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