verify, by paper cutting and pasting, that an exterior angle of a triangle is equal to the sum of two interior opposite angles with Aim,previous knowledge required, Materials required,Procedure, Observations and Results.
Answers
Answer:
Everything else except figure is given here. For figure, arrange it by yourself.
Step-by-step explanation:
OBJECTIVE
To verify exterior angle property of a triangle.
Materials Required
Cardboard sheet
Adhesive
Glazed papers
White chart paper
Geometry box
Tracing paper
Cutter
Prerequisite Knowledge
Exterior angle property of a triangle.
Theory
Procedure
Take a cardboard sheet of suitable size and by using adhesive, paste a white chart paper on it.
Cut out a ΔABC from a glazed paper and paste it on the cardboard,
Now, produce the side BC of ΔABC to the point D.
Cut out the pair of angles, ∠A and ∠B from the glazed paper by using a tracing paper,
Now, arrange the cut out angles
Demonstration
∠ACD is an exterior angle.
∠A and ∠B are its two interior opposite angles.
The two cut out angles, ∠A and ∠B together completely cover ∠ACD. So, ∠ACD = ∠A + ∠B.
Observation
Measure of ∠A = ……… , and ∠B = ……… ,
Sum of (∠A + ∠B) = ……… , and measure of ∠ACD = ……… ,
Therefore, ∠ACD = ∠A + ∠B.
Result
We have verified the exterior angle property of a triangle.
Application
Many geometrical problems may be easily done, using this property of a triangle.
Answer:
To verify the exterior angle property of any polgon by paper cutting and postings pasting.