Formulas and theorems for final exam.notebook
Ch. 1
Pairs of angles
Transformations
Angle addition postulate
Segment addition postulate
June 07, 2016
Formulas and theorems for final exam.notebook
Ch. 2
q
p
q
r
p
r
June 07, 2016
Formulas and theorems for final exam.notebook
June 07, 2016
Ch. 3
Parallel lines cut by a transversal:
1. corresponding angles 1 and 6
2. Alternate­interior angles 3 and 6
3. Alternate­exterior angles 1 and 8
4. Same­side interior angles 4 and 6
Formulas and theorems for final exam.notebook
June 07, 2016
Ch. 4
Classifying triangles
exterior angle theorem
3rd angle theorem: angles F and C are congruent!
Triangle congruence theorems
Formulas and theorems for final exam.notebook
Ch. 5 Points of concurrency
Incenter: formed by angle bisectors. equidistant to sides of triangle
Circumcenter: formed by perpendicular bisectors. equidistant to angles of triangle
Centroid: formed by medians. "as easy as 1­2­3"
Orthocenter: formed by altitudes. no properties. Angle­side relationship in triangles
Hinge theorem
Classify triangles using pythagorean theorem
June 07, 2016
Formulas and theorems for final exam.notebook
June 07, 2016
Ch. 6
Sum of all interior angles = 180(n­2)
Sum of all exterior angles = 360
One exterior angle = 360/n
One interior angle = 180 ­ one exterior angle
Diagonals of parallelograms
Parallelogram: 1. bisect each other
Rectangle: 1. Bisect each other 2. congruent
Rhombus: 1. Bisect each other 3. bisect angles 4. perpendicular
Square: 1. 2. 3. 4.
Formulas and theorems for final exam.notebook
Ch. 7
Similar Triangles
x
14
3
= 21
Dilations in the coordinate plane: (x,y)
(kx, ky)
June 07, 2016
Formulas and theorems for final exam.notebook
Ch. 8
Law of Sines
June 07, 2016
Formulas and theorems for final exam.notebook
Ch. 10
Finding the area in the coordinate plane: draw a rectangle around the shape!
June 07, 2016
Formulas and theorems for final exam.notebook
Ch. 11
June 07, 2016
Formulas and theorems for final exam.notebook
ch. 12
June 07, 2016
Warm Up
Formulas Needed on Test
Angle­Arc Relations
center
inside
outside
on
Product Rules
chord­chord
secant­secant
Sector Area
tangent­secant
Arc Length
Segment Area
Formulas and theorems for final exam.notebook
June 07, 2016