This pdf contains:- Naming of Angles Interior and Exterior Angles Measurement Bisectors
1. Ch 3
2. 3.1
3. Opposite Rays Opposite Rays – Rays that are part of the same line and have only their endpoint in common XY and XZ Also called straight angle
4. Another case when two rays share an endpoint… Angle – A figure formed by two noncollinear rays that have a common endpoint Vertex – common endpoint Sides – rays that make up angle Three ways to name: Three points (vertex in middle) Vertex only A number
5. Name the angle in four ways. Then identify its vertex and its sides.
6. Naming Angles If more than one angle share a vertex, name the angle with three points or a number
7. Name all angles having D as their vertex.
8. Angle separates a plane into three regions Interior of the angle Exterior of the angle Angle itself
9. Tell whether each point is in the interior, exterior, or on the angle.
12. Angle Measure Degree – Unit that angles are measured in 1/360th of a circle Symbol: ° mPQR reads ‘the measure of angle PQR’ Reason why there is no degree sign, because it is a measure and not a measurement
13. Postulate 3-1: Angles Measure
14. Protractor – Geometric tool used to measure angles and sketch angles of given measure
15. Use a protractor to measure angle KLM.
16. Use a protractor to Find the measure of measure ∠CDF. ∠PQR, ∠PQS, and ∠PQT.
17. Postulate 3-2: Protractor Postulate Meaning: from a given ray, there are two ways to draw an angle with a given angle measure
18. Use a protractor to draw an angle having a measure of 35. Use a protractor to draw an angle having a measure of 65.
19. Classifying Angles Types of Angles: Right Angle – measure is 90 Acute Angle – measure is less than 90 Obtuse Angle – measure is more than 90
20. Classify each angle as acute, obtuse, or right
21. The measure of angle A is 100. Solve for x. The measure of angle B is 138. Solve for x.
35. 3-4 ADJACENT ANGLES AND LINEAR PAIRS OF ANGLES
36. Adjacent Angles
37.
38. Linear Pair
39. Name the angle that forms a linear pair with ∠TCM. Do ∠1 and ∠TCE form a linear pair? Justify your answer.
40. The John Hancock Center in Chicago, Illinois, contains many types of angles. Describe the highlighted angles.
41. P112: 1, 3 – 21, 23 – 27 Read P115 1–3
42. 3-5 Complementary and Supplementary Angles
43. Complementary Angles
44. Complementary Angles
45. Supplementary Angles
46. Supplementary Angles
47. Name two pairs of complementary angles. Name a pair of adjacent angles.
48. Name a pair of nonadjacent supplementary angles. Find the measure of an angle that is supplementary to angle BGC.
49. Angles C and D are supplementary. If m∠C = 12x and m∠D = 4(x + 5), find x. Then find m∠C and m∠D.
50. Postulate 3-4: Supplement Postulate
51. If m∠3 = 115 and ∠3 and ∠4 form a linear pair, find m∠4.
52. P119: 1 – 37
53. 3-6 Congruent Angles
54. Congruent Angles
55. Vertical Angles
56. Theorem 3-1: Vertical Angle Theorem
57. Find x.
58.
59.
60. Suppose ∠A ≅ ∠B In the figure below, and m∠B = 47. Find ∠1 is supplementary the measure of an to ∠2, ∠3 is angle that is supplementary to ∠2, supplementary to ∠A. and m2∠ = 105. Find m∠1 and m∠3.
+1-315-636-4485
+91 98151-74050 
