Question

Give 5 examples of Postulate and theorem using own words, based on real life experiences.
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Answer 1

Answer:

Postulate 1: A line contains at least two points.

Postulate 2: A plane contains at least three noncollinear points.

Postulate 3: Through any two points, there is exactly one line.

Postulate 4: Through any three noncollinear points, there is exactly one plane.

Postulate 5: If two points lie in a plane, then the line joining them lies in that plane.

Postulate 6: If two planes intersect, then their intersection is a line.

Theorem 1: If two lines intersect, then they intersect in exactly one point.

Theorem 2: If a point lies outside a line, then exactly one plane contains both the line and the point.

Theorem 3: If two lines intersect, then exactly one plane contains both lines.

Example 1: State the postulate or theorem you would use to justify the statement made about each figure.

Figure 1 Illustrations of Postulates 1–6 and Theorems 1–3.

(a)

Through any three noncollinear points, there is exactly one plane (Postulate 4).

(b)

Through any two points, there is exactly one line (Postulate 3).

(c)

If two points lie in a plane, then the line joining them lies in that plane (Postulate 5).

(d)

If two planes intersect, then their intersection is a line (Postulate 6).

(e)

A line contains at least two points (Postulate 1).

(f)

If two lines intersect, then exactly one plane contains both lines (Theorem 3).

(g)

If a point lies outside a line, then exactly one plane contains both the line and the point (Theorem 2).

(h)

If two lines intersect, then they intersect in exactly one point (Theorem 1).

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Answer 2

Answer:

Postulate

1.  0 is a natural number.

2. Sun rises to the east.

3.  The Earth turns 360 Degrees Everyday.

4. India is a Part of Asia.

5. All Planets revolve around the sun.

Theorem

1.  The amount of weight you lose seems just a fraction of the effort you put in dieting.

2.  Men will do 1/3 the packing and planning a woman will do for a vacation, yet take twice the amount of time to do it.

3.  If something is 10 times as personally revealing, 100 times the number of people will pay attention to it - and support you.

4.  The amount of Penny hair floating through my home is in direct proportion to the number of black pieces of clothing in my wardrobe.

5.  Pythagorean Theorem.

Step-by-step explanation:

Hope it helps.