Parallels
4.1 Parallel Lines and Planes 4.2 Parallel Lines and Transversals 4.3 Transversals and Corresponding Angles 4.4 Proving Lines Parallel 4.5 Slope 4.6 Equations of Lines
Parallel Lines and Planes
Y o u will le a rn to d e s c rib e re la tio ns

12.1 Exploring Solids
p. 719
Defns. for 3-dimensional figures Defns.
Polyhedron a solid bounded by polygons that enclose a single region of shape. (no curved parts & no openings!) Faces the polygons (or flat surfaces) Edges segments formed by the interse

11.6 Geometric Probability 11.6
p. 699
Probability Probability
Definition - a # from 0 to 1 that represents the chance that an event will occur. will 0 no chance 1 100% chance (the event will always 100% occur). occur). .5 or - 50% chance Geometric Proba

11.5 Areas of Circles & Sectors Sectors
p. 691
Thm 11.7 Area of a Circle Thm Area
A = r2 * Remember to square the radius 1st, then multiply by !
Ex: Find the area of circle C. Ex
A = r2 A = (3)2 A = 9 cm2 OR 28.27 cm2
cm 3
C
Ex: Find the diameter of circl

11.4 Circumference & Arc Length Length
p.683
Circumference Circumference
Defn. the distance around a circle. Thm. 11.6 Circumference of a Circle Circumference C = 2 r or C = d or * Always use the button on your calculator, Always NOT 3.14! NOT
Ex: Find t

11.3 Perimeters & Areas of ~ Figures Figures
p. 677
Thm 11.5 Areas of ~ Polygons Thm Polygons
If 2 polygons are ~ with a ratio of If corresponding sides a:b, then the ratio of their areas is a2:b2. their ratio of perimeters = a b scale factor or scale
a

11.2 Areas of Regular Polygons Polygons
p. 669
Thm 11.3 Area of an Equilateral Thm 2 s3 The area of an equilateral is: A = The 4 Where does this come from?
s 30o
s3 2
s
Area of a ? A = bh
60o s
s 2
1 s 3 A = ( s) 2 2
A=
s
2
3 4
Why would you want to know

11.1 Angle Measures in Polygons Polygons
p. 661
If all the s iin a add up to 180o n and all the s iin a quadrilateral add n up to 360o, what about a pentagon? up
How about a hexagon? 2 * 180 = 3600
3 * 180 = 540o 4 * 180 = 720o
Thm 11.1 Polygon Interior s

10.7 Locus 10.7
p. 642
Locus Locus
Definition: the set of all points in a Definition: plane that satisfy a given condition or a set of given conditions. or Plural Loci Pronounced: low-sigh
Ex: what is the locus of points that the end of the second hand on

10.5 Segment Lengths in Circles Circles
p. 629
Thm 10.15 Thm
If 2 chords intersect in the interior of a If circle, then circle, B
A C D
AC * CD = BC * CE
F E
Ex: Solve for x. Ex
12 * 9 = 18 * x 108 = 18x 6=x
12
18 x
9
Definitions Definitions
Tangent segme

10.4 Other Relationships in Circles in
p. 621
Thm 10.12 Thm
If a tangent & a chord intersect at a pt. on a If circle, then the measure of each formed is the measure of its intercepted arc. the B 1 A2 C
m 1 = m AB m 2 = m BCA
( (
Example: Example
Find m 1

10.3 Inscribed angles
Pg 613
Inscribed angle- an whose vertex is on a circle and whose sides contain chords of the circle. B A BCD C BD (
Definitions
D
Intercepted arc- the arc that lies in the interior of the inscribed angle and has its endpts on the a

10.2 Arcs and chords 10.2
Pg 603
Central angle Central
Central angle- angle whose vertex is the center of a circle A C B ACB is ACB a central angle angle
Arcs Arcs
Arc- a piece of a circle. Named with 2 or 3 letters Measured in degrees A B
Minor arc- p

Tangents to circles
10.1 pg595
Definitions
Circle- the set of all pts in a plane that are equidistant from a given pt. Center- pt in the middle of the circle Radius- distance from the center of a circle to a pt on the circle Diameter- a chord that passes

8.7 Dilations 8.7
Pg 506
Dilation Dilation
Dilation- a transformation where an Dilationobject (preimage) is enlarged or reduced (image). reduced The image will always be marked The with primes, such as A. with
Reduction If CP=10 Reduction and CP=5, k=? S

8.6 Proportions and ~ s
Pg 498
Thm 8.4 Thm proportionality thm
If a line | to one side of a intersects If | the other two sides, then it divides the 2 sides proportionally. sides A If seg BE | seg CD, then If | B > E
AB AE = BC ED
D
C
>
Thm 8.5 Thm conve

