Set: GEOMETRY

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All 42 Terms

Term Definition
AA Similarity Postulate if two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar
SAS Similarity Theorem if an angle of one triangle is congruent to an angle of another triangle and the sides including those angles are in proportion, then the triangles are similar
SSS Similarity Theorem if the sides of two triangles are in proportion, then the triangles are similar
Triangle Proportionality Theorem if a line parallel to one side of a triangle intersects the other two sides, then it divides those sides proportionally
Triangle Angle Bisector Theorem if a ray bisects an angle of a triangle, then it divides the opposite side into segments proportional to the other two sides
Theorem 8-1 if the altitude is drawn to the hypotenuse of a right triangle, then the two triangles formed are similar to the original triangle and to each other
Pythagorean Theorem in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the legs
Theorem 8-3 if the square of one side of a triangle is equal to the sum of the squares of the other two sides, then triangle is a right triangle
45-45-90 Theorem in a 45-45-90 triangle, the hypotenuse is radical 2 times as long as a leg
30-60-90 Theorem in a 30-60-90 triangle, the hypotenuse is twice ass long as the shorter leg, and the longer leg is radical 3 times as long as the shorter leg
Sine Opposite/Hypotenuse
Cosine Adjacent/Hypotenuse
Tangent Opposite/Adjacent
Theorem 9-1 if a line is tangent to a circle, then the line is perpendicular to the radius drawn to the point of tangency
Theorem 9-2 if a line in the plane of a circle is perpendicular to a radius at its outer endpoint, then the line is tangent to the circle
Arc Addition Postulate the measure of the arc formed by two adjacent arcs is the sum of the measures of these two arcs
Theorem 9-3 In the same circle or in congruent circles, two minor arcs are congruent if and only if the central angles are congruent
Theorem 9-4 In the same circle or in congruent circles 1) congruent arcs have congruent chords 2) congruent chords have congruent arcs
Theorem 9-5 a diameter that is perpendicular to a chord bisects the chord and its arc
Theorem 9-6 in the same circle or in congruent circles 1) chords equally distant from the center are congruent 2) congruent chords are equally distant from the center
Theorem 9-7 the measure of an inscribed angle is equal to half the measure of its intercepted arc
Theorem 9-8 the measure of an angle formed by a chord and a tangent is equal to half the measure of the intercepted arc
Theorem 9-9 the measure of an angle formed by two chords that intersect inside a circle is equal to half the sum of the measures of the intercepted arcs
Theorem 9-10 the measure of an < formed by 2 secants, 2 tangents, or a secant & a tangent drawn from a point outside the circle is equal to half the difference of the measures of the intercepted arcs
Theorem 9-11 when 2 chords intersect inside a circle, the product of the segments of one chord = the products of the segments of the other chord
Theorem 9-12 when 2 secant segments are drawn to a circle from an external point, the product of one secant segment and its external segment equals the product of the other secant segment and its external segment
Theorem 9-13 when a secant segment and a tangent segment are drawn to a circcle from an external point, the product of the secant segment and its external segment is equal to the square of the tangent segment
Area of a Square A= S²
Area Congruence Postulate if 2 figures are congruent, they have the same area
Area Addition Postulate the area of a region is the sum of the areas of its non-overlapping parts
Area of a Rectangle A= bh
Area of a Parallelogram A= bh
Area of a Triangle A= 1/2 bh
Area of a Rhombus A= 1/2 (d1 x d2)
Area of an Equilateral Triangle A= (s²(radical 3)) / 4
Area of a Right Triangle A= 1/2 (product of legs)
Area of a Trapezoid A= 1/2h (b1 + b2)
Area of a Regular Polygon A= 1/2ap (apothem, perimeter)
Area of a Regular Hexagon A= 6 * (s²(radical 3)) /4
Circumfrence of a Circle C=2[pi]r ; C=[pi]d
Area of a Circle A= [pi]r²
Theorem 11-7 if the scale factor of two similar figures is a:b then- 1) the ratio of the perimeters is a:b 2) the ratio of the areas is a²:b²

Set Information

Terms 42
Creator xoKBbaby
Created May 31, 2007
Group LaSalleGold
Tags geometry, theorems, formulas
Access Anyone
Edit Group: LaSalleGold

Description

ALL THE THEOREMS & FORMULAS & POSTULATES FROM CHAPTER 7-11 and MORE TO COME!!!!!

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LaSalleGold : holy shit katherine ur amazing
emmer87 : I LOVE YOU
emmer87 : WITH A PASSION
emmer87 : I MIGHT CRY
xoKBbaby : i feel so special =]
xoKBbaby : love to youuu guyss
xoKBbaby : **you too
xosimonnexo : omg i freakingg lovee youu
ccsport23 : u r my savior :)
chase-y : are u in ms fackelmans geometry class?
giagam1216 : you are simply amazing Katherine!
xoKBbaby : thanksss :]
xoKBbaby : nopeee...mr. quinn
barusso : mr quinnnn! im gonna miss himmmm
marahs : THANK YOU TIMES LIKE INFINITY :)
Breannax3 : where is the rest of it?
broadwaybabee : hi love. this is amazing but wont save me from my doom =[
emmer87 : to bianca--Im not.
emmer87 : looking at this just depresess me because i realize how much i don't know
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Most Missed Words

  1. Theorem 9-4 → In the same circle or in congruent circles 1) congruent arcs have congruent chords 2) congruent chords have congruent arcs - 1 miss
  2. Theorem 9-7 → the measure of an inscribed angle is equal to half the measure of its intercepted arc - 1 miss
  3. Area of a Regular Hexagon → A= 6 * (s²(radical 3)) /4 - 1 miss