Geo/Trig Midterm Study Guide
1. Vocabulary
Chapter 1
- 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
- Inductive/Deductive Reasoning
- Counterexample
- Conjecture
- Conditional Statement
- 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
- Parallel Lines
- Skew Lines
- Transversal
- Corresponding, Alternate Interior/Exterior, Consecutive Interior Angles
- Slope
- Slope-intercept form
- Standard form
- x/y-intercept
Chapter 4
- 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
- Reflection
- Rotation
- Translation
Chapter 5
- 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)
- 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-the-blank questions, and 9 open response questions. There is no partial credit for the matching, fill-in-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.