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Bell Ringer – Put in your notebook. Constructions - Turn to p. 30 ‘Bisect a Segment” Do Steps 1-3

Bell Ringer – Put in your notebook. Constructions - Turn to p. 30 ‘Bisect a Segment” Do Steps 1-3 Use half of a sheet of paper in your notes Turn in all packets, compass constructions (bisect a segment) progress reports and missing assignment. You measured line segments. .

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Bell Ringer – Put in your notebook. Constructions - Turn to p. 30 ‘Bisect a Segment” Do Steps 1-3

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  1. Bell Ringer – Put in your notebook. Constructions - Turn to p. 30 ‘Bisect a Segment” Do Steps 1-3 Use half of a sheet of paper in your notes Turn in all packets, compass constructions (bisect a segment) progress reports and missing assignment

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

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

  4. A ray is a part of a line it has one endpoint. The symbol for ray is an arrow in one direction → above the name of the ray. • An angle is formed by 2 noncollinear rays that have a common endpoint. The rays are the sides of the angles.This common endpoint is called the vertex. • Naming an angle • When naming an angle use 3 letters, the vertex must be the second letter. • You can also name an angle using a number or a single letter.

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

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

  7. C. Angles and Their Parts Example 1

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

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

  10. What are other ways to name for 3? C.  AXB,  BXA, NXA, AXN Could we also name 3 as X? Example 1c

  11. Concept

  12. 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

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

  14. Measure and Classify Angles Example 2

  15. 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

  16. 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

  17. 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

  18. . 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

  19. 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

  20. Exit Ticket p. 41 5-8 • Class Assignment and HW • p. 41-44 1-6, 9-10, 32, 47, 51, 54, 56, 65, 74-75 • Copy an angle using a compass and protractor

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