Difference between revisions of "Congruence in triangles – SAS Rule"
Jump to navigation
Jump to search
m (removed Category:Classroom activities using HotCat) |
|||
| (5 intermediate revisions by 2 users not shown) | |||
| Line 1: | Line 1: | ||
| + | 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 === | === Objectives === | ||
*Compare given sides and angles to check for triangle congruency | *Compare given sides and angles to check for triangle congruency | ||
| Line 11: | Line 13: | ||
*Digital : Computer, geogebra application, projector. | *Digital : Computer, geogebra application, projector. | ||
*Non digital : Worksheet and pencil. | *Non digital : Worksheet and pencil. | ||
| − | *Geogebra files : “[https://ggbm.at/ | + | *Geogebra files : “'''[https://ggbm.at/qy9nejqy SAS congruency.ggb]'''” |
| + | {{Geogebra|qy9nejqy}} | ||
| + | |||
===Process (How to do the activity)=== | ===Process (How to do the activity)=== | ||
*If one side is fixed and an angle is fixed will the two triangles be congruent? | *If one side is fixed and an angle is fixed will the two triangles be congruent? | ||
| Line 24: | Line 28: | ||
*Students should understand if two sides are given the angle should be included for the triangles to be congruent. | *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 | *Students should be able to compare the parameters given to check for congruence | ||
| + | |||
| + | [[Category:Triangles]] | ||
| + | [[Category:Class 8]] | ||
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