Download presentation

Presentation is loading. Please wait.

1
**RULER POSTULATES & SEGMENT ADDITION**

This stuff is AWESOME!

2
POSTULATE A STATEMENT ABOUT GEOMETRIC FIGURES ACCEPTED AS TRUE WITHOUT PROOF.

3
Ruler Postulate The points on a line can be placed in a one-to-one correspondence with real numbers so that For every point on the line, there is exactly one real number. For every real number, there is exactly one point on the line. The distance between any two points is the absolute value of the difference of the corresponding real numbers.

4
**Ruler Placement Postulate**

Given two points, A and B on a line, the number line can be chosen so that A is at zero and B is at a positive number.

5
**NOTATION AB means the line segment with endpoints A and B.**

AB means the distance between A and B. A B AB = 14 cm

6
**BETWEEN D G E C E is between C and D. G is not between C and D.**

For one point to be between two other points, the three points must be collinear. C

7
**SEGMENT ADDITION POSTULATE**

If Q is between P and R, then PQ + QR = PR. What does this mean? Start with a picture: P R Q If point Q is between points P and R, then the distance between P and Q plus the distance between Q and R is equal to the distance between P and R.

8
**SEGMENT ADDITION POSTULATE**

If PQ + QR = PR, then Q is between P and R. What does this mean? If the measure of segment PQ plus the measure of segment QR is equal to the measure of segment PR, then point Q must be between points P and R. 12 3 PR = 15 P R Q 14 3 Q P 15 R

9
**NOTE CARD Segment Addition Postulate #2**

If Q is between P and R, then PQ + QR = PR. If PQ + QR = PR, then Q is between P and R. P R Q

10
**Q is between R and T. RT = 18 and QR = 10. Find QT.**

N is between L and P. LN = 14 and PN = 12. Find LP. L 14 N 12 P Q is between R and T. RT = 18 and QR = 10. Find QT. 10 R Q T 18

11
**Find MN if N is between M and P, MN = 3x + 2, NP = 18, and MP = 5x.**

3x = 5x 3x + 20 = 5x -3x x 20 = 2x 10 = x

Similar presentations

OK

Day Problems 9/12/12 1.Name the intersection of plane AEH and plane GHE. 2.What plane contains points B, F, and C? 3.What plane contains points E, F, and.

Day Problems 9/12/12 1.Name the intersection of plane AEH and plane GHE. 2.What plane contains points B, F, and C? 3.What plane contains points E, F, and.

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on surfing the net safely Ppt on group decision making techniques Ppt only output devices Ppt on asian continent videos Ppt on airport site selection Ppt on articles of association for non-profit Ppt on history of olympics in greece Ppt on force and pressure for class 9 Convert 2007 to 2003 ppt online Ppt on statistics and probability review