Geometry Semester 1 Study Guides

Geometry, Fall 2007—Outline of what you need to know for the Final Exam:

Topics to Review

Chapter 1

  • Complete a pattern
  • Find a formula for the nth term of the pattern
  • Determine if a pattern is linear, quadratic or exponential

10 problems

Pg. 659: 1, 3, 5, 11, 15, 49-55 (odd)

Chapter 2

  • Basic triangle geometry
  • Vertical angles
  • Linear pairs
  • Interior angles of regular polygons
  • Exterior angles of regular polygons
  • Properties of quadrilaterals, especially parallelograms (angles, sides, diagonals)
  • Rotational and reflectional symmetry

18 problems

Pg. 661: 5-10; 13-15; 29-37

ANGLE PUZZLE—See bottom of page

Chapter 3

  • Inductive vs. deductive reasoning
  • Deductive reasoning proof with angles
  • Writing statements in conditional form
  • Conditional and converse of statements – identify hypothesis and conclusion
  • Pythagorean theorem
  • Determining if a triangle is acute, right or obtuse

12 problems

Pg. 663: 30, 37 – 57 (odd)

Chapter 4

  • Finding the midpoint of a segment given the two endpoints
  • Finding the length of a segment given the two endpoints
  • Finding the slope given two points
  • Writing equations of lines given:
    • Two points
    • Point and a slope
    • Point and equation of a line parallel
    • Point and equation of a line perpendicular
  • Special case lines (horizontal and vertical)
  • Classifying polygons using slope and side lengths

11 problems

Pg. 665: 3-9 (odd); 21-29 (odd); 36-41

Chapter 5

  • Properties of angles in parallel lines
    • Alternate interior angles
    • Same-side interior angles
    • Corresponding angles
  • Deductive reasoning proof with angles in parallel lines
  • Algebra with angles formed by two parallel lines and a transversal
  • Distance between a point and a line
  • Big angle puzzles

8 problems

Pg. 667: 9-14; 32-33

Chapter 7

  • Classifying quadrilaterals
  • Reflections (across x-axis, y-axis and y=x)
  • Translations
  • Rotations (around the origin)
  • Dialations

8 problems

Pg. 672: 1-15 (odd)

Chapter 8

  • Classifying quadrilaterals
  • Parallelograms and conditions for special parallelograms
  • Properties of special parallelograms
  • Properties of diagonals of special parallelograms

10 problems

Pg. 675: 7-25 (odd)

30-Point Review Homework—Due before you take your final.

Study Tips!

Looking over previous chapter tests is a great way to study! Go through the questions you got correct and make sure you can still do them. Then, look at the questions you got wrong and try to redo them. If a question was on a test, a question like it has a good chance of being on the final exam!

In order to further prepare you for the final exam, this is a comprehensive review assignment worth 30 homework points! Be sure you show all work and put maximum effort into this assignment. You only will get out of it as much as you put in to it. The harder you work on it, the more you'll learn and the better prepared you will be for the exam. You have almost a week to do this assignment. This is a long assignment—don't wait until the night before to do it! Make sure you check your answers in the back of the book. Please circle problems that you have trouble with and make sure you get help during class or STAR. You are responsible for identifying what you need to review in class.

ANGLE PUZZLE—Fill in all interior angles.

**GIVEN: l2 // l3, l1 ^ l2