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ANGLES, ANGLES, ANGLES

ANGLES, ANGLES, ANGLES. Naming Angles Measuring Angles Classifying Angles The Angle Addition Postulate. What is an angle?. An angle is formed by two rays with a common endpoint called a vertex. CD and CE are the rays that form the sides of the angle. C is the common

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ANGLES, ANGLES, ANGLES

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  1. ANGLES, ANGLES, ANGLES Naming Angles Measuring Angles Classifying Angles The Angle Addition Postulate

  2. What is an angle? An angle is formed by two rays with a common endpoint called a vertex. CD and CE are the rays that form the sides of the angle. C is the common endpoint, or vertex. D C - vertex E

  3. NAMING ANGLES There are four different ways to name an angle: #1: -by its vertex with  in front of the capital letter D This is  C. C E

  4. NAMING ANGLES There are four different ways to name an angle: #2: -by a number placed inside the angle with in front of the number D This is  3. 3 C E

  5. NAMING ANGLES There are four different ways to name an angle: #3: -by three letters - a point on one of the rays followed by the vertex of the angle followed by a point on the other ray with  in front the three capital letters. This is  DCE or ECD. D C E

  6. NAMING ANGLES There are four different ways to name an angle: #4: -by a lower case letter placed inside the angle with  in front of the lower case letter. This is  a. D a C E

  7. NAMING ANGLES Click on the correct name for the angle shown. D E TEJ d T JTE J etj

  8. SUPER

  9. Try Again! Think about capital letters and lower case letters. Think about what the middle letter should be.

  10. WHITE NOTE CARD: ANGLES Formed by two rays with a common endpoint called a vertex. BC and BG are the rays, B is the vertex Named by: - the vertex (a capital letter)  B - a number placed inside the angle 8 - three capital letters - a point on one ray followed by the vertex followed by a point CBG on the other ray; vertex always in the middle GBC - a lower case letter placed in side the angle All of these start with . C 8 B G

  11. ANGLE MEASURE Angles are measured in degrees using a protractor. The protractor is used to measure the opening between the two rays that make up the angle.

  12. ANGLE CLASSIFICATION Angles can be classified in four different ways: Acute angles - angles that measure less than 90º Right angles - angles that measure 90º Obtuse angles - angles that have a measure greater than 90º but less than 180º Straight angles - angles that measure 180º

  13. True or False - Click true or false next to each statement. TRUE / FALSE - All right angles are congruent. TRUE / FALSE - All obtuse angles are congruent. TRUE / FALSE - An obtuse angle and an acute angle could be congruent. TRUE / FALSE - Three acute angles could be congruent. Continue – all finished with the True / False questions.

  14. CORRECT!!!

  15. NO - READ THE STATEMENT AGAIN.

  16. WHITE NOTE CARD: ANGLE CLASSIFICATION Angles can be classified in four different ways: Acute angles - angles that measure less than 90º Right angles - angles that measure 90º Obtuse angles - angles that have a measure greater than 90º but less than 180º Straight angles - angles that measure 180º

  17. ANGLE ADDITION POSTULATE If R is in the interior of PQS, then m PQR + m RQS = m PQS. P R S Q

  18. ANGLE ADDITION POSTULATE If R is in the interior of PQS, then mPQR + m RQS = m PQS. So, if R is in the interior of the big angle, then the sum of the measures of the two smaller angles will equal that big angle. P R S Q

  19. ANGLE ADDITION POSTULATE If R is NOT in the interior of PQS, then mPQR + m RQSm PQS. R P S Q

  20. ANGLE ADDITION POSTULATE If mPQR + m RQS = m PQS, thenR is in the interior of PQS. What does this mean? Think about the second part of the Segment Addition Postulate.

  21. COLORED NOTE CARD ANGLE ADDITION POSTULATE If R is in the interior of PQS, then m PQR + m RQS = m PQS. If m PQR + m RQS = m PQS, then R is in the interior of PQS. R P S Q

  22. HOMEWORK / CLASSWORK

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