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Classifying and Measuring Angles
- 1. Classifying Angles OBJECTIVES: ICAN NAME ANGLES IN FOUR DIFFERENT WAYS. I CAN CLASSIFY ANGLES AS ACUTE, RIGHT, OBTUSE, OR STRAIGHT. I CAN IDENTIFY VERTICAL AND ADJACENT ANGLES. I CAN FIND MISSING MEASURES OF ANGLES
- 2. Angles A shape formedby two rays sharing a common endpoint; contains two rays and a vertex ray ray vertex vertex—point common to two rays of a triangle or two sides of a polygon ray—has one endpoint and goes infinitely in one direction
- 3. How are anglesused in real life?
- 4. How are anglesused in real life? Transportation Architecture & Engineering
- 5. Naming Angles There are4 ways to name an angle: Using the vertex Example: < O Using the number Example: < 1 Using the points with the vertex in the middle Example: < MOP or < POM
- 6. Name that angle… Using the vertex Using the number Using the points with the vertex in the middle
- 7. There are 4basic types of angles: Acute Right Obtuse Straight
- 8. acute Angle An acuteangle measures less than 90° and looks like this: It measures more than 0 degrees but less than 90 degrees. 0 < acute angle < 90
- 9. acute Angles measures lessthan 90°
- 10. Which angles arenot acute? 1 2 3 4 5
- 11. Right Angles A rightangle measures exactly 90° and looks like this: We draw the square around the right angle so we quickly identify it as a 90° angle. These angles are the most common in everyday life: the corner of a door, window, table, piece of paper.
- 12.
- 13. Which angle isa right angle? 1 2 3 4 5
- 14. DON’T FORGET thisabout me…….
- 15. obtuse Angle An obtuseangle measures more than 90° and looks like this: It measures more than 90 degrees but less than 180 degrees. 90 < obtuse angle < 180
- 16. obtuse Angles measures morethan 90°
- 17. Which angle isobtuse? 1 2 3 4 5
- 18. straight Angle A straightangle measures exactly 180° and looks like this: It makes a straight line.
- 19.
- 20. Which angle isa straight angle? 1 2 3 4 5 6
- 21. Just a littlejokey-joke for you:
- 22. adjacent Angles NEXT DOOR NEIGHBOR Adjacentangles are “side by side” and share a common ray and vertex.
- 23. These are examplesof adjacent angles. 55º 35º 50º130º 80º 45º 85º 20º
- 24. These angles areNOT adjacent. 45º55º 50º 100º 35º 35º
- 25. VERTICAL Angles OPPOSITES When 2 linesintersect, they make vertical angles. Vertical angles are opposite one another. 75º 75º 105º105º
- 26. Vertical angles arecongruent (equal). 30º150º 150º30º
- 27. Finding the valueof a missing measure using what we know about vertical angles… Find the value of x in the figure below. YOU TRY!_____________________________ What is the value of x in the figure below?
- 28. Practice time! LET’S PLAYA GAME CALLED…. WHAT’S YOUR ANGLE?
- 29. Exit slip Show mewhat you learned today! Complete the Exit Slip and turn it in to tray 1 on your way out when I dismiss you. DON’T FORGET TO DO YOUR HOMEWORK & COMPLETE HOMEWORK LOG