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Measure and classify angles.

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Presentation on theme: "Measure and classify angles."— Presentation transcript:

1 Measure and classify angles.
Identify and use congruent angles and the bisector of an angle. Splash Screen

2 Mathematical Practices 5 Use appropriate tools strategically.
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

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

4 ray degree right angle acute angle opposite rays angle obtuse angle
angle bisector opposite rays angle side vertex interior exterior Vocabulary

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

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

7 Angles and Their Parts C. Example 1

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

9 Concept

10 A. Measure TYV and classify it as right, acute, or obtuse.
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 Answer: 180 > mWYT > 90, so WYT is an obtuse angle.
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. 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 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

15 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

16 mGBH = mHCI Definition of congruent angles
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

17 Step 2 Use the value of x to find the measure of either angle.
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

18 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

19 Homework Page 41 (12-36) / Page 42 (37-42) CCSS


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