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Geometry finals
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Geometry finals
studing for the geometry finals
Question  Answer 

reflections xaxis  (x,y)>(x,y) [1,0 0,1] 
reflections yaxis  (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  (n2)180 
Each interior angle of a reg polygon  (n2)/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  (xh)^2+(yk)^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  QP 
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:(x2x1)^2+(y2y1)^2) 
slopes of parallel lines  same 
slopes of perpendicular lines  recipricals 
slope intercept form  y=mx+b 
point slope form  yy1=m(xx1) 
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