Honors Geometry

Semester 2 Exam Study Guide

You are required to bring your own TI-84, pencil and eraser. It is a good idea to have a spare set of 4-AAA batteries (or a phone battery pack for color calculators) with you in case your calculator needs it during the test.

The exam is designed to cover topics from Algebra 1, all 12 chapters of the Geometry book, and Chapters R, 1 and 2 of the Sullivan Algebra & Trigonometry Book. Algebra 1 skills and techniques are presumed, and may be needed to answer some of the geometric questions. You may wish to go over your Algebra review homework (from pages 57, 131, 199, and 289) or try using the Khan Academy App.

The following are the key topics we have studied thus far:

From chapter 1: Postulates, Axioms, Definitions, Theorems, Lines, Segment, Rays, Angles, Planes, intersections, Bisectors, Angular Bisectors, Vertical Angles, Supplements, and Complements, Midpoint and Distance Formulas, classification of Polygons.

From Chapters 2 and 3: Inductive and Deductive Reasoning, Truth tables, perpendicular lines Parallel Lines, skew versus parallel lines, transversals, corresponding angles, alternate interior angles, consecutive (same side) interior angles, Linear equations, parallel and perpendicular slopes.

From Chapter 4: the sum of interior angles of a triangle (180°), Triangle Congruency Postulates and Theorems: Side-Angle-Side (SAS), Side-Side-Side (SSS), Angle-Side-Angle (ASA), Angle-Angle-Side (AAS), Hypotenuse-Leg (HL), Isosceles Triangle Theorem, Translation, Reflection, Rotation and Dilation, Making a two column proof, supplements and complements to congruent angles are congruent.

From Chapter 5: Midsegment Theorem, Perpendicular bisectors, Angular bisectors, Medians and Altitudes, Inequalities in triangles and a comparing triangles, the triangle inequality Theorem.

From Chapter 6: similar polygons, relating transformations and similarity, proving triangles similar by angle angle, side side side, and SAS. Using proportionality Pharaons and similarity transformations including translation reflection and rotation.

From Chapter 7: the Pythagorean theorem and it's converse, using similar right triangles special right triangles like the 30-60-90 and 90-45-45 triangles. Sine, Cosine and Tangent ratios , Law of Sines and Law of Cosines.

From Chapter 8: interior and exterior angles of polygons properties of parallelograms proving a polygon is a parallelogram special parallelograms including rectangles rhombuses and squares, Properties of trapezoids, their midsegemnts, isosceles trapezoids, and kites.

From Chapter 9: Translations, Rotations, Reflections and Dilations with vectors, Properties of matrices, Compositions of transformations, identifying symmetries

From Chapter 10: Chords, secants, tangents of one or more circles, arc measurement, Properties of chords, segments lengths in circles (intersecting chords, tangents and segments), relationships with the central angles, inscribed angles, and angles on the interior and exterior of the disc, the equation of a circle.

From Chapter 11: Circumference and arc length, Circular area and sector area, area of regular polygons, types of regular polyhedra, area and volumes of prisms, cylinders, pyramids, cones, and spheres. The ratio of lengths, areas and volumes of similar objects.

From Chapter 12: Probability and Odds, Permutations, Combinations, Probabilities of disjoint and and overlapping events, the probability of the complement of an event, and the probability of independant events and dependent events.

From The Sullivan Book: sets, domain, synthetic division, factoring difference of cubes, quadratic form of fractional exponents, abstract understanding of the completing the square technique, absolute value, intercepts, linear inequality, Quadratic inequality, negative exponents, line equation from points, functional notation, perpendicular slope, point-slope form of a line, complex fractions, complex numbers, rationalizing denominators, multiplying polynomials, variation, graphing lines, solving for x and y (substitution or simultaneous), midpoint formula, equations of circles, application of completing the square technique, variation word problems, basic word problems (non-trivial problem solving)

Study Tips

The style of the test combines the free response questions like previous chapter tests, but will also include multiple choice questions similar to a standardized test (PSAT, SAT, ACT, etc). Each chapter has "Standardized Test Practice" problems, including multiple choice questions (if you would like to practice that style of question). Google Classroom also has a lot of old worksheets with problems if you wish to practice further (recall that answers to these are provided in the Files section of PlusPortals if there are not already provided in Google classroom). I always recommend going over old quizzes and tests to remind your self of the questions you mastered and those you need to understand better.

It would be good to go over old quizzes and tests, review what you did well, and learn from any mistakes. Remember there are a lot of worksheets and practice tests at hw.mathorama.com, and Google classroom. You may wish to use Khan Academy to review old topics. If you would like to practice multiple choice and free response questions that compine topics from different chapters, try old New York Regents Exams for Geometry, Algebra 1, and the red boxed questions from Algebra 2. The solutions and more exams can be found at NY Regents Tests

The exam is graded on a curve. Together with your third quarter exam, the Semeter 2 Exam represents 20% of your grade. You can compute your grede with the grade calculator at the bottom of the syllabus.

Finally, remember to go to bed at a descent hour and have a healthy breakfast in the morning so that you are rested enough to think clearly, and do your best. Good luck!