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# Geometry finals

### studing for the geometry finals

reflections x-axis (x,y)->(x,-y) [1,0 0,-1]
reflections y-axis (x,y)->(-x,y) [-1,0 0,1]
reflections y=x (x,y)->(y,x) [0,1 1,0]
reflections y=-x (x,y)->(-y,-x) [0,-1 -1,0]
Rotations (about origin) 90 CW (x,y)->(y,-x) [0,1 -1,0]
Rotations (about origin) 270 CC (x,y)->(y,-x) [0,-1 -1,0]
Rotations (about origin) 180 CW or CC (same) (x,y)->(-x,-y) [-1,0 0,-1]
Rotations (about the origin) 270 CW (x,y)->(-y,x)[0,-1 1,0]
Rotations (about the origin) 90 CC (x,y)->(-y,x) [0,-1 1,0]
sum of interior angles of a regular polygon (n-2)180
Each interior angle of a reg polygon (n-2)/n(180)
sum of the exterior angles 360
each exterior angles of a regular polygon 360/n
Pythagorean Theorem a^2+b^2=c^2
Pythagorean Theorem:acute a^2+b^2>c^2
Pythagorean Theorem:obtuse a^2+b^2
Area of a square s^2
Area of a rectangle lw
Area of a triangle (1/2)bh
Area of a Rhombus (1/2)(d1+d2)
Area of a Trapezoid (1/2)h(b1+b2)
area of a regular polygon (1/2)ap
Area of a Circle (pi)r^2
circumference of a circle (pi)d
Arc Length of a circle 2(pi)r(x/360)
Area of a sector in a circle (x/360)(pi)r^2
Standard Form of the Equations of a circle (x-h)^2+(y-k)^2=r^2
Surface (total) area of a Sphere 4(pi)r^2
Volume of a Sphere (4/3)(pi)r^3
Sine SOH
cosine CAH
Tangent TOA
Converse If Q, then P
Inverse If not P,then not Q
Contrapositive If not Q,then not P
Biconditional P,if and only if,Q
Statement If P,then Q
Signs:Inverse ~P-~Q
Signs:Converse Q-P
signs:Biconditional P<->Q
signs:Contrapositive ~Q-~P
Alternate angles are congruent
Consecutive angles are supplementary
corresponding angles are congruent
exterior angles are congruent
sum of complementary angles are 90 degrees
sum of supplementary angles are 180 degrees
ways triangles are congruent SSS,SAS,ASA,AAS,HL
ways triangles are similiar SSS,ASA,AA
Measure of a central angle measure of intercepted arc
measure of inscribed angled (1/2)measure of intercepted arc
measure of angled formed by 2 chords inside a circle (1/2)sum of intercepted arcs
measure of angles formed secants and/or tangents outside a circle (1/2)difference of intercepted arc
ratio of the perimeters x:4
ratio of the areas x^2:y^2
ratio of the volumes x^3:y^3
distance formula (sq.rtof:(x2-x1)^2+(y2-y1)^2)
slopes of parallel lines same
slopes of perpendicular lines recipricals
slope intercept form y=mx+b
point slope form y-y1=m(x-x1)
Created by: 1422592946