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# Geometry finals

### studing for the geometry finals

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) |

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