# Pre-AP Geometry Semester Study Guide

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Oct 10, 2013 (4 years and 9 months ago)

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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

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