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Lesson 1–3 & 1–4 Objectives

Lesson 1–3 & 1–4 Objectives. Be able to name & classify angles Be able to identify types of angle pairs Be able to find measures of angle pairs. State HSCE : G1.1.1. Angle  formed by two rays Vertex  common endpoint. Angles measured in degrees  360° in full circle. Angle Name

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Lesson 1–3 & 1–4 Objectives

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  1. Lesson 1–3 & 1–4 Objectives • Be able to name & classify angles • Be able to identify types of angle pairs • Be able to find measures of angle pairs State HSCE: G1.1.1

  2. Angle formed by two rays Vertex  common endpoint Angles measured in degrees  360° in full circle Angle Name R, SRT, TRS, or 1 Copy Post. 1-3-1 onto your Post/Thm sheet

  3. Congruent anles  equal measures ABC  DEF vs. mABC = mDEF Copy Post. 1-3-2 onto your Post/Thm sheet

  4. Angle bisector splits equally JK bisects LJM; thus LJK KJM.

  5. EXAMPLE 1: Name all the angles in the picture.

  6. EXAMPLE 2: Find the measure of and classify each angle: ZXY & VXW

  7. EXAMPLE 3: mXWZ = 121° and mXWY = 59°; find mYWZ

  8. EXAMPLE 4: KM bisects JKL, mJKM = (4x + 6)°, and mMKL = (7x – 12)°. Find mJKM.

  9. Vertical angles nonadjacent, but have same vertex 1 and 3 2 and 4

  10. EXAMPLE 1: AEB and BED – are they just adjacent, are they adjacent and form a linear pair, or are they not adjacent?

  11. EXAMPLE 2: • Find the: • Complement of G • Supplement of G

  12. EXAMPLE 3: An angle is 10° more than three times its complement. Find the measure of the complement Complement: x “Original” angle: 3x + 10

  13. EXAMPLE 4: Light passing through a fiber-optic cable reflects off the walls in such a way that 1  2, 1 is complementary to 3, and 2 is complementary to 4. Find the other angle measures if m1 = 38°

  14. EXAMPLE 5: Name two pairs of vertical angles

  15. Lesson 1–3 & 1–4Assignment

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