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Lesson 1-2 Section 1-4
22

Lesson 1-2 Section 1-4. Postulate Definition Example 1.

Jan 01, 2016

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Bertram Barton
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Page 1: Lesson 1-2 Section 1-4. Postulate Definition Example 1.

Lesson 1-2Section 1-4

Page 2: Lesson 1-2 Section 1-4. Postulate Definition Example 1.

Postulate

Page 3: Lesson 1-2 Section 1-4. Postulate Definition Example 1.

Definition

Page 4: Lesson 1-2 Section 1-4. Postulate Definition Example 1.

Example 1

Page 5: Lesson 1-2 Section 1-4. Postulate Definition Example 1.

Example 2

Page 6: Lesson 1-2 Section 1-4. Postulate Definition Example 1.

Definition

Page 7: Lesson 1-2 Section 1-4. Postulate Definition Example 1.

Construction

Page 8: Lesson 1-2 Section 1-4. Postulate Definition Example 1.

Postulate

Page 9: Lesson 1-2 Section 1-4. Postulate Definition Example 1.

Example 3

Page 10: Lesson 1-2 Section 1-4. Postulate Definition Example 1.

Example 4

Page 11: Lesson 1-2 Section 1-4. Postulate Definition Example 1.

Example 5

Page 12: Lesson 1-2 Section 1-4. Postulate Definition Example 1.

What about the distance?

We used the ruler postulate for finding the distance between two points on a line, but how can we find the distance of a line in a coordinate plane?

Let’s see…..

Page 13: Lesson 1-2 Section 1-4. Postulate Definition Example 1.

Definition

Page 14: Lesson 1-2 Section 1-4. Postulate Definition Example 1.

Example 6

Page 15: Lesson 1-2 Section 1-4. Postulate Definition Example 1.

Example 7

Page 16: Lesson 1-2 Section 1-4. Postulate Definition Example 1.

Is there another way?

We have now mastered finding the distance between two points in the coordinate plane. However, there is another way of going about it.

We can use a very famous theorem: The Pythagorean Theorem. Let’s see how we do that….

Page 17: Lesson 1-2 Section 1-4. Postulate Definition Example 1.

Definition

Page 18: Lesson 1-2 Section 1-4. Postulate Definition Example 1.

Example 8

Page 19: Lesson 1-2 Section 1-4. Postulate Definition Example 1.

Example 8 cont.

Page 20: Lesson 1-2 Section 1-4. Postulate Definition Example 1.

Example 8 cont.

Page 21: Lesson 1-2 Section 1-4. Postulate Definition Example 1.

Example 9

Page 22: Lesson 1-2 Section 1-4. Postulate Definition Example 1.

Practice

Try the following problems:

Pg. 32 # 5-15 odd , 12