Geometry Vocab Discussion Cont.

Here are some examples of questions that came from our class discussions this week.
1. Does every polygon with equal angles, have equal sides? -- This question came up when we were talking about equilateral triangles. After the boy asked the question, another boy raised his hand and said, "No". I said, "Why?" He said, "A rectangle has equal angles, but not equal sides."

2. What can you call a diagonal in a square that cuts the 90 degree angles in half?

3. Question two lead into the discovery that two right triangles make up a square. Also that the sum of all the angles in a triangle is 180 degrees and 180 degrees + 180 degrees = 360 degrees. 360 degrees is the sum of all the angles in a quadrilateral.

4. Are all angles that make up complementary angles acute? -- We used the definition of complementary angles and acute angles to come up with our answer.

5. Do all right triangles have complementary angles? --- They boys used the definition of a right triangle, the definition of complementary angles, and that the sum of all the angles in a triangle is 180 degrees.

6. Do 4 radii make up a circumference?

7. Do 6 radii make up a circumference?

--- To solve questions 6 and 7 we had to look at what circumference equaled.

8. Why do you call 22/7 Pi?

10. Could a diameter also be called a line of symmetry? -- This question came up when we were talking about what cuts a circle in half. One of the boys said a line of symmetry. We talked about how a diameter is like a line of symmetry in a circle. I loved how he made the connection.

*** The boys discovered on their own that if C=(pi)d, then circumference also equals two times Pi times radius. They were very proud of themselves for discovering this formula.


Similes:
The earth's core is like the diameter in a circle, because they both go straight though the center connecting each side.