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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 non-parallel 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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