ADVANCED GEOMETRY 3.3 CPCTC and Circles

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Presentation transcript:

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.

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.

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.

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.

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? 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

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

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

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

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

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

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

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