8.5 Proving s ~
Pg 488
REMINDER!
In section 8.4, we had AA~ post Meaning, two corresponding <s
Thm 8.2 Side-Side-Side ~ (SSS~) Thm
If the lengths of the corresponding sides (all 3 pairs) of 2 s are proportional, then the s are ~. X A B C Z Y
AB AC BC if

8.4 Similar triangles
Pg 480
Example In the diagram, LMN~ PQN a) write a statement of proportionality b) Find MN and QM
L
33
M
106o
N
PQ QN PN a) = = LM MN LN
b) MN=22 QM=42
20
Q
36o
30
P
Postulate 25: AA~ post (angle-angle similarity postulate)
If two s

12.2 Surface Area of Prisms & Cylinders
p. 728
Definitions Definitions
Prism polyhedron with 2 faces (called bases) that lie in planes. Named by the shape of the bases. Lateral Faces the faces that are NOT bases (all are ogram shaped) Lateral Edges edges

12.3 Surface Area of Pyramids & Cones Pyramids
p. 735
Pyramid Pyramid
Defn. a polyhedron with a polygon base & polyhedron lateral faces (all s) that share a common s) vertex. vertex. Altitude (height - h) - distance from vertex to base. to Base Edge the

Angles
3.1 Angles 3.2 Angle Measure 3.3 The Angle Addition Postulate 3.4 Adjacent Angles and Linear Pairs of Angles 3.5 Complementary and Supplementary Angles 3.6 Congruent Angles 3.7 Perpendicular Lines
Angles
Y o u will le a rn to na m e a nd id e nti

Circles
11.1 Parts of a Circle 11.2 Arcs and Central Angles 11.3 Arcs and Chords 11.4 Inscribed Polygons 11.5 Circumference of a Circle 11.6 Area of a Circle
Parts of a Circle
You will learn to identify and use parts of circles.
1) circle 2) center 3)

Polygons and Area
10.1 Naming Polygons 10.2 Diagonals and Angle Measure 10.3 Areas of Polygons 10.4 Areas of Triangles and Trapezoids 10.5 Areas of Regular Polygons 10.6 Symmetry 10.7 Tessellations
Naming Polygons
s id es
Y o u will le a rn to na m e p

Proportions and Similarity
9.1 Using Ratios and Proportions 9.2 Similar Polygons 9.3 Similar Triangles 9.4 Proportional Parts and Triangles 9.5 Triangles and Parallel Lines 9.6 Proportional Parts and Parallel Lines 9.7 Perimeters and Similarity
Using Ra

Quadrilaterals
8.1 Quadrilaterals 8.2 Parallelograms 8.3 Tests for Parallelograms 8.4 Rectangles, Rhombi, and Squares 8.5 Trapezoids
Quadrilaterals
Y o u will le a rn to id e ntify p a rts o f q ua d rila te ra ls a nd find th e s um o f th e m e a s ur

Triangle Inequalities
7.1 Segments, Angles, and Inequalities 7.2 Exterior Angle Theorem 7.3 Inequalities Within a Triangle 7.4 Triangle Inequality Theorem
Segments, Angles, and Inequalities
Y o u will le a rn to a p p ly ine q ua litie s to s e g m e nt

More About Triangles
6.1 Medians 6.2 Altitudes and Perpendicular Bisectors 6.3 Angle Bisectors of Triangles 6.4 Isosceles Triangles 6.5 Right Triangles 6.6 The Pythagorean Theorem 6.7 Distance on the Coordinate Plane
Medians
Y o u will le a rn to id e n

Triangles and Congruence
5.1 Classifying Triangles 5.2 Angles of a Triangle 5.3 Geometry in Motion 5.4 Congruent Triangles 5.5 SSS and SAS 5.6 ASA and AAS
Classifying Triangles
Y o u will le a rn to id e ntify th e p a rts o f tria ng le s a nd to c la

8.3 Similar Polygons
Pg 473
Similar polygons
Similar polygons- 2 polygons that have
corresponding s and proportional
corresponding side lengths.
A
B
W
AB BC CD DA
=
=
=
WX XY YZ ZW
D
Z
C ABCD~WXYZ
Y
X
Trapezoid ABCD~ Trapezoid WXYZ.
List all the pairs o

5.6 Indirect Proof and
Inequalities in 2 s
Pg 302
Indirect proof
Indirect proof a proof in which you
prove that a statement is true by first
assuming that the opposite is true.
Steps
1. Assume the prove statement is false
2. Obtain statements that logica