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What is the 90, 45, 45 triangle? 

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The length of the hypotenuse is sqrt(2) any side. 


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What is the 30, 60, 90 triangle? 

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Short leg  1 Long Leg  sqrt(3) Hypotenuse  2 


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Give the Two Trigonometric Identities 

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1.) tan = sin/cos 2.) sqrd(sin) + sqrd(cos) = 1 


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Law of syllogism a=b=c a=c 


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Adjacent Supplementary Angles 


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Angles that add up to 180 


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Line which bisects a segment at 90 degrees 


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Bisects angle into 2 equal parts 


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Polygon enlarged or reduced by given factor around point 


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Two nonparallel lines that don't intersect 


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Sides: Equal Angles: 90 Area: BH Diagonals: Perpendicular, congruent 


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Sides: Equal Angles: Opposite are congruent Area: B*Altitude Diagonals: Perpendicular 


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Sides: Opposite are parallel, cong. Angles: Opposite are congruent Area: BH Diagonals: Perpendicular 


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Sides: Opposite parallel, equal Angles: opposite are equal Area: B*Altitude Diagonals: Bisect 


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Bases are parallel Area: 1/2(base+base)h 


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Postulate: SSS, SAS, ASA Theorem: HL 


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Postulate: AA Theorem: SSS, SAS 


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Corresponding parts of congruent angles are congruent 


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Intercepted arcs of congruent chords are congruent 


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Measure of inscribed angle = half of the intercepted arc 


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How do you get the area of a polygon, knowing the apothem? 

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sin(A)/a = sin(B)/b = sin(C)/c 


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Converse of Chords and Arcs Theorem 

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If two arcs are congruent, their chords will also be congruent 


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If a line is tangent to a circle, then the line is perpendicular to a radius of the circle drawn to the point of tangency. 


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A radius perpendicular to a chord of a circle bisects the chord 


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Converse of the Tangent Theorem 

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If a line is perpendicular to a radius of a circle at its endpoint on the circle then the line is tangent to the circle 


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The perpendicular bisector of a chord passes through the ______ of the circle 

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If an inscribed angle intercepts a semicircle then the angle is a right angle 


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If two inscribed angles intercept the same arc, then they have the same measure 


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If a tangent and a secant (or chord) intersect on a circle at the point of tangency, then the measure of the angle formed is _____ the measure of its intercepted arc. 

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The measure of an angle formed by two secants or chords that intersect in the interior of a circle is ____ the ____ of the measures of the arcs intercepted by the angle and its vertical angle 

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The measure of an angle formed by two secants that intersect in the exterior of a circle is ___ the ___ of the measures of the intercepted arcs 

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If a secant and a tangent intersect outside a circle then the product of the lengths of the secant segment and its external segment equals 

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