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1.3 Collinearity , Betweeness , and Assumptions

1.3 Collinearity , Betweeness , and Assumptions. For any three points, there are only two possibilities…. They are collinear. ( Betweeness of Points) They are noncollinear . (Triangle)

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1.3 Collinearity , Betweeness , and Assumptions

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  1. 1.3 Collinearity, Betweeness, and Assumptions

  2. For any three points, there are only two possibilities… • They are collinear. (Betweeness of Points) • They are noncollinear. (Triangle) • Triangle Inequality: The sum of the lengths of any two sides of a triangle is always greater than the length of the third

  3. What can we assume? D (2x+12)° (3x-32)° B A C Find the measure of angle DBC.

  4. What points are collinear with c? • Can we assume • Is • What is D I C H B E G F A

  5. Triangle Inequality AB is 14 units long. BC is 7 units long AC is 20 units long. Draw a diagram. Is this a line segment or a triangle?

  6. Two side lengths of a triangle are 7 cm and 9 cm. What possible lengths could the third side have?

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