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Warm-Up

Warm-Up. Find the next two numbers in the sequence: 3, 7, 15, 31, __, __ Draw four points M, A, T, H such that and are opposite rays and and are the same ray. Find the distance between the points (-3, 4) and (3, 6). Simplify your answer.

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Warm-Up

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  1. Warm-Up • Find the next two numbers in the sequence: 3, 7, 15, 31, __, __ • Draw four points M, A, T, H such that and are opposite rays and and are the same ray. • Find the distance between the points (-3, 4) and (3, 6). Simplify your answer. • Use the Segment Addition Postulate to solve for x if = 4x – 3, = 3x – 10 and = 6x + 8. H S L

  2. GEOMETRY Angles and Their Measures

  3. Learning Outcomes • I will be able to classify angles into groups according to the measure of their angles. • I will be able to use the angle addition postulate to determine the measure of angles that are separated into two or more angles.

  4. Vocabulary • Angle: An angle consists of two different rays that have the same initial point. • Sides of an angle: The rays are called the sides of the angle. • Vertex of an angle: The initial point is the vertex of the angle. • Measure of an angle: The absolute value of the difference between the two sides.

  5. More Vocabulary • Interior of an angle: The interior of an angle is any point between the points that lie on each side of the angle. • Exterior of an angle: The exterior of an angle is all the points not on the angle or in its interior. • Adjacent angles: Two angles that have a common vertex and side but no common interior points.

  6. Classifying Angles • Acute angle • Right angle • Obtuse angle • Straight angle

  7. Classify The Angle A.) Acute Angle B.) Right Angle C.) Obtuse Angle D.) Straight Angle

  8. Classify The Angle A.) Acute Angle B.) Right Angle C.) Obtuse Angle D.) Straight Angle

  9. Classify The Angle A.) Acute Angle B.) Right Angle C.) Obtuse Angle D.) Straight Angle

  10. Classifying Angles • What geometric figure does a straight angle make?

  11. How Many Angles Are There? • NAG or GAN • GAL or LAG • LAE or EAL • NAL or LAN • GAE or EAG • NAE or EAN

  12. Angle Addition Postulate Basically, we can add two or more angles together to get a bigger angle, or we can break two angles apart to get a smaller angle.

  13. Angle Addition Postulate • Find the measure of the unknown angle.

  14. Angle Addition Postulate • Find the measure of the unknown angle.

  15. Angle Addition Postulate • Find the measure of the unknown angle.

  16. Angle Addition Postulate • Find the measure of the unknown angle.

  17. Angle Addition Postulate • Find the measure of the unknown angle.

  18. Angle Addition Postulate • Find the measure of the unknown angle.

  19. Angle Addition Postulate

  20. Angle Addition Postulate

  21. Angle Addition Postulate

  22. Exit Ticket Homework Pg. 29: 17-22, 26-28, 35-37, 40-49, 70-76

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