Geometry Regents Study Guide Latest
Updated
2 chords with vertical angles (how to find the vertical angles) equation - add arcs/2
2 Secant Lines - OW=OW
2 Tangent Lines (rule name?) - Tangents are equivalent
party hat theorem
A composition of 2 reflections over 2 parallel lines is equivalent to... - A translation
A composition of 2 relections over 2 intersecting lines is equivalent to... - A rotation
Alternate Exterior Angles are - are congruent
Alternate Interior Angles are - congruent
Altitude Theorem geometric mean - The altitude is hp/alt= alt/other hp
Angle inscribed in semicircle (end points of angle on diameter) DEGREES? - 90
degrees
Angle outside circle formed by tangents and secants - big arc-small arc/2
area of a sector in degrees -
area of a sector in radian form - (x/2π)πr²
Cavalieri's Principle - If 2 solids have the same height and the same cross-sectional
area at every level, they have the same volume
central Angle equivalent - arc
Collinear - On the same line
Complementary Angles - Sum to 90
Composition of Transformations
translation followed by rotation - R90 o T3,-4 (goes right to left)
, Cone base - circle
Cone Cross Section (horizontal) - Circle
Cone Cross Section (vertical) - Triangle
Congruence Triangle Theorems - SAS; AAS; ASA; SSS; HL; CPCTC
coplanar
opposite of... - parallel or on same plane
skew
Corresponding Angles are - congruent
Cylinder base - circles
Cylinder Cross Section (horizontal) - Circle
Cylinder Cross Section (vertical) - Rectangle
density formula (know all 3 ways) - d=mv
Dilation
not.....
create... - NOT rigid motion, NOT isometry
Dilations create similar figures
direct isometry (specific motion) - preserves orientation
Distance formula - d = √( x₂ - x₁)² + (y₂ - y₁)²
Distance Formula coordinate proofs - Length
Each exterior angle polygon - 360/n
Each interior angle polygon - 180(n-2)/n
Exterior angle - Sum of 2 non-adjacent interior angles
if a chord bisects a diameter... - makes right angle
Inscribed Angle equivalent to - 1/2 arc
Interior Angles on the SAME side are - are supplementary
Updated
2 chords with vertical angles (how to find the vertical angles) equation - add arcs/2
2 Secant Lines - OW=OW
2 Tangent Lines (rule name?) - Tangents are equivalent
party hat theorem
A composition of 2 reflections over 2 parallel lines is equivalent to... - A translation
A composition of 2 relections over 2 intersecting lines is equivalent to... - A rotation
Alternate Exterior Angles are - are congruent
Alternate Interior Angles are - congruent
Altitude Theorem geometric mean - The altitude is hp/alt= alt/other hp
Angle inscribed in semicircle (end points of angle on diameter) DEGREES? - 90
degrees
Angle outside circle formed by tangents and secants - big arc-small arc/2
area of a sector in degrees -
area of a sector in radian form - (x/2π)πr²
Cavalieri's Principle - If 2 solids have the same height and the same cross-sectional
area at every level, they have the same volume
central Angle equivalent - arc
Collinear - On the same line
Complementary Angles - Sum to 90
Composition of Transformations
translation followed by rotation - R90 o T3,-4 (goes right to left)
, Cone base - circle
Cone Cross Section (horizontal) - Circle
Cone Cross Section (vertical) - Triangle
Congruence Triangle Theorems - SAS; AAS; ASA; SSS; HL; CPCTC
coplanar
opposite of... - parallel or on same plane
skew
Corresponding Angles are - congruent
Cylinder base - circles
Cylinder Cross Section (horizontal) - Circle
Cylinder Cross Section (vertical) - Rectangle
density formula (know all 3 ways) - d=mv
Dilation
not.....
create... - NOT rigid motion, NOT isometry
Dilations create similar figures
direct isometry (specific motion) - preserves orientation
Distance formula - d = √( x₂ - x₁)² + (y₂ - y₁)²
Distance Formula coordinate proofs - Length
Each exterior angle polygon - 360/n
Each interior angle polygon - 180(n-2)/n
Exterior angle - Sum of 2 non-adjacent interior angles
if a chord bisects a diameter... - makes right angle
Inscribed Angle equivalent to - 1/2 arc
Interior Angles on the SAME side are - are supplementary
