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**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**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**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**Standard 6MG2.1 Identify angles as vertical, adjacent,**complementary, or supplementary and provide descriptions of these terms. Lesson 1 CA**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**Naming Angles**Answer:FGH, HGF, G, 2 Lesson 1 Ex1**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**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**Classify the angle as acute, obtuse, right, or straight.**• A • B • C • D A. acute B. obtuse C. right D. straight Lesson 1 CYP2**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**Classify the angle as acute, obtuse, right, or straight.**• A • B • C • D A. acute B. obtuse C. right D. straight Lesson 1 CYP3**Answer:3 and 5 are vertical angles. 3 and 4 are**adjacent angles. 4 and 5 are adjacent angles. Lesson 1 Ex4**A.**B. C. D. For the figure shown, which of the following is true? • A • B • C • D Lesson 1 CYP4**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**Identify complementary and supplementary angles and find**missing angle measures. complementary angle supplementary angle Lesson 2 MI/Vocab**Homework:**P. 516 – 517: 4-11 and 22 – 30 CST: 1 - 5 Lesson 2 CA**Definition: An angle has two sides that share a common end**point.**Definition: The point where the two sides meet is called the**vertex. Vertex**Definition: Angles are measured in degrees. 1 degree is one**of 360 equal parts of a circle. Protractor**Definition: Angles are named in 4 different ways.**• FGH • HGF • G • 2**Identify Angles**Classify the pair of angles as complementary, supplementary, or neither. 128° + 52° = 180° Answer: The angles are supplementary. Lesson 2 Ex1**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**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**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**Find a Missing Angle Measure**ALGEBRA Angles PQS and RQS are supplementary. If mPQS = 56°, find mRQS. 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**Angles MNP and KNP are complementary. If mMNP = 23°,**find mKNP. • A • B • C • D A. 22 B. 67 C. 157 D. 337 Lesson 2 CYP3**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**Construct and interpret circle graphs.**circle graph Lesson 3 MI/Vocab**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**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**Display Data in a Circle Graph**Find the degrees for each part. Round to the nearest whole degree. Lesson 3 Ex1**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**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**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**A.B.**C.D. • A • B • C • D Lesson 3 CYP1**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**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**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**Construct a Circle Graph**Answer: Lesson 3 Ex2