In this post we write about making of the exterior angle property – theorem working model – maths tlm – triangle using cardboard in simple and easy manner
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Creating a working model to demonstrate the exterior angle property of a triangle using cardboard and syringes is a great hands-on project.
The exterior angle property states that the measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles.
Here’s how you can create this model:
Materials Needed:
- Cardboard (for triangles and base)
- Syringes (without needles)
- Plastic tubing (to connect syringes)
- Ruler
- Scissors or craft knife
- Glue or hot glue gun
- Protractor (for accurate angle measurement)
- Marker or pen
- Color paper (optional, for decoration)
- Tape
Step by Step Video Making on exterior angle property – theorem working model – maths tlm
1. Prepare the Triangles and Base
- Base Preparation:
- Cut a large rectangular piece of cardboard to serve as the base of your model. This will hold the triangles and syringes.
- Triangle Construction:
- Cut out three identical triangles from the cardboard. Make sure they are all equilateral triangles for simplicity.
- Label the vertices of each triangle as A, B, and C.
2. Create the Exterior Angle Mechanism
- Create the Exterior Angle:
- Extend one side of each triangle to form an exterior angle. For example, extend side BC to form the exterior angle at vertex A.
- Cut a small piece of cardboard to represent the exterior angle and attach it to the extended side of the triangle using a hinge made from tape. This piece should be able to move.
- Attach Syringes:
- Attach one syringe to each triangle at vertex A where the exterior angle is formed.
- Attach another syringe to the cardboard base. These syringes will be used to move the triangles to demonstrate the property.
- Connect Syringes with Tubing:
- Connect the syringes using plastic tubing. Make sure the tubing is securely attached to the syringes.
- When you push the plunger of one syringe, it should move the corresponding triangle, demonstrating the exterior angle property.
3. Assemble the Model
- Fix the Triangles on the Base:
- Attach the triangles to the cardboard base using glue or tape. Ensure that the syringes are properly aligned and can move the triangles without obstruction.
- Mark the Angles:
- Use a protractor to measure and mark the angles on each triangle.
- Label the interior angles (∠A, ∠B, ∠C) and the exterior angle (∠A’).
4. Demonstrate the Exterior Angle Property
- Push the Syringe:
- Push the plunger of the syringe attached to the triangle. This will move the triangle and the exterior angle.
- Observe how the movement of the syringe affects the exterior angle.
- Show the Property:
- Demonstrate that the measure of the exterior angle (∠A’) is equal to the sum of the measures of the two non-adjacent interior angles (∠B + ∠C).
By following these steps, you can create an effective and interactive working model that demonstrates the exterior angle property of triangles.