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Post Ch. 5 Test

Post Ch. 5 Test. Pg. 323 #1 – 53 odd . 6.1 Angles and Their Measure. Angle Information. Types of Angles. Coterminal Two angles are coterminal if they have the same initial side and terminal side. Acute Angle – 0° < Ɵ < 90° Right Angle – Ɵ = 90°

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Post Ch. 5 Test

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  1. Post Ch. 5 Test • Pg. 323 #1 – 53 odd

  2. 6.1 Angles and Their Measure Angle Information Types of Angles Coterminal Two angles are coterminal if they have the same initial side and terminal side. Acute Angle – 0° < Ɵ < 90° Right Angle – Ɵ = 90° Obtuse Angle – 90° < Ɵ < 180° Supplementary Angles Two angles whose sum is 180° Complementary Angles Two angles whose sum is 90° • Initial Side • Terminal Side • Vertex • Angle in Standard Position • Degrees • Negative angles do not have complements or supplements. • Positive angles greater than 90° do not have complements.

  3. 6.1 Angles and Their Measure Find the supplement and complement of each: Find two coterminal angles to the given angle. Ɵ = 35° Ɵ = -112° Ɵ = 87° Ɵ = 228° • 56° • 128° • -34° • Ɵ° where 0 < Ɵ < 90

  4. 6.1 Angles and Their Measure Conversions If we consider this circle to be the unit circle where the vertex sits on the origin and r = 1, then we can convert from degrees to radians. Because π radians = 180°, it follows that 1 rad = and 1° = • One radian (rad.) is the measure of a central angle Ɵ whose intercepted arc has length equal to the circle’s radius.

  5. 6.1 Angles and Their Measure Convert the following into their “other” form: Arc Length Given a circle of radius r, if x is the length of the intercepted arc of a central angle of Ɵ rad, then x = rƟ Find the length x of a circle of radius 5 intercepted by a central angle measuring ?165°? • 45° • 150° • 270° • 330°

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