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ADVANCED GEOMETRY 3.3 CPCTC and Circles

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1 ADVANCED GEOMETRY 3.3 CPCTC and Circles
Learner Objective: I apply the principle of CPCTC and recognize basic 
properties of a circle. LEARNER OBJECTIVE: Students will apply the CPCTC property in proofs and will use 
 basic properties of a circle to solve problems.

2 What is a circle? A CIRCLE is:
LEARNER OBJECTIVE: Students will apply the CPCTC property in proofs and will use 
 basic properties of a circle to solve problems. What is a circle? F A CIRCLE is:  the set of all points in a plane 
 that are equidistant from a single 
 point called the center.  Note: Name a circle by its center. B E C A D A RADIUS of a circle is:  a segment joining the center to 
 any point on the circle. A CHORD of a circle is:  a segment joining any two 
 points on the circle. A DIAMETER of a circle is:  a chord that passes through the center. Note d = 2r.

3 What is π? Circumference Area
LEARNER OBJECTIVE: Students will apply the CPCTC property in proofs and will use 
 basic properties of a circle to solve problems. Circumference Area What is π? pi is the ratio of the Circumference to the Diameter of any circle.

4 Theorem: All radii of a circle are congruent.
LEARNER OBJECTIVE: Students will apply the CPCTC property in proofs and will use 
 basic properties of a circle to solve problems. Theorem: All radii of a circle are congruent.

5 LEARNER OBJECTIVE: Students will apply the CPCTC property in proofs and will use 
 basic properties of a circle to solve problems.

6 What are three ways that we can prove triangles are congruent?
LEARNER OBJECTIVE: Students will apply the CPCTC property in proofs and will use 
 basic properties of a circle to solve problems. What are three ways that we can prove triangles are congruent? C A T D O G Once we know that the 
triangles are congruent, 
what else can we 
conclude? Why? C A T D O G C A T D O G

7 CPCTC: Corresponding Parts of Congruent Triangles are Congruent
LEARNER OBJECTIVE: Students will apply the CPCTC property in proofs and will use 
 basic properties of a circle to solve problems. CPCTC: Corresponding Parts of 
Congruent Triangles are Congruent

8 LEARNER OBJECTIVE: Students will apply the CPCTC property in proofs and will use 
 basic properties of a circle to solve problems.

9 LEARNER OBJECTIVE: Students will apply the CPCTC property in proofs and will use 
 basic properties of a circle to solve problems.

10 LEARNER OBJECTIVE: Students will apply the CPCTC property in proofs and will use 
 basic properties of a circle to solve problems.

11 LEARNER OBJECTIVE: Students will apply the CPCTC property in proofs and will use 
 basic properties of a circle to solve problems.

12 LEARNER OBJECTIVE: Students will apply the CPCTC property in proofs and will use 
 basic properties of a circle to solve problems. HW: Pg. 127 # 1-6,15,20

13 LEARNER OBJECTIVE: Students will apply the CPCTC property in proofs and will use 
 basic properties of a circle to solve problems.

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