- 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.

BC: The End

FC: Discovering the fun of Geometry! Tsz Yan Lee Period5 | Geometry Scrapbook

1: Table of Contents | 1 | Midpoints --------------------P.2-3 Polygons----------------------P.4-9 Disjunctions and Conjunctions-------P.10-11 Angle Relationships-------------P.12-15 The Properties of Isoceles Triangle-P.16-17 Isosceles and Equilateral Triangles-P.18-19 Identifying Quadrilaterals-----------P.20-21 Inductive Reasoning--------------P.22-23 Inverse, Converse, and Contrapositives-P.24-26 Geometry Jokes-------------------------P.27 The Triangle Sum Conjecture-------P.28-29 The Polygon Sum Conjecture--------P.30-32

2: Midpoint | A midpoint is the point on a line segment that is the same distance from both endpoints.

3: The midpoint, (1+4)/2 , (1+3)/2 = (2.5, 2)

4: Polygons | Polygons: A closed figure formed by joining three or more line segments in a plane at their endpoints with each line segment joining exactly two others. | Side of a polygon: Each line segment that forms a polygon. | Vertex of a polygon: Each point where two sides of a polygon meet. The plural of vertex is vertices.

5: Diagonal: A line segment that joins two nonconsecutive vertices of a polygon. | Regular polygon: A polygon in which all sides have the same length and all angles have the same measure.

7: Equilateral Polygon: When all sides have equal lengths | Equiangular Polygon: When all angles have equal measures

8: Convex Polygon: A polygon whose each of the interior angle measures less than 180

9: Concave Polygon: If one or more than one angle in a polygon measures more than 180 then it is known as concave polygon.

10: Disjunctions and Conjunctions | Disjunctions: A compound statement formed by joining two or more simple statements with the word OR | Disjunctions: Truth Table

11: Conjunctions: A compound statement formed by joining two or more simple statement with the word "AND" | Conjunctions: Truth Table

12: Angle Relationships | Acute angle: An angle with measure greater than 0 and less than 90 degrees. | Obtuse Angle: An angle with measure greater than 90 and less than 180 degrees.

13: Right angle: An angle with measure equal to 90 degrees. | Straight angle: An angle with measure 180 degrees. | Complementary angle: Two angles for which the sum of their measures is 90 degrees.

14: Supplementary Angles: Two angle for which the sum of their measures is 180 degrees. | Adjacent Angles: Two angles that share a common side but do not overlap each other.

15: Vertical Angles: When two lines intersect, the angles are always equal in measure and called vertical angles.

16: The Properties of Isosceles Triangle | If a triangle is isosceles, then its base angles are congruent. | The Isosceles Triangle Conjecture

17: Converse of the Isosceles Triangle Conjecture | If a triangle has two congruent triangles, then it is an isosceles triangle.

18: Isosceles and Equilateral Triangles | Vertex Angle Bisector Conjecture | In an isosceles triangle, the bisector of the vertex angle is also the altitude and the median to the base.

19: Equilateral/ Equiangular Triangle Conjecture | Every equilateral triangle is equiangular, and, conversely, every equiangular triangle is equilateral.

20: Identifying Quadrilaterals | Trapezoid: A quadrilateral having two parallel sides. | Kite: is a quadrilateral whose four sides can be grouped into two pairs of equal-length sides that are adjacent to each other. | Parallelogram: is a simple (non self-intersecting) quadrilateral with two pairs of parallel sides

21: Rhombus: is a simple (non-self-intersecting) quadrilateral whose four sides all have the same length. | Rectangle: is any quadrilateral with four right angles

22: Inductive Reasoning | Inductive Reasoning is a type of reasoning that allows you to make conclusions based on a pattern of specific examples or past events. It is the process of observing data, recognizing patterns and making generalizations about those patterns.

23: Example: | Answer: D

24: Inverse, Converse and Contrapositive | Inverse: The inverse of a conditional statement is formed by negating (inserting "not") the hypothesis and the conclusion. | Conditional: If I am sleeping, then I am breathing. | Inverse: If I am not sleeping, then I am not breathing. | P Q | The inverse of | is | ~P ~Q

25: Converse: The converse of a conditional statement is formed by switching the hypothesis and the conclusion. | The converse of | P Q | is | Q P | Conditional: If I am sleeping, then I am breathing. | Converse: If I am breathing, then I am sleeping.

26: Contrapositive: The contrapositive if a conditional statement is formed by negating and switching the hypothesis and conclusion. | The contrapositive of | P Q | ~Q ~P | is | Conditional: If I am sleeping, then I am breathing. | Contrapositive: If I am not breathing, then I am not sleeping.

27: Geometry Jokes | Q: Why did the obtuse angle go to the beach? A: Because it was over 90 degrees. | Q. What shape is usually waiting for you at Stabucks? A. A line.

28: The Triangle Sum Conjecture | Triangle Sum Conjecture: The sum of the measures of every triangle is 180 degrees.

29: Triangle Exterior Angle Conjecture: The measure of an exterior angle of a triangle is equal to the sum of the measures of the remote interior angles. | C+D=A

30: The Polygon Sum Conjecture | Quadrilateral Sum Conjecture: The sum of the measures of the four angles of any quadrilateral is 360 degrees

31: Pentagon Sum Conjecture: The sum of the measures of the five angles of any pentagon is 540 degrees | a+b+c+d+e=540

32: Polygon Sum Conjecture: The sum of the measures of the n interior angles of an n-gon is 180(n-2) degrees

33: The End

Get up to **50**% off your first order!

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