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Activity 1: Measure Me and You will See? Use the figure at the right to answer the questions that follow. 1. AF, AB, AC, AD, and AE are radii of OA. What is the measure of each of the following angles? Use a protractor. a. ZFAB b. ZBAC C. ZDAE d. ZCAD e. LEAF 2. Do the angles have something in common? What is it? 3. What is the sum of the measures of ZFAB, ZBAC, LCAD, LEAD, and ZEAF? 4. If ZFAB intercepts FB and ZBAC intercepts BC. What is the intercepted arc of CAD? LEAD? and LEAF? Complete the table below. Central Angle Measure a. ZFAB b. ZBAC c. ZCAD d. ZDAE e. LEAF Intercepted Arc a

Activity 1: Measure Me and You will See? Use the figure at the right to answer the questions that follow. 1. AF, AB, AC, AD, and AE are radii of OA. What is the measure of each of the following angles? Use a protractor. a. ZFAB b. ZBAC C. ZDAE d. ZCAD e. LEAF 2. Do the angles have something in common? What is it? 3. What is the sum of the measures of ZFAB, ZBAC, LCAD, LEAD, and ZEAF? 4. If ZFAB intercepts FB and ZBAC intercepts BC. What is the intercepted arc of CAD? LEAD? and LEAF? Complete the table below. Central Angle Measure a. ZFAB b. ZBAC c. ZCAD d. ZDAE e. LEAF Intercepted Arc a

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Lesson 1: Chords, Arcs, and Central Angles Activity 1: Measure Me and You will See? Use the figure at the right to answer the questions that follow. 1. AF, AB, AC, AD, and AE are radii of OA. What is the measure of each of the following angles? Use a protractor. a. ZFAB b. ZBAC C. ZDAE d. LCAD e. ZEAF 2. Do the angles have something in common? What is it? 3. What is the sum of the measures of 4FAB, LBAC, LCAD, LEAD, and ZEAF? 4. If LFAB intercepts FB and LBAC intercepts BC. What is the intercepted arc of LCAD? LEAD? and LEAF? Complete the table below. Measure Central Angle Intercepted Arc a. ZFAB b. ZBAC c. ZCAD d. ZDAE e. ZEAF 5. What is the sum of the measures of the intercepted arcs of ZFAB? LBAC? LCAD? LEAD? and LEAF? Why? 6. What can you conclude about the measure of a central and its intercepted arc? 7. Find the measure of BCD using a protractor. Add the measures of BC and CD. Compare the measure of BCD and the sum of the measures of BC and CD. What can you say? 8. Arc BCF is bigger than the two semicircles. It is called a major arc. Using the Arc Addition Postulate, what is the measure of BCF? How will you find the measure of BCF using the whole circle and FB?
Transcribed Image Text:Lesson 1: Chords, Arcs, and Central Angles Activity 1: Measure Me and You will See? Use the figure at the right to answer the questions that follow. 1. AF, AB, AC, AD, and AE are radii of OA. What is the measure of each of the following angles? Use a protractor. a. ZFAB b. ZBAC C. ZDAE d. LCAD e. ZEAF 2. Do the angles have something in common? What is it? 3. What is the sum of the measures of 4FAB, LBAC, LCAD, LEAD, and ZEAF? 4. If LFAB intercepts FB and LBAC intercepts BC. What is the intercepted arc of LCAD? LEAD? and LEAF? Complete the table below. Measure Central Angle Intercepted Arc a. ZFAB b. ZBAC c. ZCAD d. ZDAE e. ZEAF 5. What is the sum of the measures of the intercepted arcs of ZFAB? LBAC? LCAD? LEAD? and LEAF? Why? 6. What can you conclude about the measure of a central and its intercepted arc? 7. Find the measure of BCD using a protractor. Add the measures of BC and CD. Compare the measure of BCD and the sum of the measures of BC and CD. What can you say? 8. Arc BCF is bigger than the two semicircles. It is called a major arc. Using the Arc Addition Postulate, what is the measure of BCF? How will you find the measure of BCF using the whole circle and FB?
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