Math Intensive 2Ab Review (My Weakpoints)

Front 1

Slope Formula

Back 1

m= y₂-y₁/x₂-x₁

Front 2

Distance Formula

Back 2

d= Γ(x₂-x₁)2+(y₂-y₁)2

Γ=square root
2=squared

Front 3

CONDITIONAL: (p->q)
Inverse
Converse
Contrapositive

Back 3

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

Front 4

Midpoint Formula

Back 4

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

Front 5

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

Back 5

sides
medians
altitudes
bisectors
perimeters

Front 6

Special Right Triangles

Back 6

30-60-90 THEOREM: In a 30-60-90 triangle, if the length of the shorter leg is x, then the hypotenuse is 2x and the longer leg is xΓ3
{x, 2x, xΓ3}

45-45-90 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}

Front 7

Mean Proportional

Back 7

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

OR x=Γab

Front 8

Mean Proportional Theorem

Back 8

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}

Front 9

Γx*Γx=

Back 9

Γx*Γx=x
(Γx)2=z

Front 10

If x2+x2=y2, then y


(2=squared)

Back 10

y=xΓ2

Front 11

Alternate Interior Angles Theorem

Back 11

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

Front 12

AA Similarity Postulate

Back 12

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

Front 13

Hypotenuse Leg Theorem

Back 13

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.

Front 14

Rotations
90`
180`
270'

Back 14

1) The measure of the angle of rotation is POSTIVE when the roation is COUNTER-CLOCKWISE

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)

Front 15

Reflection y=x

Back 15

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

Front 16

Transversal

Back 16

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

Front 17

Isosceles Trapezoid

Back 17

2 sides congruent, 2 sides diff

Front 18

Angle Bisector

Back 18

Divides the angle into two equal parts.