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Find Side Find Angle/Arc Theorems Definitions

$100

Find side measure

9

x

15

12

X=20

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Find side measure

5

x

3

X=5

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Find side measure

4

6

18

x

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X=12

Find side measure

8

x

12

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X=4

Find side measure

x9

11

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__________X=-9+√565

2

Find Angle/Arc measure “x”

78ºX º

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X=39

Find Angle/Arc measure “x”

47º

Xº

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X=47

Find Angle/Arc measure “x”

255º15xº

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X=5

Find Angle/Arc measure “x”and “y”24yº

9yº

4xº

14xº

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X=9

Y=6

Find Angle/Arc measure “x”

xº_2

(x+30)º

(x+70)º

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X=100

Find Theorem

If a line is tangent to a circle, then it is

to the radius drawn to the point of tangency.

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perpendicular

Find Theorem

If two segments from the exterior point are tangent to a circle, then they are

___________

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Congruent

Find Theorem

In the same circle, or in congruent circles, two chords are congruent if and only if

___________________

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Their corresponding arcs are congruent

Find Theorem

c

a

x

d

What theorem would you use to prove ax is congruent to dx?

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In the same circle, or in congruent circles, two chords are congruent if and only if they are equidistant from the center.

Find Theorems

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What theorem can solve this angle measure?

If a tangent and a secant, two tangents, or two secants intersect in the exterior of a circle, then the measure of the angle formed is one half the difference of the measure of the intercepted arcs

Definition

What is a chord?

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A segment whose endpoints are points on a circle.

Definition

What is the interior of a circle?

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All the points of the plane that are inside a circle.

Definition

What are inscribed

polygons?Go Back

A polygon whose vertices all lie on a circle.

Definition

What are tangent circles?

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Circles that intersect at one point.

Definitions

What is an intercepted arc?

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The arc that lies in the interior of an inscribed angle and has endpoints on the angle

Draw the locus of all the points in a plane that are on the midpoint of a radius of . C

ANSWER

C

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