- Or create your own photobook in seconds.
- Create now!

Hello, you either have JavaScript turned off or an old version of Adobe's Flash Player.
Get the latest Flash player.

S: CLUBS

BC: Mixbook.com

FC: Geometry 101 | - | Math tastes funny.... .... | Deena Asghar Period 5

1: Table of Contents | 1 | What is Geometry?........................................................................................................................................... 2 Polygons....................................................................................................................................................................... 3 Measuring and Drawing Angles....................................................................................................... 4 Planes.............................................................................................................................................................................. 5 Constructions.......................................................................................................................................................... 6 Arcs and Angles................................................................................................................................................ 7 Inverse, Converse, and Contrapositive...................................................................................... 8 Points of Concurrency ................................................................................................................................ 9 Inductive Reasoning...................................................................................................................................... 10 Deductive Reasoning.................................................................................................................................... 11 Conditional Statements and Truth Tables............................................................................... 12 Investigating Triangles................................................................................................................................ 13 Isosceles and Equilateral Triangles................................................................................................ 14 Writing Linear Equations........................................................................................................................... 15 Slope............................................................................................................................................................................... 16 Statements and Truth Values................................................................................................................. 17 The Polygon Sum Conjecture............................................................................................................... 18 The Properties of an Isosceles Triangle.................................................................................... 19 Special Angles from Parallel Lines.................................................................................................. 20 Finding the nth Term..................................................................................................................................... 21 Disjunctions and Conjunctions............................................................................................................ 22

2: What is Geometry? | The branch of mathematics concerned with the properties and relations of points, lines, surfaces, solids, and higher dimensional analogs. | Example of Parallel Lines and geometric shapes | 2

3: You don't say.. | POLYGONS | A plane figure with at least three straight sides and angles, and typically five or more. | WARNING: A CIRCLE IS NOT A POLYGON | A REGULAR POLYGON HAS ALL SIDES AND ANGLES EQUAL | 3

4: Measuring and Drawing Angles | 4 | In order to measure and draw angles you need geometric tools. To measure angles you need a protractor. In order to draw an angle, you will need a compass.

5: Planes | A flat surface on which a straight line joining any two points on it would lie. | A plane has no thickness but extends indefinitely in all directions. | A plane is named by a single letter (plane m) or by three non-collinear points (plane ABC). | 5

6: constructions | angle bisector | perpendicular bisector | In order to do constructions, you basically need a compass and a straightedge | 6

7: Arcs and Angles | ANGLE: The space (usually measured in degrees) between two intersecting lines or surfaces at or close to the point where they meet. | ARC: A part of the circumference of a circle or other curve. | MINOR ARC: Minor Arc is smaller of the two arcs formed when a circle is divided into two unequal parts. | Major ARC: Minor Arc is the larger of the two arcs formed when a circle is divided into two unequal parts. | 7

8: INVERSE, CONVERSE AND CONTRAPOSITIVE | (1) statement: if p then q (2) converse: if q then p (3) inverse: if not p then not q (4) contrapositive: if not q then not p (5) Negation: P and not Q | Remember: The contrapositive is the mixing of the inverse and the converse. | inverse: negation of both statements converse: reversal of both statements contrapositive: reversal and negation of both statements negation: contradicts the implication | 8

9: Point of Concurrency | Incenter | Circumcenter | Orthocenter | The point of intersection of the concurrent lines,segments, or rays. | 9

10: Geometry | It is the process of observing data, recognizing patterns and making generalizations about those patterns | INDUCTIVE REASONING | Used to prove or establish that a given statement is true based on a pattern of specific examples or past events

11: is the process of showing that certain statements follow logically from agreed upon assumptions and facts | Deductive Reasoning | PHOTOGRAPHY | The photography club helps students form an appreciation for the art of photography. We love taking photos! | 11

12: Statements: Conditional: if p, then q Converse: if q, then p Inverse: if not p, then not q Contrapositive: if not q, then not p | Conditional Statements and Truth Tables | 12

13: Investigating Triangles | equilateral triangles | isosceles triangle | scalene triangles | right triangles | 13

14: Isosceles and Equilateral Triangles | Isosceles Triangle: A triangle with two congruent sides | Equilateral triangle: a triangle with all sides and angles congruent | isosceles ----> <---- Equilateral | 14

15: Writing Linear Equations | Rise | Run | formula for slope | y=mx+b | slope-intercept form | we know, we know | 15

16: SLOPE | RISE | RUN | FUN FACT:Rene Decartes provided a method to solve the problem of lines and slopes in mathematics by his knowledge in Algebra and Geometry. | M=(X1+X2,Y1+Y2) | 2 2 | A surface of which one end or side is at a higher level than another. | 16

17: statements & | truth values | truth tables: A diagram in rows and columns showing how the truth or falsity of a proposition varies with that of its components. | statements:A definite or clear expression of something in speech or writing | 17

18: The sum of the measures of the n interior angles of an n-gon is 180(n-2) | 180 (n-2) | The polygon sum conjecture | 18

19: The Properties of an Isosceles Triangle | A triangle is isosceles if it has two congruent sides | Triangle Art | If a triangle is isosceles, then its base angles are congruent | 19

20: SPECIAL ANGLES FROM PARALLEL LINES | the opposite angles of a parallelogram are congruent the consecutive angles of a parallelogram are supplementary | 20

21: Finding the Nth Term | In order to find a pattern between terms, you can use inductive reasoning. then you would find a difference between consecutive terms. | if you needed to lets say find the 200th term of the sequence, you would use a rule that gives the nth term which is a function rule. | 21 | find the nth term f

22: A conjunction is a compound sentence that is formed by connecting two simple sentences using the word and. | Disjunctions and Conjunctions | A disjunction is a compound sentence that is formed by connecting two simple sentences using the word or | original statements | a compound statement can be made by joining simple statements with connectives such as and, or, and if then | 22

23: - | - | Geometry 101 | by: Deena | Asghar | ____

Create an account so we can save your project!

or

By clicking on the Create button, you agree

to Mixbook's Terms of Service.

to Mixbook's Terms of Service.

Welcome back! Go ahead and Log In

or

Your first order