Answer the following questions. 1. How do you call

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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Again, you follow the procedure for the next concept.
Activity 5: Why Are We Equal?
1. Using a compass, draw a circle big enough so that you can use your
available protractor when you measure arcs and angles of what you have
constructed.
2, Locate the points P, O, I, N, T as shown in the figure at the right.
3. Connect the points to form the chords as in the figure shown.
4. Measure arc PO, LPNO, ZPIO.
5. Record the measurements.
Answer the following questions.
1. How do you call LPNO ? LPIO?
2. What is the intercepted arc of ZPNO ? ZPI0?
3. Do they intercept the same arc? Which is it?
4. What is the measure ZPNO ? LPIO? PO?
5. How do the measures of ZPNO and ZPIO related to the measure of their intercepted arc?
6. What is your conclusion about inscribed angles intercepting the same arc?
7. If there are two congruent circles, both having an inscribed angle intercepting arcs with the same measure, will the two
inscribed angles be congruent? Why?
Transcribed Image Text:Again, you follow the procedure for the next concept. Activity 5: Why Are We Equal? 1. Using a compass, draw a circle big enough so that you can use your available protractor when you measure arcs and angles of what you have constructed. 2, Locate the points P, O, I, N, T as shown in the figure at the right. 3. Connect the points to form the chords as in the figure shown. 4. Measure arc PO, LPNO, ZPIO. 5. Record the measurements. Answer the following questions. 1. How do you call LPNO ? LPIO? 2. What is the intercepted arc of ZPNO ? ZPI0? 3. Do they intercept the same arc? Which is it? 4. What is the measure ZPNO ? LPIO? PO? 5. How do the measures of ZPNO and ZPIO related to the measure of their intercepted arc? 6. What is your conclusion about inscribed angles intercepting the same arc? 7. If there are two congruent circles, both having an inscribed angle intercepting arcs with the same measure, will the two inscribed angles be congruent? Why?
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