10.2 Angles CA-235 Class Activity 10F Seeing That the Angles in a Triangle Add t

Question

10.2 Angles CA-235 Class Activity 10F Seeing That the Angles in a Triangle Add to 180 You will need a ruler and scissors for this activity. ork with a group of people. Each person in your group should do the following: 1. Using a ruler, draw a large triangle that looks different from the triangles of other group members, Cut out your triangle. Label the three angles a, b, and c. Tear or cut all 3 comers off your triangle. Then put the angles together point to point, without overlaps or gaps. What do you notice? What does this show you about the angles of the triangle? 2. Cut off the corners. Put the angles together 3. Discuss why the "putting the angles together" method of part 2 is not a proof. Consider these points . Does the method show that the angles add to exactly 180°? Has every triangle been considered?

Explanation / Answer

When the cut out pieces of the angles are put together, they make a semicircle. Since a semicircle forms an angle of 180, it can be claimed that the sum of the angles of a triangle is 180 degrees.

Since there is always some human error involved in cutting and assembling the pieces without overlapping, the answer may not come out to be precisely 180 degrees.

Also, you cannot consider every possible type of triangle through this method, and thus you need a mathematical proof.

Such type of activities are used to make your concepts clear and should not be considered as a proof.

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