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ANGLES. ANGLES. R. We write: PR. P. RAY. part of a line. goes forever in one direction. has one endpoint. ray. a line. a point. angle. two rays with a common endpoint. side. vertex. side. opposite rays. interior. exterior. A. Angles are measured in DEGREES. 30 °.
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ANGLES ANGLES
R We write: PR P RAY part of a line goes forever in one direction has one endpoint ray a line a point
angle two rays with a common endpoint side vertex side
interior exterior
A Angles are measured in DEGREES 30° m A = 30
30° A B Angles are measured in DEGREES 45° m B = 45
A 45° B C 30° Angles are measured in DEGREES 90° m C = 90
D A B 90° C 45° 30° Angles are measured in DEGREES 135° m D = 135
30° A F 45° B 90° C D 135° Angles are measured in DEGREES 180° m F = 180
4 angle names 4
A angle names A
B C A D angle names BAD or DAB
B C A D angle names BAC or CAB
B C A D angle names CAD or DAC
5 1 2 m1 + m 2 = m 5 ANGLE ADDITION POSTULATE
Q P QOP ROQ O R mROQ m ROP + m QOP = ANGLE ADDITION POSTULATE
D acute angle m D < 90°
D right angle m D = 90°
D m D > 90° but < 180° obtuse angle
D straight angle 180° m D = 180°
1 2 CONGRUENT ANGLES 40° If 1 and 2 have the same measure, then 1 2 40° If 1 2, then 1 and 2 have the same measure
PS bisects RPT divides an angle into 2 angles Angle bisector R S RPS SPT T P
PR QS Q P R S PERPENDICULAR LINES lines lines form rt. s perpendicular lines form right angles
2 1 3 4 VERTICAL ANGLES 1 and 3 are vertical angles 2 and 4 are vertical angles
2 1 3 4 VERTICAL ANGLES vertical angles are congruent vert. s 1 3 ; 2 4
5 2 1 3 4 ADJACENT ANGLES adj s 1 and 2 2 and 3 3 and 4 5 and 4 • 5 and 1
LINEAR PAIR 1 2 1 and 2 are a linear pair the sum of the angle measures of a linear pair is 180
2 1 3 LINEAR TRIPLE 1, 2, and 3 are a linear triple the sum of the angle measures of a linear triple is 180
50 70 3 20 1 2 40 4 COMPLEMENTARY ANGLES comp s 3 and 4 are comp s 1 and 2 are comp s
70 160 3 110 20 1 2 4 SUPPLEMENTARY ANGLES supp s 3 and 4 are supp s 1 and 2 are supp s
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