Geo/Trig Midterm Study Guide
1. Vocabulary
Chapter 1
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Collinear Points
Coplanar Points
Segment
Ray
Endpoint
Line
Plane
Opposite Rays
Intersection
Postulate/Axiom
Distance
Congruent (Angles, Sides, Figures)
Midpoint
Segment/Angle Bisector
Angle (Acute, Right, Obtuse, Straight)
Vertex
Sides
Complementary/Supplementary Angles
Adjacent Angles
Linear Pair
Vertical Angles
Polygon
Convex
Concave
N-gon
Equilateral
Equiangular
Regular
Radius
Diameter
Chapter 2
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Inductive/Deductive Reasoning
Counterexample
Conjecture
Conditional Statement
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If-then form
Hypothesis/Conclusion
Negation
Converse, Inverse, Contrapositive
Perpendicular Lines
Biconditional Statements
Law of Detachment/Syllogism
Postulate/Theorem
Equation
Reflexive, Symmetric, Transitive Property of Congruence/Equality/Congruent Triangles
Proof/Two-Column Proof
Chapter 3
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Parallel Lines
Skew Lines
Transversal
Corresponding, Alternate Interior/Exterior, Consecutive Interior Angles
Slope
Slope-intercept form
Standard form
x/y-intercept
Chapter 4
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Triangle
Scalene, Isosceles, Equilateral, Acute, Right, Obtuse, Equiangular Triangle
Interior/Exterior Angles
Corollary to a Theorem
Congruent Figures
Corresponding Parts
CPCTC (Corresponding Parts of Congruent Triangles are Congruent)
Side-Side-Side (SSS) Congruence Postulate
Side-Angle-Side (SAS) Congruence Postulate
Hypotenuse-Leg (HL) Congruence Theorem
Angle-Side-Angle (ASA) Congruence Postulate
Angle-Angle-Side (AAS) Congruence Theorem
Base Angles
Vertex Angle
Base
Legs
Transformation
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Reflection
Rotation
Translation
Chapter 5
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Midsegment of a Triangle
Perpendicular Bisector
Equidistant
Concurrent
Point of Concurrency
Circumcenter
Incenter
Angle Bisector
Median of a Triangle
Centroid
Altitude of a Triangle
Orthocenter
Side opposite
Inequality
Indirect Proof
Included Angle
Chapter 6 (9/10) Chapter 8 (3/4)
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Ratio
Proportion
Mean
Extreme
Similar Polygons
Scale Factor
AA Similarity Postulate
SSS Similarity Theorem
SAS Similarity Theorem
Dilation
Reduction
Enlargement
2. Theorems/Postulates: Be sure to look through the Theorems/Postulates within these 6
chapters. Many of the vocabulary words above relate to theorems in the chapters. By now you
should understand how to use theorems/postulates within proofs as the “reasons” (although some
reasons are not a theorem/postulate such as “definition of midpoint” or “Transitive Property).
3. Proof writing: For this midterm we will only be using two-column proofs for proof writing.
You will not be given a “cheat sheet” with names of “reasons” as we have done MANY proofs
together as well as the fact that many of the vocabulary words above can be used as “reasons”.
All proofs on the midterm will be under 6 lines.
4. Practice Questions: Review questions given on quizzes/tests which have been/will be handed
back to you. Within each section, complete practice exercises in order to gain confidence with
the material. All odd questions have provided answers in the back of the book. Use this to your
advantage. Also, there will be some challenge problems in the exercises at the end of each
section. Please attempt these problems as they are a challenge and will allow you to gauge your
proficiency. Like all things in life, mastery requires practice.
5. Midterm Info: This midterm will consist of 16 matching, 14 multiple choice, 10 fill-in-theblank questions, and 9 open response questions. There is no partial credit for the matching, fillin-the-blank, and multiple choice sections. Partial credit can be awarded in the open response
section. Please do not put off studying for this midterm until the last week/cram. Studying
requires time for both reviewing, practicing, and allowing information to “sink in”. On the day
of/night before the midterm, get plenty of rest, each a nutritious breakfast, and be as prepared as
you possibly can be. You have learned much this year so far and I am very proud of your
accomplishments and hard work.