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Splash Screen. Lesson 10-1 Angle Relationships Lesson 10-2 Complementary and Supplementary Angles Lesson 10-3 Statistics: Display Data in a Circle Graph Lesson 10-4 Triangles Lesson 10-5 Problem-Solving Investigation: Use Logical Reasoning Lesson 10-6 Quadrilaterals

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  1. Splash Screen

  2. Lesson 10-1Angle Relationships Lesson 10-2 Complementary and Supplementary Angles Lesson 10-3 Statistics: Display Data in a Circle Graph Lesson 10-4 Triangles Lesson 10-5 Problem-Solving Investigation: Use Logical Reasoning Lesson 10-6 Quadrilaterals Lesson 10-7 Similar Figures Lesson 10-8 Polygons and Tessellations Lesson 10-9 Translations Lesson 10-10 Reflections Chapter Menu

  3. Five-Minute Check (over Chapter 9) Main Idea and Vocabulary California Standards Example 1: Naming Angles Key Concept: Types of Angles Example 2: Classify Angles Example 3: Classify Angles Key Concept: Vertical Angles and Adjacent Angles Example 4: Real-World Example Lesson 1 Menu

  4. Classify angles and identify vertical and adjacent angles. angle obtuse angle straight angle vertical angles adjacent angles degrees vertex congruent angles right angle acute angle Lesson 1 MI/Vocab

  5. Standard 6MG2.1 Identify angles as vertical, adjacent, complementary, or supplementary and provide descriptions of these terms. Lesson 1 CA

  6. Naming Angles Name the angle to the right.  Use the vertex as the middle letter and a point from each side. FGH or HGF Use the vertex only.G  Use a number.2 The angle can be named in four ways: FGH, HGF, G, 2. Lesson 1 Ex1

  7. Naming Angles Answer:FGH, HGF, G, 2 Lesson 1 Ex1

  8. Which of the following is not a name for the angle below? • A • B • C • D A. RST B. T C. 3 D. S Lesson 1 CYP1

  9. Lesson 1 KC1

  10. Classify Angles Classify the angle as acute, obtuse, right, or straight. Answer: The angle is exactly 180°, so it is a straight angle. Lesson 1 Ex2

  11. Classify the angle as acute, obtuse, right, or straight. • A • B • C • D A. acute B. obtuse C. right D. straight Lesson 1 CYP2

  12. Classify Angles Classify the angle as acute, obtuse, right, or straight. Answer: The angle is less than 90°, so it is an acute angle. Lesson 1 Ex3

  13. Classify the angle as acute, obtuse, right, or straight. • A • B • C • D A. acute B. obtuse C. right D. straight Lesson 1 CYP3

  14. Lesson 1 KC2

  15. Lesson 1 Ex4

  16. Answer:3 and 5 are vertical angles. 3 and 4 are adjacent angles. 4 and 5 are adjacent angles. Lesson 1 Ex4

  17. A. B. C. D. For the figure shown, which of the following is true? • A • B • C • D Lesson 1 CYP4

  18. End of Lesson 1

  19. Five-Minute Check (over Chapter 10-1) Main Idea and Vocabulary California Standards Key Concept: Complementary and Supplementary Angles Example 1: Identify Angles Example 2: Identify Angles Example 3: Find a Missing Angle Measure Lesson 2 Menu

  20. Identify complementary and supplementary angles and find missing angle measures. complementary angle supplementary angle Lesson 2 MI/Vocab

  21. Homework: P. 516 – 517: 4-11 and 22 – 30 CST: 1 - 5 Lesson 2 CA

  22. Definition: An angle has two sides that share a common end point.

  23. Definition: The point where the two sides meet is called the vertex. Vertex

  24. Definition: Angles are measured in degrees. 1 degree is one of 360 equal parts of a circle. Protractor

  25. Definition: Angles are named in 4 different ways. • FGH • HGF • G • 2

  26. Right Angle

  27. Acute Angle

  28. Obtuse Angle

  29. Straight Angle

  30. Lesson 2 KC1

  31. Identify Angles Classify the pair of angles as complementary, supplementary, or neither. 128° + 52° = 180° Answer: The angles are supplementary. Lesson 2 Ex1

  32. Classify the pair of angles as complementary, supplementary, or neither. • A • B • C • D A. complementary B. supplementary C. neither D. acute Lesson 2 CYP1

  33. Identify Angles Classify the pair of angles as complementary, supplementary, or neither. x and y form a right angle. Answer: So, the angles are complementary. Lesson 2 Ex2

  34. Classify the pair of angles as complementary, supplementary, or neither. • A • B • C • D A. complementary B. supplementary C. neither D. not enough information Lesson 2 CYP2

  35. Find a Missing Angle Measure ALGEBRA Angles PQS and RQS are supplementary. If mPQS = 56°, find mRQS. Words The sum of the measures of PQSand RQS is 180°. Variable Let x represent the measure of RQS. Equation 56 + x = 180 Lesson 2 Ex3

  36. Angles MNP and KNP are complementary. If mMNP = 23°, find mKNP. • A • B • C • D A. 22 B. 67 C. 157 D. 337 Lesson 2 CYP3

  37. End of Lesson 2

  38. Five-Minute Check (over Lesson 10-2) Main Idea and Vocabulary California Standards Example 1: Display Data in a Circle Graph Example 2: Construct a Circle Graph Example 3: Analyze a Circle Graph Example 4: Analyze a Circle Graph Lesson 3 Menu

  39. Construct and interpret circle graphs. circle graph Lesson 3 MI/Vocab

  40. Reinforcement of Standard 5SDAP1.2Organize and display single-variable data in appropriate graphs and representations(e.g., histogram, circle graphs) and explain which types of graphs are appropriate for various data sets. Lesson 3 CA

  41. Display Data in a Circle Graph SPORTS In a survey, a group of middle-school students was asked to name their favorite sport. The results are shown in the table. Make a circle graph of the data. Lesson 3 Ex1

  42. Display Data in a Circle Graph Find the degrees for each part. Round to the nearest whole degree. Lesson 3 Ex1

  43. Display Data in a Circle Graph Use a compass to draw a circle with a radius marked as shown. Then use a protractor to draw the first angle, in this case 108°. Repeat this step for each section. Lesson 3 Ex1

  44. Student’s Favorite Sports Display Data in a Circle Graph CheckTo draw an accurate circle graph, make sure the sum of the angle measures equals 360°. Label each section of the graph with the category and percent. Give the graph a title. Answer: Lesson 3 Ex1

  45. ICE CREAM In a survey, a group of students was asked to name their favorite flavor of ice cream. The results are shown in the table. Make a circle graph of the data. Lesson 3 CYP1

  46. A.B. C.D. • A • B • C • D Lesson 3 CYP1

  47. Construct a Circle Graph MOVIES Gina has the following types of movies in her DVD collection. Make a circle graph of the data. Find the total number of DVDs: 24 + 15 + 7 or 46. Lesson 3 Ex2

  48. Construct a Circle Graph Find the ratio that compares each number with the total. Write the ratio as a decimal number rounded to the nearest hundredth. Lesson 3 Ex2

  49. Construct a Circle Graph Find the number of degrees for each section of the graph. action: 0.52 ● 360 ≈ 187° comedy: 0.33 ● 360 ≈ 119° science fiction: 0.15 ● 360 ≈ 54° Draw the circle graph. Check: After drawing the first two sections, you can measure the last section of the circle graph to verify that the angles have the correct measures. Lesson 3 Ex2

  50. Construct a Circle Graph Answer: Lesson 3 Ex2