Geometry

Opposite Sides

Opposite Angles

Consecutive Angles

Opp. Sides ~=

Diagonals bisect Opp

Consecutive angles supp.

rotations

translation made of 2 reflections

center of a regular polygon

translational symmetry

angle rotation

symmetry

reflectional symmetry

line symmetry

point symmetry

reflections

line of reflection

point/line/rotation/reflectional symmetry

isometry

tessellation

pre-images

scale factor translations

dialation

enlargement

reduction

center

scale factor

There are only 4 isometry

A translation or rotation is a compostion of two reflections

isoscles trapezoid

2 sides that are congruent and a pair of angles that are congruent

oppostie sides

midsegment of a trapezoid

trapezoid

exactly 1 pair of parallel sides (bases)

base

regular polygon

kite

quadrilateral with 2 pairs of consecutive sides congruent and no opposite sides are congruent

opposite angle

coordinate proof

rectangle

leg of a trapezoid

square

base angle

equilateral/equiangular

polygon

parrallelogram

rhombus

diagonals bisect

4 congruent sides

diagonals are perpendicular

square

4 congruent sides

4 right angles

rectangle

4 right angles

diagonals are congruent

consecutive angles

6-11

6-5

6-3

6-4

6-22

6-15

6-7

6-12

6-13

6-8

6-21

inductive reasoning

deductive reasoning

theorem

converse

contrapositive

counterexample

negation

inverse

conditional

biconditional

law if detachment

law of syllogism

p-->q

q-->p

~p-->~q

~q-->~p

Complementary

Vertical

Right

Supplementary

Adjacent

Angles in transversals

~=angles

skew lines

parallel lines

Alternate Exterior Angles

Corresponding Angles Postulate

Same Side Interior Angles

alternate interior angles are =

Acute

Right

Obtuse

Complementary

Supplementary

Perpendicular Lines form right triangles

M<A + M<B + M<C = 180

Vertical angless are congruent

SAS,ASA,AAS,SSS,CPCIP

If 2 angles are supplements/compliments of the same angle (or 2 congruent angles)then the 2 angles are congruent

All right angles are congruent

If a transversal intersects two parallel lines, then corresponding angles are congruent.

If a transversal intersents two parallel lines, then alternate interior and alternate exterior angles are congruent

sine

opposite___hypotenuse

tangent

opposite____adjacent

cosine

adjacent____hypotenuse

45,45,90=x:x:2x

sector of circle

diameter

congruent arcs

concentric circle

apothem

segment of a circle

central adjacemt arcs

arc length

A=1/2 d1d2

A= 1/2 bh

A=1/2h(b1 +b2)

A=1/2b2(sinA)

C=2(pi)r

C=(pi)d

A=bh

A=1/2ap

The length of an arc of a circle is the product of the ratio measure of arc/360 and the circumference of the circle.

V-bwh

similar solids have a ratio of a3:b3

cylinders

(pi)r2h

pyramids

1/3bh

spheres

4/3(pi)r3

rectangular prisms

bwh

cones

1/3bh

isosceles

30-60-90 triangles

In a 30-60-90 triangle the length of the hypotenuse is twice the length of the shorter leg. the length of the longer leg is square root of 3 times the length of the shorter leg.

scalene triangles

45-45-90 triangles

In a 45-45-90 triangle both legs are congruent and the length of the hypotenuse is square root of 2 times the length of the leg

Right triangles

obtuse triangles

If the square of the length of the side of a triangle is greater than the sum of the squares of the lengths of the other two sides, then the triangle is obtuse.

acute triangles

If the square of the length of the longer side of a triangle is greater than the sum of the other two sides then the triangle is acute.

equilateral triangles

volume= 1/3bh

area=1/2bh

Lat. Area=1/2PBl

Surface Area=LA + 2B

AAS

AA~

SSS

SAS

Triangle sum theorem

HL

Pythagorean Theorem- If a triangle is a right triangle, then the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse.

paragraph

flow

2 column

Secants

Chords

arcs

intercepted arc

tangent

point of tangency

tangent to a circle

locus

circumference

radius

diameter

segment lengths --- a*b=c*d

(w+x)w=(y+2)y

(p+q)p=tsquared

circles in the coordinate plane : (x-h) squared + (y-k) squared = r squared

If a line is tangent to a circle, the line is perpendicular to the radius @ the point of tangency.

If a line in plane of a circle is perpendicular to a radius at the endpoint to a circle.

If 2 tangent segments to a circle share a common endpoint outside the circle, then the 2 segments are congruent.