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Vocabulary

Ray-- A part of a line that extends indefinitely in one direction from a fixed point. O pposite rays-- Two rays that are part of the same line and have only their endpoints in common. In the figure, and  are opposite rays. Vocabulary.

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Vocabulary

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  1. Ray-- A part of a line that extends indefinitely in one direction from a fixed point. • Opposite rays-- Two rays that are part of the same line and have only their endpoints in common. In the figure, and are opposite rays. Vocabulary

  2. Angle-- A figure formed by two rays with a common endpoint. In the figure, ∠RST is formed by  and  with the common endpoint (or vertex) S. • Side--The two rays that form an angle. • Vertex--The common endpoint of the rays forming the angle. Vocabulary

  3. Answer: Angles and Their Parts A. Name all angles that have B as a vertex. Example 1

  4. Answer: Angles and Their Parts B.Name the sides of5. Example 1

  5. C. Angles and Their Parts Example 1

  6. A B C D A. B. C. D. A. Example 1a

  7. A B C D A. B. C. D.none of these B. Example 1b

  8. A B C D A. B. C. D. Which of the following is another name for 3? C. Example 1c

  9. Degreee--The most common unit of measure for angles. If a circle were divided into 360 equal-sized parts, each part would have an angle measure of 1 degree, denoted as 1°. Concept

  10. Measure and Classify Angles A. Measure TYV and classify it as right, acute, or obtuse. Answer:mTYV = 90, so TYV is a right angle. Example 2

  11. Measure and Classify Angles Answer:180 > mWYT > 90, so WYT is an obtuse angle. Example 2

  12. Measure and Classify Angles Example 2

  13. A B C D A.Measure CZD and classify it as right, acute, or obtuse. A. 30°, acute B. 30°, obtuse C. 150°, acute D. 150°, obtuse Example 2a

  14. A B C D B.Measure CZE and classify it as right, acute, or obtuse. A. 60°, acute B. 90°, acute C. 90°, right D. 90°, obtuse Example 2b

  15. A B C D C.Measure DZX and classify it as right, acute, or obtuse. A. 30°, acute B. 30°, obtuse C. 150°, acute D. 150°, obtuse Example 2c

  16. Bisect an angle • Bisect--To separate something into two congruent parts. Vocabulary

  17. Measure and Classify Angles INTERIOR DESIGN Wall stickers of standard shapes are often used to provide a stimulating environment for a young child’s room. A five-pointed star sticker is shown with vertices labeled. Find mGBH and mHCI if GBH  HCI, mGBH = 2x + 5, and mHCI =3x – 10. Example 3

  18. Measure and Classify Angles Step 1 Solve for x. GBH  HCI Given mGBH  mHCI Definition of congruent angles 2x + 5 = 3x – 10 Substitution 2x + 15 = 3x Add 10 to each side. 15 = x Subtract 2x from each side. Example 3

  19. . Measure and Classify Angles Step 2 Use the value of x to find the measure of either angle. Answer:mGBH = 35, mHCI = 35 Example 3

  20. A B C D Find mBHC and mDJE if BHC  DJE, mBHC = 4x + 5, and mDJE = 3x + 30. A.mBHC = 105, mDJE = 105 B.mBHC = 35, mDJE = 35 C.mBHC = 35, mDJE = 105 D.mBHC = 105, mDJE = 35 Example 3

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