GEOMETRY: Chapter 10 10.2: Chords#2. Image taken from: Geometry. McDougal Littell: Boston, 2007. P. 664. Theorem 10.4 In the same circle, or in congruent.

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Presentation transcript:

GEOMETRY: Chapter : Chords#2

Image taken from: Geometry. McDougal Littell: Boston, P Theorem 10.4 In the same circle, or in congruent circles, two minor arcs are congruent if and only if their corresponding chords are congruent.

Ex.1: Answer:108 o Image taken from: Geometry. McDougal Littell: Boston, P. 665.

Bisecting Arcs

Image taken from: Geometry. McDougal Littell: Boston, P Theorem 10.5 If a diameter of a circle is perpendicular to a chord, then the diameter bisects the chord and its arc.

Image taken from: Geometry. McDougal Littell: Boston, P Theorem 10.6 If one chord is a perpendicular bisector of another chord, then the first chord is a diameter.

Ex. 2: Three props are placed on a stage at points, P, Q, and R as shown. Describe how to find the location of a table so it is the same distance from each prop. Image taken from: Geometry. McDougal Littell: Boston, P. 665.

Ex. 2: Three props are placed on a stage at points, P, Q, and R as shown. Describe how to find the location of a table so it is the same distance from each prop. Image taken from: Geometry. McDougal Littell: Boston, P. 665.

Ex. 3: Images taken from: Geometry. McDougal Littell: Boston, P.666.

Ex. 3: Answer: 10; Theorem 10.5 Images taken from: Geometry. McDougal Littell: Boston, P.666.

Image taken from: Geometry. McDougal Littell: Boston, P Theorem 10.7 In the same circle, or in congruent circles, two chords are congruent if and only if they are equidistant from the center.

Ex. 4: Answer: 20 Images taken from: Geometry. McDougal Littell: Boston, P.666.