1-4 Measuring Segments and Angles

1-4 Measuring Segments and Angles - Protractor Postulate...

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Measuring Segments and Angles Section 1-4
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Distance of 2 points on a number line A B d - = A B 3 -1 4 ) 1 ( 3 = - - = AB
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Ruler Postulate The points of a line can be put into one-to-one correspondence with the real numbers so that the distance between any two points is the absolute value of the difference of the corresponding numbers.
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Segment Addition Postulate If B is between A and C, then AB + BC = AC A C B
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congruent segments – segments that have equal lengths The midpoint of a segment is the point that divides the segment into 2 congruent segments. A B C D CD AB 2245 CD AB 2245 A B M
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angle a figure consisting of 2 noncollinear rays with a common endpoint. The 2 rays are called the sides of the angle. The common endpoint is called the vertex .
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The sides of the angle are . The vertex is B. You could name this angle as B A C BC and BA 1 . 1 , , , or CBA ABC
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Unformatted text preview: Protractor Postulate Given and a number r between 0 and 180, there is exactly one ray with endpoint A, extending on either side of , such that the measure of the angle formed is r . AB AB Right angle = 90 Acute angle < 90 Obtuse angle > 90 Straight angle = 180 Angle Addition Postulate • If R is in the interior of , then • Converse is also true. PQS ∠ . PQS m RQS m PQR m ∠ = ∠ + ∠ P S Q R • congruent angles – angles that have equal measures. • adjacent angles – 2 angles in a plane that have a common vertex and a common side but no common interior points 30 30 1 2 adjacent are 2 & 1 ∠ ∠ 1 The bisector of an angle is a ray that divides the angle into 2 congruent adjacent angles. 2 2 1 ∠ 2245 ∠ Angle bisector...
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