two triangles congruent? This activity investigates the position of the given angle for the two triangles to be congruent.

Objectives

Compare given sides and angles to check for triangle congruency
Understand the angle given should be included angle

Estimated Time

30 minutes

Prerequisites/Instructions, prior preparations, if any

Prior knowledge of point, lines, angles, elements of triangle, close figures

Materials/ Resources needed

Digital : Computer, geogebra application, projector.
Non digital : Worksheet and pencil.
Geogebra files : “SAS congruency.ggb”

Download this geogebra file from this link.

Process (How to do the activity)

If one side is fixed and an angle is fixed will the two triangles be congruent?
How many triangles can be possible for a given side and a given angle?
What is the other parameter that needs to be fixed?
If two sides are congruent in two triangles will the triangles be congruent.
Do you need another parameter for the two triangles to be congruent. What other parameter is required - Angle / Side
If another side is fixed – which rule of congruency does it become?
Which other angle is required to be fixed for the two triangles to be congruent?
HW : Construct two triangles with one side and one angle same. Check if they are

Evaluation at the end of the activity

Students should understand if two sides are given the angle should be included for the triangles to be congruent.
Students should be able to compare the parameters given to check for congruence

@@ Line 1: / Line 1: @@
-===Name of the activity===
+Given two sides and an angle of two triangles are equal, are the two triangles congruent? This activity investigates the position of the given angle for the two triangles to be congruent.
-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
+*Compare given sides and angles to check for triangle congruency
+*Understand the angle given should be included angle
-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 ===
+Prior knowledge of point, lines, angles, elements of triangle, close figures
 ===Materials/ Resources needed===
+*Digital : Computer, geogebra application, projector.
+*Non digital : Worksheet and pencil.
+*Geogebra files : 	“'''[https://ggbm.at/qy9nejqy SAS congruency.ggb]'''”
+{{Geogebra|qy9nejqy}}
 ===Process (How to do the activity)===
-How to do the different steps of the activity?
+*If one side is fixed and an angle is fixed will the two triangles be congruent?
+*How many triangles can be possible for a given side and a given angle?
-What kinds of questions you can ask for that activity
+*What is the other parameter that needs to be fixed?
+*If two sides are congruent in two triangles will the triangles be congruent.
-What are the student follow-up activities/ questions you can give?
+*Do you need another parameter for the two triangles to be congruent. What other parameter is required - Angle / Side
+*If another side is fixed – which rule of congruency does it become?
-Categories:  (Subject) (Topic) (Sub-concept/topic) (Class 6) (Resource format)
+*Which other angle is required to be fixed for the two triangles to be congruent?
+*HW : Construct two triangles with one side and one angle same. Check if they are
+'''Evaluation at the end of the activity'''
+*Students should understand if two sides are given the angle should be included for the triangles to be congruent.
+*Students should be able to compare the parameters given to check for congruence
-Example -  (Mathematics) (Triangle) (Area) (Perimeter) (Class 6) (Class 8) (Geogebra) (Video)
+[[Category:Triangles]]
+[[Category:Class 8]]