Question | Answer |
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) |