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Angle Measure and Classification Techniques for Math Learners

Learn to measure and classify angles in real-world scenarios, understanding angle parts, angles in shapes, and their classifications. Practice using a number line and solving angle measurement problems efficiently.

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Angle Measure and Classification Techniques for Math Learners

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  1. LESSON 1–4 Angle Measure

  2. Five-Minute Check (over Lesson 1–3) TEKS Then/Now New Vocabulary Example 1: Real-World Example: Angles and Their Parts Key Concept: Classify Angles Example 2: Measure and Classify Angles Example 3: Measure and Classify Angles Lesson Menu

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

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

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

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

  7. 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

  8. 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

  9. Targeted TEKS G.5(B) Construct congruent segments, congruent angles, a segment bisector, an angle bisector, perpendicular lines, the perpendicular bisector of a line segment, and a line parallel to a given line through a point not on a line using a compass and a straightedge. Mathematical Processes G.1(D), Also addresses G.1(E) TEKS

  10. You measured line segments. • Measure and classify angles. • Identify and use congruent angles and the bisector of an angle. Then/Now

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

  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. Concept

  19. 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

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

  21. Measure and Classify Angles Example 2

  22. 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

  23. 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

  24. 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

  25. 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

  26. 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

  27. . 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

  28. 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

  29. LESSON 1–4 Angle Measure

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