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Splash Screen. 1. Find the distance between P (–2, 5) and Q (4, –3). 2. Find the coordinates of R if M (–4, 5) is the midpoint of RS and S has coordinates (0, –10). 5-Minute Check 4. degree right angle acute angle obtuse angle angle bisector. ray. opposite rays angle side

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  1. Splash Screen

  2. 1. Find the distance between P(–2, 5) and Q(4, –3). 2. Find the coordinates of R if M(–4, 5) is the midpoint of RS and S has coordinates (0, –10). 5-Minute Check 4

  3. degree • right angle • acute angle • obtuse angle • angle bisector • ray • opposite rays • angle • side • vertex • interior • exterior Vocabulary

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

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

  6. C. Angles and Their Parts Example 1

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

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

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

  10. Concept

  11. 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

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

  13. Measure and Classify Angles Example 2

  14. 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

  15. 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

  16. 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

  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. 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

  21. End of the Lesson

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