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1.4 Angle Measure

1.4 Angle Measure. Objective: Use protractor to measure and identify angles, use a compass to copy and bisect angles Standards: Check.4.40 Find angle measures, intercepted arc measures, and segment lengths formed by radii, chords, secants, and tangents intersecting inside and outside circles.

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1.4 Angle Measure

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  1. 1.4 Angle Measure Objective: Use protractor to measure and identify angles, use a compass to copy and bisect angles Standards: Check.4.40 Find angle measures, intercepted arc measures, and segment lengths formed by radii, chords, secants, and tangents intersecting inside and outside circles. CLE 3108.4.9 Develop the role of circles in geometry, including angle measurement, properties as a geometric figure, and aspects relating to the coordinate plane.

  2. Angles B • Ray part of a line. • Angle is formed by two noncollinear Rays with the same endpoint. • Rays = Sides • Endpoint = Vertex • Written as A, or BAC, or CAB or 4 • . A AB 4 AC C Vertex - A

  3. Congruence • Two segments having the same measure are congruent. • Indicated by red slash 4 in A Z B 4 in U

  4. Congruence • Two segmentsangles having the same measure are congruent. • Indicated by arcs • Bisector Divides Angle into 2 equal angles Interior B X B A Y C Z

  5. Exterior Congruence • Two segmentsangles having the same measure are congruent. • Indicated by arcs Interior B X A Y C Z

  6. Name that Angle X W V • All the angles with W as vertex • 1, 2, 3, XWY, ZWV • Name the sides of 1 • WZ and WX • Write another name for WYZ • 4, Y, ZYW 2 1 3 5 Y 4 Z

  7. Measure • Right Angle • Acute Angle • Obtuse Angle • mA = 90 • mB < 90 • mC > 90 A B C

  8. Solve for an Angle 6x +2 = 8x -14 • If ABC  DBF and m ABC =6x +2 and DBF = 8x -14, find the actual measurements of ABC and DBF +14 -6x 16= 2x 8= x C 6(8) +2 = A 48 +2 = 50 B F D

  9. Block Geometry Assignment • Page 41, 12 - 44 Even

  10. Honors Geometry Assignment • Page 42, 30-48, 52-56 even

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