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18 Cards in this Set
 Front
 Back
Slope Formula

m= y₂y₁/x₂x₁


Distance Formula

d= Γ(x₂x₁)2+(y₂y₁)2
Γ=square root 2=squared 

CONDITIONAL: (p>q)
Inverse Converse Contrapositive 
Inverse (~p>~q) F
Converse (q>p) F Contrapositive (~q>~p) T [logical equivalent] 

Midpoint Formula

(x,y)=(x+x/2,y+y/2)


If 2 triangles are similar, what 5 things must be in proportion?

sides
medians altitudes bisectors perimeters 

Special Right Triangles

306090 THEOREM: In a 306090 triangle, if the length of the shorter leg is x, then the hypotenuse is 2x and the longer leg is xΓ3
{x, 2x, xΓ3} 454590 THEOREM: In an isosceles right triangle, if the length of a leg is x, then the other lef is s x and the hypotenuse is xΓ2 {x, x, xΓ2} 

Mean Proportional

The mean proportional of 2 numbers 'a' and 'b' is the positive number 'x' such that
a/x = x/b OR x=Γab 

Mean Proportional Theorem

IN A RIGHT TRIANGLE, IF AN ALTITUDE IS DRAWN TO THE HYPOTENUSE:
1) The 2 triangles created by the altitude are similar and both are similar to the original right triangle. 2) The altitude drawn is the mean proportional to the 2 parts of the hypotenuse {x/part1 = part2/x} 3) The leg of the original right triangle is the mean proportional to the part of the hypotenuse adjacent and the whole hypotenuse. {leg/adjpart=hyp/leg} 

Γx*Γx=

Γx*Γx=x
(Γx)2=z 

If x2+x2=y2, then y
(2=squared) 
y=xΓ2


Alternate Interior Angles Theorem

If two parallel lines are cut by a
transversal, then the alternate interior angles are congruent. 

AA Similarity Postulate

If two angles of one triangle are congruent to two angles of another triangle, then the two triangles are similar.


Hypotenuse Leg Theorem

If the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle, then the two triangles are congruent.


Rotations
90` 180` 270' 
1) The measure of the angle of rotation is POSTIVE when the roation is COUNTERCLOCKWISE
2) The measure of the angle rotation is NEGATIVE when the rotation is CLOCKWISE R90`(x,y)=(y,x) 180`(x,y)=(x,y)? R270`(x,y)=(y,x) 

Reflection y=x

Ry=x(x,y)=(y,x)


Transversal

A line that cuts across a set of lines or the sides of a plane figure. Transversals often cut across parallel lines.


Isosceles Trapezoid

2 sides congruent, 2 sides diff


Angle Bisector

Divides the angle into two equal parts.
