Standards: 7.0 Students prove and use theorems involving the properties of parallel lines cut by a transversal, the properties of quadrilaterals, and the.

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Presentation transcript:

Standards: 7.0 Students prove and use theorems involving the properties of parallel lines cut by a transversal, the properties of quadrilaterals, and the properties of circles. 21.0 Students prove and solve problems regarding relationships among chords, secants, tangents, inscribed angles, and inscribed and circumscribed polygons of circles.

Theorem 10.3: In the same circle, or in congruent circles, two minor arcs are congruent if and only if their corresponding chords are congruent.

Theorem 10.4: If one chord is a perpendicular bisector of another chord, Then the first chord is a diameter. Theorem 10.5: If a diameter of a circle is perpendicular to a chord, Then the diameter bisects the chord and its arc.

Practice:

Theorem 10.6: In the same circle, or in congruent Circles, two chords are congruent if And only if they are equidistant from The center

Practice

Let’s review… From the given information in each diagram, What statement could you conclude?

Homework: Page 667: #4, 7, 9, 12 – 17 all