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Notes #2 (1.4) 1.4 Angles Measure

Notes #2 (1.4) 1.4 Angles Measure. Standard 1.0 Students demonstrate understanding by identifying and giving examples of undefined terms… Objective: Measure and classify angles. Ray: is a part of a line, it has an endpoint (starting point) and extends indefinitely. G. F.

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Notes #2 (1.4) 1.4 Angles Measure

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  1. Notes #2 (1.4) 1.4 Angles Measure Standard 1.0 Students demonstrate understanding by identifying and giving examples of undefined terms… Objective: Measure and classify angles

  2. Ray: is a part of a line, it has an endpoint (starting point) and extends indefinitely G F Named EF, or EG E Q P P R Opposite Rays by definition are two collinear rays with a common endpoint

  3. Angle • An angle is formed by two non-collinear rays • (called the sides) with the same initial point • (called the vertex) C Vertex: point A Ray (Side) Sides: AB, and AC B A Ray (Side) Vertex

  4. Naming Angles There are three ways to name angles 1. By using the vertex 2. By using the points on the angle C 4 B 3. By using the number inside the angle A

  5. Interior and Exterior of Angles ON Points A, D, and E lie _____________ the angle An angle divides a plane into 3 distinct parts. On, In, or Outside M IN Points C and B lie _____________ of the angle A C OUTSIDE B Points F and G lie _____________ of the angle E F D G

  6. Example 1 p. 32 Angles and Their Parts W X V Name all the angles that have W as a vertex 2 1 3 Name the side of <1 5 4 Z Y Write another name for <WYZ

  7. Classwork #3 Pg. 36 (9-23)odd Homework #3 Pg. 36 (10-24)even

  8. Notes #2 (1.4) continues 1.4 Angles Measure Standard 1.0 Students demonstrate understanding by identifying and giving examples of undefined terms… Objective: Measure and classify angles Identify and use congruent angles and the bisector of an angle

  9. Protractor Since QP is aligned w/ 0 the other side of the angle can be measured at 65 degrees It has two scales running from 0 to 180 degrees in opposite directions Align the 0 on either side of the angle The center point of the protractor is on the vertex

  10. Classifying Angles 90 < m C < 180

  11. Congruent Angles Congruent Angles: are angles with the same measure or degree Angle congruence looks like this… ~ m<A = m<B <A = <B D B C A

  12. Example In the figure, . If and . Find the measurements of A C B D F

  13. Angle Bisector: a ray that divides an angle into two congruent angles Angle Addition When a line divides an angle into two smaller angles Then the sum of the smaller angles equals the larger angle m< RSP + m<PST = m<RST A R P S T

  14. Classwork #4 Pg. 35 (1-8)no 6 Homework #4 Pg. 39 (13-20)

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