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Published byCeline Earwood Modified about 1 year ago

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AnglesTangents Secants & Chords Grab Bag

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In the accompanying diagram of circle O, and. Find the value of x.

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x=20

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Given the circle below with diameter, find x.

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x=90°

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Given a circle with the center indicated, find x.

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x=40

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True or False: In the same circle, or congruent circles, congruent central angles have congruent arcs.

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True

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Given two secants shown in the diagram, find the number of degrees in the angle labeled x.

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x=60°

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In the diagram, the segments shown are tangent to the circle. Find the value of x.

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x=5

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In the diagram, tangent and secant are drawn to circle O from point A, AB=6 and AC=4. Find AD.

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AD=9

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How many common tangents can be drawn for two externally tangent circles?

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3 tangents

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Given tangent to the circle shown. Find the measure of the arc designated by x.

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260

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Given the circle shown with two tangents to the circle from a common external point. Find the measure of the angle marked x.

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80

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Given the circle in the diagram with two intersecting chords. Find the length x.

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x=8

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In the diagram, secant intersects circle O at D, secant intersects circle O at E, AE=4, AC=24 and AB=16. Find AD.

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AD=6

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Given a circle with two secants as shown in the diagram. Find the value of the arc designated by x.

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x=25

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In the given diagram of the circle below with radius 5. Find the length of the segment labeled x.

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x=4

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Given: Tangent, diameter, and secant in circle O. What two sets of congruent angles can be used to prove ?

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and

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Given: Circle O with diameter, and. Find.

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Given the circle in the diagram with the indicated center. Find the measure of the arc marked x.

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x=55

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Given: in circle O. Which method can be used to prove that ?

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SSS Postulate SAS Postulate ASA Postulate

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A cathedral window is built in the shape of a semi circle. If the window is to contain 3 stained glass sections of equal size, what is the area of each section to the nearest square foot?

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3 ft 2

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Two chords intersect within a circle to form an angle whose measure is 53°. If the intercepted arcs are given by 3x+3 and 10x-14, find the measure of the larger arc.

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76°

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