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Daily Homework Quiz For use after Lesson 7.3 Use a percent proportion to answer the question. 1 . 28  is what percent of  80 ? 2 . 15  is  5%  of what number?
Daily Homework Quiz For use after Lesson 7.3 Use a percent proportion to answer the question. 1 . 28  is what percent of  80 ? 2 . 15  is  5%  of what number? ANSWER 35% ANSWER 300
Chapter 8.1 Lines and Angles
Essential Questions ,[object Object],[object Object],[object Object],[object Object]
Chapter 8 Section 1 ,[object Object]
Prerequisite Skills VOCABULARY CHECK Point: a figure without dimensions. Line: a figure that extends without end in  two   opposite directions. X Y XY CD A Ray: a figure that has one endpoint and  extends without end in  one  direction. C D
[object Object],[object Object],Vertex Vertex: end point of the rays that form an angle. C A B
[object Object]
Prerequisite Skills VOCABULARY CHECK Identify the object with the review word from the list: point, line, ray, plane, angle, vertex, degree. 2. 1. 3. ANSWER line ANSWER point ANSWER ray 4.  A unit for measuring angles is a(n)   ? . ANSWER degree
Classifying Angles ,[object Object],[object Object],C A B This is read “Angle ABC or Angle CBA, or just Angle B
Classifying Angles ,[object Object]
Classifying Angles ,[object Object]
Classifying Angles ,[object Object],A  B  C
[object Object],70  ° 20 ° 70 + 20 = 90 degrees.
[object Object],60 ° 30 °
[object Object],[object Object]
GUIDED PRACTICE for Example 1 SOLUTION Tell whether  1 and  2 are  complementary ,  supplementary , or  neither . 1. m   1 = 79 m   2 = 101 m   1+  m   2   = 79 °   + 101 ° ANSWER Hence, the angles are supplementary. = 180
GUIDED PRACTICE for Example 1 SOLUTION Tell whether  1 and  2 are  complementary ,  supplementary , or  neither . 2. m   1 = 64 m   1 = 36 m   1+  m   2   = 100 ° = 64 + 36 ANSWER Hence,  1  and  2  are  neither complementary nor supplementary.
GUIDED PRACTICE for Example 1 SOLUTION Tell whether  1 and  2 are  complementary ,  supplementary , or  neither . 3. m   1 = 52 m   1 = 38 m   1+  m   2   = 52 + 38 = 90 ANSWER Hence,  1  and  2  are complementary.
Vertical Angles ,[object Object],1 3 4 2 Angles 1 & 2 are vertical angles and 3&4 are vertical angles.
GUIDED PRACTICE for Example 2 Find the measures of the numbered angles. SOLUTION STEP 1 137° 43° 43° It is given that  m   5 = 137  . 5  and  7  are vertical angles.Their measures are equal, so  m  7 = 137 °  .
GUIDED PRACTICE for Example 2 Find the measures of the numbered angles. SOLUTION STEP 1 54° 126° 126° It is given that  m   8 = 54  . 8  and  10  are vertical angles. Their measures are equal, so  m  10 = 54 °  .
Homework ,[object Object]

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8.1 angles 1

  • 1. Daily Homework Quiz For use after Lesson 7.3 Use a percent proportion to answer the question. 1 . 28 is what percent of 80 ? 2 . 15 is 5% of what number?
  • 2. Daily Homework Quiz For use after Lesson 7.3 Use a percent proportion to answer the question. 1 . 28 is what percent of 80 ? 2 . 15 is 5% of what number? ANSWER 35% ANSWER 300
  • 3. Chapter 8.1 Lines and Angles
  • 4.
  • 5.
  • 6. Prerequisite Skills VOCABULARY CHECK Point: a figure without dimensions. Line: a figure that extends without end in two opposite directions. X Y XY CD A Ray: a figure that has one endpoint and extends without end in one direction. C D
  • 7.
  • 8.
  • 9. Prerequisite Skills VOCABULARY CHECK Identify the object with the review word from the list: point, line, ray, plane, angle, vertex, degree. 2. 1. 3. ANSWER line ANSWER point ANSWER ray 4. A unit for measuring angles is a(n) ? . ANSWER degree
  • 10.
  • 11.
  • 12.
  • 13.
  • 14.
  • 15.
  • 16.
  • 17. GUIDED PRACTICE for Example 1 SOLUTION Tell whether 1 and 2 are complementary , supplementary , or neither . 1. m 1 = 79 m 2 = 101 m 1+ m 2 = 79 ° + 101 ° ANSWER Hence, the angles are supplementary. = 180
  • 18. GUIDED PRACTICE for Example 1 SOLUTION Tell whether 1 and 2 are complementary , supplementary , or neither . 2. m 1 = 64 m 1 = 36 m 1+ m 2 = 100 ° = 64 + 36 ANSWER Hence, 1 and 2 are neither complementary nor supplementary.
  • 19. GUIDED PRACTICE for Example 1 SOLUTION Tell whether 1 and 2 are complementary , supplementary , or neither . 3. m 1 = 52 m 1 = 38 m 1+ m 2 = 52 + 38 = 90 ANSWER Hence, 1 and 2 are complementary.
  • 20.
  • 21. GUIDED PRACTICE for Example 2 Find the measures of the numbered angles. SOLUTION STEP 1 137° 43° 43° It is given that m 5 = 137 . 5 and 7 are vertical angles.Their measures are equal, so m 7 = 137 ° .
  • 22. GUIDED PRACTICE for Example 2 Find the measures of the numbered angles. SOLUTION STEP 1 54° 126° 126° It is given that m 8 = 54 . 8 and 10 are vertical angles. Their measures are equal, so m 10 = 54 ° .
  • 23.