BS00559_

 

BS00559_

 
GEOMETRY CARD FILE ASSIGNMENT

 

PURPOSE

To help you manage all the facts (theorems, definitions, formulas, etc.) that you will learn in CP Geometry.

 

MATERIALS

3” X 5” index cards

 

DESCRIPTION

1.      For each chapter you study, you will be given an assigned list of terms. (You may always make more than I have assigned.) The list won’t contain every term, just some that I have chosen.

2.      You will have six types of cards in the Card File- definitions, postulates, properties, theorems, corollaries, and formulas. On the front of all cards, you should note the chapter, section, and page number in the lower right hand corner of the card .Also on the front of each card, you will write either the definition word, postulate name, property name, theorem number or name, corollary number, or formula name whichever applies. On the back, write the full statement of the definition or whatever type of card it is, with a labeled diagram and number example of its. For formula cards, write the formula and an example. The theorem cards require a Given, Prove, And Diagram on the back.

3.      The Card File has a required order of cards. That order is as follows: Definitions, Properties, Postulates, Theorems, Corollaries, and Formulas that don’t fit one of the other categories. Please put definition cards in alphabetical order. The theorems, properties, and postulates should appear in the order in which you have learned them. Corollaries should follow the theorem to which it belongs. Your name should appear on a card at the front. So the final order of the cards is all alphabetized definitions first, followed by properties in order learned, followed by Postulates in numerical order, then Theorems in numerical order and last formulas in the order they appear in the text. DO NOT DIVIDE THE CARD FILE BY CHAPTERS.

 

GRADING

1.      On test days, your file will be collected and graded. I will arbitrarily pick certain cards to grade at each test.

2.      Each time, I collect and grade the cards it will be worth a total of 10 points.

3.      Files will be graded for completeness, accuracy, and neatness.

4.      If you have forgotten your Card File on the day of a test, you will receive a zero. In other words NO LATE Card Files.

5.      If you are absent on the day of the test, you must remember to bring in your Card File to me the next day of class.

6.      There will be other days that I ask for the Card File in class. They will be announced at those times.

 

 

 

 

 

 

CHAPTER 1 POINTS, LINES, PLANES, AND ANGLES

 

 

 

 

 

 

 

 

 

 

 

DEFINITIONS

 

 

 

 

POSTULATES

 

THEOREMS

 

point

 

 

angle

 

 

Ruler Postulate

 

1.1

 

line

 

 

acute angle

 

Segment Addition Postulate

1.2

 

plane

 

 

right angle

 

Protractor Postulate

 

1.3

 

collinear points

 

obtuse angle

 

Angle Addition Postulate

 

 

segment

 

 

straight angle

 

Postulate 6

 

 

 

ray

 

 

congruent angles

 

Postulate 7

 

 

 

opposite rays

 

adjacent angles

 

Postulate 8

 

 

 

congruent segments

 

bisector of an angle

 

Postulate 9

 

 

 

 

midpoint of a segment

bisector of a segment

 

 

 

 

 

coplanar points

 

 

 

 

 

 

 

 

 

 

CHAPTER 2 DEDUCTIVE REASONING

 

 

 

 

 

 

 

 

 

 

 

DEFINITIONS

 

 

 

 

PROPERTIES

 

THEOREMS

 

conditional

 

 

 

 

Addition Property

 

Midpoint Theorem

hypothesis

 

 

 

 

Subtraction Property

 

Angle Bisector Theorem

conclusion

 

 

 

 

Reflexive Property

 

2.3

 

converse

 

 

 

 

 

Symmetric Property

 

2.4

 

counterexample

 

 

 

 

Transitive Property

 

2.5

 

biconditional

 

 

 

 

Substitution

 

 

2.6

 

complementary angles

 

 

 

 

 

 

2.7

 

supplementary angles

 

 

 

 

 

 

2.8

 

vertical angles

 

 

 

 

 

 

 

 

 

perpendicular lines

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

CHAPTER 3 PARALLEL LINES AND PLANES

 

 

 

 

 

 

 

 

 

 

 

DEFINITIONS

 

 

 

 

THEOREMS

 

POSTULATES

parallel lines

 

isosceles triangle

 

3.1

3.8

 

Postulate 10

 

skew lines

 

acute triangle

 

3.2

3.9

 

Postulate 11

 

parallel planes

 

obtuse triangle

 

3.3

3.10

 

COROLLARIES

alternate interior angles

right triangle

 

3.4

3.11

 

1,2,3,4(for thm 3.11)

 

same-side interior angles

equiangular triangle

 

3.5

3.12

 

 

 

corresponding angles

 

polygon

 

 

3.6

3.13

 

FORMULAS

 

transversal

 

convex polygon

 

3.7

3.14

 

each exterior angle

triangle

 

 

diagonal

 

 

 

 

 

each interior angle

scalene triangle

 

regular polygon