# Shared Flashcard Set

## Details

White Exam Flashcards
Exam Flashcards
42
Mathematics
04/16/2012

Term
 What is the 90, 45, 45 triangle?
Definition
 The length of the hypotenuse is sqrt(2) any side.
Term
 What is the 30, 60, 90 triangle?
Definition
 Short leg - 1Long Leg - sqrt(3)Hypotenuse - 2
Term
 Give the Two Trigonometric Identities
Definition
 1.) tan = sin/cos2.) sqrd(sin) + sqrd(cos) = 1
Term
 Reflexive Property
Definition
 a=a
Term
 Symmetric Property
Definition
 a=b then b=a
Term
 Transitive Property
Definition
 Law of syllogisma=b=c a=c
Term
 Linear Pair
Definition
Term
 Supplementary Angles
Definition
 Angles that add up to 180
Term
 Complementary Angles
Definition
 Angles that add up to 90
Term
 Perpendicular Bisector
Definition
 Line which bisects a segment at 90 degrees
Term
 Angle Bisector
Definition
 Bisects angle into 2 equal parts
Term
 Dilation
Definition
 Polygon enlarged or reduced by given factor around point
Term
 Skew Lines
Definition
 Two non-parallel lines that don't intersect
Term
 Square
Definition
 Sides: EqualAngles: 90Area: BHDiagonals: Perpendicular, congruent
Term
 Rhombus
Definition
 Sides: EqualAngles: Opposite are congruentArea: B*AltitudeDiagonals: Perpendicular
Term
 Rectangle
Definition
 Sides: Opposite are parallel, cong.Angles: Opposite are congruentArea: BHDiagonals: Perpendicular
Term
 Parallelogram
Definition
 Sides: Opposite parallel, equalAngles: opposite are equalArea: B*AltitudeDiagonals: Bisect
Term
 Trapezoid
Definition
 Bases are parallelArea: 1/2(base+base)h
Term
 Kite
Definition
 Refer to paper
Term
 Triangle Congruence
Definition
 Postulate: SSS, SAS, ASATheorem: HL
Term
 Triangle Similarity
Definition
 Postulate: AATheorem: SSS, SAS
Term
 CPCTC
Definition
 Corresponding parts of congruent angles are congruent
Term
 Chord/Arc Theorem
Definition
 Intercepted arcs of congruent chords are congruent
Term
 Inscribed Angle Theorem
Definition
 Measure of inscribed angle = half of the intercepted arc
Term
 Point Slope Formula
Definition
 (y²-y¹)=m(x²-x¹)
Term
 Distance Formula
Definition
 √(x²-x¹)+(y²-y¹)
Term
 Volume of Pyramid
Definition
 V: 1/3bh
Term
 Cones
Definition
 B = 1/3bhSA = ᴨrs+ᴨr²
Term
 How do you get the area of a polygon, knowing the apothem?
Definition
 A=½ap
Term
 Law of Sines
Definition
 sin(A)/a = sin(B)/b = sin(C)/c
Term
 Law of Cosines
Definition
 a²=b²+c²-2bc*cos(a)
Term
 Converse of Chords and Arcs Theorem
Definition
 If two arcs are congruent, their chords will also be congruent
Term
 Tangent Theorem
Definition
 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.
Term
Definition
 A radius perpendicular to a chord of a circle bisects the chord
Term
 Converse of the Tangent Theorem
Definition
 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
Term
 The perpendicular bisector of a chord passes through the ______ of the circle
Definition
 center
Term
 Right Angle Corollary
Definition
 If an inscribed angle intercepts a semicircle then the angle is a right angle
Term
 Arc-Intercept Corollary
Definition
 If two inscribed angles intercept the same arc, then they have the same measure
Term
 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.
Definition
 half
Term
 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
Definition
 half, sum pg. 590
Term
 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
Definition
 half, difference pg. 590
Term
 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
Definition
 the tangent squared
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