Pre

AP
Geometry Semester Study Guide
The following will give you an idea of the topics and vocabulary that you might see on
the semester exam. The attached problem set is intended to be a sample of the types of
problems you may see. It should not be you
r only source of review
–
use your book and
notes for other practice problems.
The test will be mostly multiple choice questions with a few
proofs
and/or written
responses
.
Chapter 1
: Foundations
Naming points, lines, rays, planes, segments, and their i
ntersections
Identifying types of angles and solving equations using them
o
Vertical angles
o
Linear pair angles
o
Supplementary angles
o
Complementary angles
o
Bisected angles
o
Adjacent angles
Use midpoint and distance formula
Chapter 2
: Reasoning
Write condition
al statements
o
Conditional
o
Converse
o
Inverse
o
Contrapositive
o
Biconditional
Determine whether conditionals are true or false & provide counterexamples if
false
Use justifications to support conclusions
o
Definitions
o
Postulates
o
Theorems
o
Properties
Other vocab
: truth value, inductive and deductive reasoning
Chapter 3:  &
Lines
Identify types of angles formed by 2 lines & a transversal
o
Alternate interior
o
Alternate exterior
o
Corresponding
o
Same side interior
Show when lines are parallel and solve equations us
ing the theorems of
s above
Find slopes of lines given two points, an equation of a line, or the graphed line
Identify if lines are parallel, perpendicular, intersecting, or coinciding by their
slopes
Other vocab: skew lines, point

slope and slope

interce
pt form of a linear equation
Chapter 4: Δ Congruence
Know and apply the Triangle sum theorem
Know and apply the Exterior angles theorem
Know and apply the 5 ways to prove two triangles congruent
Know what CPCTC stands for and how to apply it
Know and appl
y the Isosceles Triangle theorem
Write a proof using congruent triangles
Write a coordinate proof using variable coordinates
Chapter 5: Properties of Triangles
Identify and apply the theorems of segments of a triangle
o
Perpendicular bisector
o
Angle bisect
or
o
Median
o
Altitude
o
Midsegment
Know the apply the theorems related to centers of a triangle
o
Circumcenter
o
Incenter
o
Orthocenter
o
Centroid
Know and apply the Triangle Inequality theorem
Know and apply the Unequal Sides and Angles theorem
Know and apply the P
ythagorean theorem to find missing side & to determine if a
triangle is acute, right, or obtuse
Know and apply the Special Right Δ theorems
Chapter 7: Similarity
Use proportions to solve problems involving similar polygons
Know the 3 ways to prove 2 trian
gles are similar
Apply the Proportional Perimeters and Areas Theorem to similar polygons
Chapter 8: Right Triangles and Trigonometry
Apply geometric mean theorems to right triangles to solve for missing lengths
Chapter 12: Transformations
Identify and dr
aw reflections, rotations, & translations on the coordinate plane
Identify, draw, and describe compositions of transformations including glide
reflections and those resulting from reflecting over 2 parallel lines or reflecting
over 2 intersecting lines
Identify the type of symmetry a figure has
o
2D shapes
Line (state how many lines and where they are)
Rotational (state the order and degree of rotation)
o
3D shapes
Plane (state how many planes)
Axis (state the order and degree of rotation)
o
Frieze patterns an
d Tessellations
Translation
Reflection
Rotation
Glide reflection
Dilate a figure on the coordinate plane and apply properties of scale factor
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