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Splash Screen. Use the number line to find the measure of AC. A. 2 B. 4 C. 6 D. 8. 5-Minute Check 1. Use the number line to find the measure of DE. A. 3 B. 5 C. 7 D. 9. 5-Minute Check 2. Use the number line to find the midpoint of EG. A. D B. E C. F D. H.

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  1. Splash Screen

  2. Use the number line to find the measure of AC. A. 2 B. 4 C. 6 D. 8 5-Minute Check 1

  3. Use the number line to find the measure of DE. A. 3 B. 5 C. 7 D. 9 5-Minute Check 2

  4. Use the number line to find the midpoint of EG. A.D B.E C.F D.H 5-Minute Check 3

  5. Find the distance between P(–2, 5) and Q(4, –3). A. 12 B. 10 C. 5 D. 1 5-Minute Check 4

  6. Find the coordinates of R if M(–4, 5) is the midpoint of RS and S has coordinates (0, –10). A. (–8, 20) B. (–4, 15) C. (–2, –5) D. (2, 20) 5-Minute Check 5

  7. A boat located at (4, 1) can dock at two locations. Location A is at (–2, 9) and Location B is at (9, –11). Which location is closest? How many units away is the closest dock? A. Location A, 10 units B. Location A, 12.5 units C. Location B, 10 units D. Location B, 12.5 units 5-Minute Check 6

  8. Content Standards G.CO.1 Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point, line, distance along a line, and distance around a circular arc. G.CO.12 Make formal geometric constructions with a variety of tools and methods (compass and straightedge, string, reflective devices, paper folding, dynamic geometric software, etc.). Mathematical Practices 5 Use appropriate tools strategically. 6 Attend to precision. CCSS

  9. You will be able to: • Measure and classify angles. • Identify and use congruent angles and the bisector of an angle. Then/Now

  10. Ray- part of a line that has one endpoint and extends indefinitely in one direction name the ray… • Opposite rays- 2 rays that share a common endpoint and are collinear name the ray…

  11. Angle- formed by 2 noncollinear rays that have a common endpoint • Sides- the rays of the angle • Vertex- common endpoint name it… • Interior • Exterior

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

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

  14. C. Angles and Their Parts Example 1

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

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

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

  18. Degree- the units angles are measured in. A degree results from dividing the distance around a circle into 360 parts.

  19. Concept

  20. 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

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

  22. Measure and Classify Angles Example 2

  23. 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

  24. 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

  25. 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

  26. Congruent angles- angles that have the same measure

  27. Angle bisector- a rat that divides an angle into 2 congruent angles

  28. 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

  29. 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

  30. . 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

  31. 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

  32. End of the Lesson

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