1.4 Angle Measure Then: You measured line segments.

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1-4 Angle Measure.

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1.4 Angle Measure Then: You measured line segments. Now: 1. Measure and classify angles. 2. Identify and use congruent angles and the bisector of an angle. When is a miter joint used? http://www.instructables.com/files/deriv/FD1/88V9/FLROK1G2/FD188V9FLROK1G2.LARGE.jpg

Vocabulary 11. Ray- part of a line with one endpoint that continues indefinitely in one direction. Notation- start with endpoint then another point the ray goes through. http://ca.icoachmath.com/image_md/Ray2.gif

Vocabulary 12. Opposite rays- share a common endpoint and are collinear. 𝑩𝑨 and 𝑩𝑪 are opposite rays.

Vocabulary 13. Angle- intersection of two noncollienar rays , called the sides, at a common endpoint, called the vertex. Naming angles- R, MRS, SRM or 2 2 http://www.proprofs.com/flashcards/upload/a7711530.jpg http://upload.wikimedia.org/wikipedia/commons/thumb/2/21/Two_rays_and_one_vertex.png/220px-Two_rays_and_one_vertex.png

Example 1: Angles and Their Parts Use the figure to answer the questions. a. Name all the angles that have B as a vertex. b. Name the sides of 5. c. Write another name for6.

Example 1 d. What is another name for FED? e. Name a point in the exterior of ABD.

Vocabulary Right angle- an angle with a degree measure of 90. Acute angle- an angle with a degree measure less than 90. Obtuse angle- an angle with a degree measure greater than 90and less than 180. http://hauganroom311.weebly.com/uploads/1/5/2/5/15257710/4185142_orig.gif

Example 2: Measure and Classify Angles Classify each angle as right, acute, or obtuse. Then use a protractor to measure the angle to the nearest degree. a. ABD b. DBC c. EBC

Vocabulary 17. Congruent angles: Angles that have the same measure are congruent. A  B 18. Angle bisectors: A ray that divides an angle into 2 congruent angles. LKM  JKM http://hotmath.com/hotmath_help/topics/angle-bisector/angle-bisector-image011.gif http://math.info/image/369/congruent_angles.jpg

Example 3: Use Algebra to Find Measures a. In the figure 𝑸𝑷 and 𝑸𝑹 are opposite rays and 𝑸𝑺 bisects PQT. If m PQS = 3x + 13 and m SQT = 6x – 2, find m PQT. Work:

Example 3: Use Algebra to Find Measures b. In the figure 𝑩𝑨 and 𝑩𝑪 are opposite rays. 𝑩𝑭 bisects CBE. If m EBF = 6x + 4 and m CBF = 7x – 2, find m EBF. Work:

p. 41-44 # 12-34 evens, 38-44 evens, 45 &46 graph, 52, 58, 64, 1.4 Assignment p. 41-44 # 12-34 evens, 38-44 evens, 45 &46 graph, 52, 58, 64,