Monday, 20 Sep 2021

# Illustrating the Need for an Axiomatic Structure of a Mathematical System in General

A line is a –dimensional figure that contains a set of points arranged in a row that extended infinitely in both directions. Two points determine a line. That is, two distinct points are contained by exactly one line. A line can be named using a lower case letter or any two points on the line.

Direction:  Write TRUE if the statement is correct and FALSE if the statement is wrong. Use the figure below for the given item.

E

1. Points A, B, C, D are collinear.
2. Points A, D, F are noncollinear
3. Points B, F and G are on the same line 4. Points G, C, D are not on the same line.
4. Points A, E, F are coplanar.
5. Points A, F, G are not coplanar. .
6. Points A, B, D , E are on the same plane.
7. Points A, B, F, E are coplanar.
8. Points A. B, D are collinear and coplanar.
9. Points B, F, C are collinear and coplanar.

Ans. Exercise 2:

1. FALSE

2. TRUE

3. FALSE

4. TRUE

5. TRUE

6. TRUE

7. FALSE

8. TRUE

9. FALSE

10. FALSE

## Exercise 3

Direction: Illustrate each of the following and label the diagram.

1. Point A lies in plane P.
2. Plane M contains line AB.
3. If two angles form a linear pair, then they are supplementary.
4. Vertical angles are congruent.

(ANS ON SEPARATE SHEET)

## Exercise 4

Direction: Complete the table.

.

## Exercise 5

Direction: Match the statements from column A to its corresponding terms in                       column B.

Questions:

1. Did you encounter any difficulties in illustrating the undefined and defined terms, postulates and theorems in Geometry? If yes, please specify.

Yes,  such as –dimensional figure that contains set of points arranged

in a row which extended infinitely in both directions.

• How did you illustrate the undefined and defined terms, postulates and theorems in Geometry?

I illustrate the undefined and defined terms, postulates and theorems in Geometry using the given label and the name of the lines, angles, and plane.

• Formulate your own real-life situation which illustrates postulates or theorems.

Now, are you going to accept her statement as true, or are you going to whip out a tape measure and measure the length of everyone’s hair to verify the truth of her statement? Most likely, you would accept her statement as true, because it’s fairly obvious that she has the longest hair in the group.

Image: Pexels

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