By: Shirley Tung and Abbey Burke.  In this section: Understand and apply the principle of CPCTC Recognize basic information about circles.

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Presentation transcript:

By: Shirley Tung and Abbey Burke

 In this section: Understand and apply the principle of CPCTC Recognize basic information about circles.

 After getting two triangles congruent to each other, getting corresponding parts congruent is simple. All you need is CPCTC. A BC D E F

.O All circles are named by their centers. Every point on a circle is the same distance from its center. Points A and B are on circle O. Theorem 19- All radii of a circle are congruent ^ this circle would be named: Circle O A B

 The circumference of a circle is the distance around the outside of it. The formula for finding the circumference is… A C Knowing that the length of is 8, we can use that information to find the circumference of circle A. 8

 The area of a circle is the amount of space inside of it. The formula to find the area of a circle is… *NOTE if the exact answer is needed, press the button on the calculator. If an estimated answer is needed, type in B C Knowing that the length of is 6, we can find the area using the area formula. 6

 Sample problem AB CD E Given: Circle E Conclusion:

 Sample problem answer: A B C D E Given: Circle E Conclusion: Statements Reasons 1.Circle E 1.Given All radii of a circle are same as vertical angles are SAS (2,3,4) CPCTC

 Problem #1 F R O G Given: Circle O Prove:

 Problem #1 answer: F R O G Given: Circle O Conclusion: ReasonsStatements 1.Circle O 1. Given Given 3. are rt. angles 3. lines form rt. Angles rt. Angles are congruent all radii of a circle are congruent Reflexive SAS (4,5,6) CPCTC

 Problem #2: P O R K Y Given: Conclusion:

 Problem #2 answer: P O R K Y Given: Conclusion: StatementsReasons Given Given reflexive SAS (1,2,3) CPCTC

 Sample Problem.R 11 Find the area and circumference of circle R to the nearest tenth.

 Sample Problem answer:.R 11

 Practice Problem.M 9 Find the exact area and circumference of circle M.

 Practice Problem answer:.M 9

 Rhoad, Richard. Geometry For Your Enjoyment. New ed. Illinois: McDougal Littell, Print.