1 / 6

1.2 Use Segments and Congruence

1.2 Use Segments and Congruence. The Ruler Postulate. The distance between two points on a line is the absolute value of the difference of the coordinates of the two points. AB = | x 2 – x 1 |. A. B. x 1. x 2. Segment Addition Postulate. If B is between A and C then. AB. = AC.

ina
Download Presentation

1.2 Use Segments and Congruence

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. 1.2 Use Segments and Congruence

  2. The Ruler Postulate • The distance between two points on a line is the absolute value of the difference of the coordinates of the two points. AB = |x2 – x1| A B x1 x2

  3. Segment Addition Postulate • If B is between A and C then AB = AC + BC AC AB BC C A B

  4. Congruent Segments • Two segments are congruent if they have the same length. A B 12 D C 12 AB is congruent to CD AB = CD ~

  5. N M P Q • Explain what MN means and what MN means. • If PQ = 4 and QN = 5, what is PN? • If MP = 3 and MN = 14, what is PN? • MN is the line segment itself • MN means the length of the line segment • PN = PQ + QN = 4 + 5 = 9 • PN = MN – MP = 14 – 3 = 11

  6. Plot the points then tell whether the line segments are congruent. 1. A(0, 1), B(4,1), C(1,2), D(1,6) AB & CD? 2. J(-6,-8), K(-6,-2), L(-2,-4), M(-6,-4) JK & LM? AB = 4 – 0 = 4 CD = 6 - 2 = 4 ~ AB = CD JK = -2 – (-8) = -2 + 8 = 6 LM = -6 – (-2)= -6 + 2 = |-4| = 4 ~ JK ≠ LM

More Related