1 / 11

RULER POSTULATES & SEGMENT ADDITION

RULER POSTULATES & SEGMENT ADDITION. This stuff is AWESOME!. POSTULATE. A STATEMENT ABOUT GEOMETRIC FIGURES ACCEPTED AS TRUE WITHOUT PROOF. Ruler Postulate. The points on a line can be placed in a one-to-one correspondence with real numbers so that

jalene
Download Presentation

RULER POSTULATES & SEGMENT ADDITION

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript


  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 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. Whatdoes 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 15 P 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. N is between L and P. LN = 14 and PN = 12. Find LP. 14 12 L P N Q is between R and T. RT = 18 and QR = 10. Find QT. 10 R T Q 18

  11. Find MN if N is between M and P, MN = 3x + 2, NP = 18, and MP = 5x. 3x + 2 18 M P N 5x MN = 3 (10 ) + 2 MN = 32 3x + 2 + 18 = 5x 3x + 20 = 5x -3x -3x 20 = 2x 2 2 10 = x

More Related