Let’s Get It Started . . . Find the next two terms and describe the sequence in words: 5, 25, 125, 625, . . . , 1, 4, 9, 16, 25, . . . , 3,125 and 15,625.

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Presentation transcript:

Let’s Get It Started . . . Find the next two terms and describe the sequence in words: 5, 25, 125, 625, . . . , 1, 4, 9, 16, 25, . . . , 3,125 and 15,625 Multiply by 5 36 and 49 Perfect squares

Measuring Segments and Angles Lesson 1-4 Measuring Segments and Angles

Ruler Postulate The distance between two points is the absolute value of the difference between them. A B

Congruent Segments A B C D Two segments with the same length are congruent. A B C D A number (the measures are equal) The figures (segments are congruent)

Segment Addition Postulate If 3 points A, B, and C are collinear and B is between A and C, then A B C

Betweenness A B C A B C A B C 8 10 Collinear: if one point is between the other two, two of the distances add to the third. Non-collinear: the three points determine a triangle Triangle Inequality Theorem: the sum of the distances of any two sides of a triangle is always greater than the third. Ex: A triangle has sides of lengths 8 cm and 10 cm. What are possible lengths for the third side? A B C A B C A B C 8 10

Using the Segment Addition Postulate Q R S

Angles Angle: formed by two rays sharing an endpoint (vertex). Congruent Angles: angles with the same measure. Q 5 R S A 1 B 2 C D

Classifying Angles Acute Obtuse Right Straight

Angle Addition Postulate B A O C B A B O C C A O

Using the Angle Addition Postulate B O C

Using the Angle Addition Postulate R S P T reject

Using the Angle Addition Postulate B C Find each angle. A O D