1.2 Use Segments and Congruence

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Reflexive example: AB = AB Symmetric example: AB = BA

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Presentation transcript:

1.2 Use Segments and Congruence

OBJECTIVE Find the distance between two points on a line using the Segment Postulate.

Question: What is the distance Between Houston and El Paso? What if I know that Houston – Austin = 162.7 mi Austin – El Paso = 577.0 mi.

SEGMENT ADDITION POSTULATE Let points A, B and C be collinear points. If B is between A and C, then AB + BC = AC* *AC defines distance, whereas AC defines a segment.

GUIDED PRACTICE 1. Use the diagram to find AB.

GUIDED PRACTICE 2. Use the diagram to find BC. 36 21

GUIDED PRACTICE Find DT.

GUIDED PRACTICE

GUIDED PRACTICE If: JH=2X JK=3X KH=25 A. Find HJ B. Find JK

CONGRUENCE 2 lines that have the same measurement. Congruence symbol: THUS: AB CD

BIG QUESTIONS What is the difference between: AB and AB AB = CD and AB CD

BIG QUESTION Is AB + BC = AC ? B A C