HONORS GEOMETRY MIDTERM STUDY GUIDE

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HONORS GEOMETRY MIDTERM STUDY GUIDE

CHAPTER 1: TOOLS OF GEOMETRY

Points, Lines, Planes, Segments, Rays, Collinear & Coplanar, Measuring Segments, Midpoint,

Measuring Angles, Angle Pairs (adjacent, vertical, complementary, supplementary, linear pairs, congruent)

 Textbook pgs 70-74/ 1-2, 4, 7-25

 Textbook pg 75/ 3-6, 9, 11-14, 18-24

CHAPTER 2: REASONING AND PROOF

Patterns & Inductive Reasoning, Conditional Statements (hypothesis, conclusion), the

Converse/Inverse/Contrapositive of a Conditional, Biconditionals, Deductive Reasoning,

Laws of Detachment and Syllogism, Reasoning in Algebra including 2-column proofs

(properties of equality and congruence), Proving angles congruent (vertical angles theorem, theorems 2-1 to 2-5)

 Textbook pgs 129-132/ 1-21, 25-38

CHAPTER 3: PARALLEL & PERPENDICUALR LINES (3-1 to 3-5)

Special Angles Pairs formed by a Transversal (corresponding, alternate interior & exterior, same-side interior & exterior), Properties of Parallel Lines cut by a Transversal, Proving

Lines Parallel, Triangle Angle-Sum Theorem, Triangle Exterior Angle Theorem

 Textbook pgs 206-210/ 1-2, 4-5, 7-29

 Textbook pg 211/ 1-7, 10-13, 17-18, 22-23

CHAPTER 4: CONGRUENT TRIANGLES

Identify and Name Corresponding Triangles and their Parts, Proving Triangle Congruence using Shortcuts (SSS,SAS,AAS,ASA,HL) and CPCTC, Special Triangle Properties and Proofs

(right, isosceles, equilateral, overlapping)

 Textbook pgs 273-276/ 1-33

 Textbook pg 277/ 1-14

CHAPTER 5: RELATIONSHIPS WITHIN TRIANGLES

Midsegments, Perpendicular and Angle Bisectors, Bisectors/Medians/Altitudes in Triangles,

Points of Concurrency (circumcenter, incenter, centroid, orthocenter), Inequalities in One

Triangle (Triangle Inequality Theorem), Inequalities in Two Triangles (Hinge Theorems)

 Textbook pgs 341-344/ 1-5, 7-13, 15, 18-23, 31-37

 Textbook pg 345/ 5, 7-15

CHAPTER 6: POLYGONS AND QUADRILATERALS (6-1 TO 6-4)

Classify and use properties of polygons, Polygon Angle-Sum Theorems, Properties of

Parallelograms, Prove a Quadrilateral is a Parallelogram, Define and use properties of special types of parallelograms (rhombus, rectangle, square)

 Textbook pgs 420-422 / 1-3, 5-28

 Textbook pg 425/ 1-2, 7-9, 12-18

CHAPTER 9: TRANSFORMATIONS (9-1 TO 9-5)

Translations, Reflections, Rotations, Glide Reflections, Compositions of Isometries,

Congruence Transformations

 Textbook pgs 602-605/ 1, 3-15, 20-21

 Textbook pg 607/ 1-3, 5-6, 8-15

Your best study materials are all of your old quizzes and tests from the semester. Make sure you know how to complete all problems and proofs from those assessments. Be familiar with all theorems and postulates packet covered in class (textbook p.902 – 907). You will receive a copy of the packet to use as a reference during the midterm. If I felt it was important enough for a quiz or test, it is definitely important enough for a midterm exam.

Happy Studying!

Part 2 – Ch 9 Transformations Review – Complete each problem.

Part 3 – Ch 6 Review - Polygons

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