Geometry Regents Flashcards
Review for Geometry Regents (32 cards)
Equation of a Cirlce
(x-k)^2 + (y-h)^2 = r^2
Equation of a Line
y-k=m(x-h)
SAS Area of Triangle
1/2ab*sin(x)
SAS Area of A Parallelogram
ab*sin(x)
Central Angle
X = Arc
Inscribed Angle
2x = Arc or X = 1/2 * Arc
Interior Angle
2x = Arc + Arc
Exterior Angle
2x = Arc - Arc
Tangent/Chord Angle
X = 1/2*Arc
SL: Chord/Chord
(part 1) (part 2) = (part 1) (part 2)
SL: Secant/Secant
Outer Part (Whole) = Outer Part (Whole)
SL: Secant/Tangent
Tangent^2 = Outer Part (Whole)
Circumcenter
3 Perpendicular Bisectors
Orthocenter
3 Altitudes
Incenter
3 Angle Bisectors
Centroid
3 Medians
Distance Formula
square root ((Delta y^2) + (Delta x^2))
Congruent Triangle Theorems
SSS, SAS, ASA, AAS, HL
Similar Triangle Theorems
SSS, AA, SAS
A quad is a parallelogram iff
2 pairs opp. sides are parallel, 2 pairs opp. sides are congruent, diagonals bisect each other, 1 pair opp. sides are congruent and parallel, 2 pairs of opp. angles are congruent.
Isosceles Triangle
2 congruent sides, 2 congruent angles
Scalene Triangle
no congruent sides or angles
Right Triangle
has a right angle, can use SohCahToa and Pythagorean theorem
Complementary
Add to 90*