BC: "Don't cry because it's over, Smile because it happened." - Dr Seuss
FC: Geometry Scrapbook Meg Askew
1: Table Of Contents Chapters 1-6 Chapter1:Geometry Basics Angles measures Chapter 2:Angle and Segment Bisectors Complementary,supplementary,vertical angles Chapter 3:Parallel Lines and Angles formed by Transversals perpendicular lines Chapter 4:Triangles (classifying,angle measures) Pythagorean theorem and distance formula Chapter 5: congruent triangles (five ways to tell if congruent) Chapter 6: Polygons (parallelograms,rhombuses,rectangles)
2: Conjecture-an opinion or conclusion formed on the basis of incomplete information | Inductive reasoning -Inductive reasoning, also known as induction, is a kind of reasoning that constructs or evaluates general propositions that are derived from specific examples. | points- It is represented by a dot and named by a capital letter. | Chapter 1 Sections 1.1-1.5 Geometry Basics | Lines-A line (straight line) can be thought of as a connected set of infinitely many points. It extends infinitely far in two opposite directions. | Plane-A plane may be considered as an infinite set of points forming a connected flat surface extending infinitely far in all directions.
3: Points, Planes, and lines | CONJECTURE
4: Angles and their measures | Key Words -Angle -Sides acute,right,obtuse and straight | Angles- consists of two rays that have the same end points Sides-the rays are the sides of the angles Vertex-the end points are the vertex of the angle degree -the measure of an angle is the degree | obtuse angle Real life picture (fan)
5: Acute angle example of an acute angle | Right angle and real life example | straight angle and a real life example
6: Chapter 2: Angle bisectors and Segment bisectors | Bisect: divide into two parts | Examples Clock dart bored A cut pie a old fashion fan
7: Real World Examples
8: Complementary, Supplementary and Vertical Angles | Complementary angles are two angles with a sum of 90. | Supplementary angles are two angles with a sum of 180. | Vertical angles are two angles whose sides form two pairs of opposite rays. We can think of these as opposite angles formed by an X. | Real world example of Complementary Supplementary and vertical angles
9: Supplementary angle The straight line will always equal 180 degrees | Vertical angle the vertical angle will always be congruent | complementary angle complementary angles will always equal 90 degrees
10: Chapter 3 Parallel lines Angles formed by transversals | -Parallel lines- occurring or existing at the same time or in a similar way; corresponding | Angle Transversal When a transversal intersects two lines a series of often-studied angles are formed. If the latter two lines are parallel, then several congruent and supplementary angles
11: Parallel lines | Angle transversal | Real world example Real world example
12: perpendicular lines | perpendicular lines are: at an angle of 90 to a given line, plane, or surface
13: Perpendicular lines Real world example
14: Chapter 4 triangles and the Pythagorean Theorem
15: Types of triangle Equilateral scalene Isosceles | An isosceles triangle is a triangle with (at least) two equal sides. An equilateral triangle is a triangle with all three sides of equal length A scalene triangle is a triangle that has three unequal sides
16: Pythagorean Theorem and Distance Formula | In any right-angled triangle, the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares whose sides are the two legs (the two sides that meet at a right angle). | Pythagorean Theorem
17: Distance formula Distance is a numerical description of how far apart objects are. | Distance : an amount of space between two
18: Chapter 5 Congruent Triangles | 5 ways to tell if a triangle is congruent | 1. SSS (side, side, side) 2. SAS ( side angle side) 3. AAS ( angle angle side) 4. ASA ( angle side angle) 5. HL ( hypotenuse leg) | Congruent: identical in form; coinciding exactly when superimposed.
19: Side Angle Side | angle side angle | Hypotenuse leg | angle angle side | side side side
20: Chapter 6 Polygons | Polygon: a plane figure with at least three straight sides and angles, and typically five or more | Quadrilateral Triangle pentagon hexagon heptagon octagon nonagon decagon | real life examples
21: Real life examples
22: More Polygons Parallelograms, rhombuses, rectangles and squares | RHOMBUS: a parallelogram with opposite equal acute angles, opposite equal obtuse angles, and four equal sides. | Rectangle a plane figure with four straight sides and four right angles, esp. one with unequal adjacent sides, in contrast to a square. | Squares a plane figure with four equal straight sides and four right angles.
23: Rectangles | Squares | Rhombus
25: "An open home, an open heart, here grows a bountiful harvest." - Judy Hand
27: Home is where there's someone to love, and someone to love us.
29: "Write it on your heart that every day is the best day of the year." - Ralph Waldo Emerson