Chapter 10 Flashcards

0
Q

Two secant or chords intersect inside the circle

A

M /_ 1= 1/2(mAB + mCD)

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1
Q

Arc Length

A

Central angle
____________ X diameter (2rpi)
360

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2
Q

If two secants, a secant and a tangent, or two tangents intersect outside the circle

A

m/_ A= 1/2( m DE- m BC)

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3
Q

If a secant and a tangent interest on the circle

A

m /_ 1= 1/2• m AB

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4
Q

If two chord intersect in a circle, then the products of the length of the chord segments are equal

A

AB•BC=DB•BE

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5
Q

If two secants intersect in the exterior of the circle then the product of one secant segment and its external secant segment is equal to the product of the measures of the other secant and its external secant segment

A

AC•AB=AE•AD

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6
Q

If the tangent and a secant intersect in the exterior of a circle then the square of the measure if the tangent is equal to the product of the measures if the secant and its external segment

A

JK^2= JL•JM

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7
Q

Completing a square

A

Find one half of b

Square the result in step one

Add the result of step two to x^2+bx

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8
Q

Find the equation of the circle given three points

A

Put all three coordinates into the circle formula in the x and y spots

Do a system of equations to find the h and then the k.

Find the r by doing the distance formula from the center to one of the points

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9
Q

Distances formula

A

Radical ([x2]-[x1])^2 + ([y2]-[y1])^2

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10
Q

Quadratic formula

A

-b +/- radical b^2 - 4ac
_____________________
2a

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