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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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

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

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

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

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

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

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 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

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