FC: Geometry Project Dec. 11, 2012 Trevor Mace 2nd Period
1: title Page Page 1.... Table of Contents. Page 2.... 3 definitions of Ch. 1 and real world examples. Page 3.... Picture and examples. Page 4.... The Definition of angle and the real world relation. Page 5.... Picture and examples. Page 6.... Definition of angles and segment bisectors and the real world relation. Page 7.... Picture and examples. page 8.... Definition of comp., supp, and vertical angles and real world relation Page 9.... Picture and examples. Page 10.... Definition of parallel lines and real world relation. page 11.... Picture and examples page 12.... definition of Perpendicular lines and real world relation. page 13.... Picture and examples page 14.... Definition of triangles and real world relation. page 15.... picture and examples page 16.... definition of Pythagorean theorem and distance Formula and real world relation. page 17.... picture and examples page 18.... Definition of congruent triangle and real world relation. page 19.... Pictures and examples page 20.... Definition of Polygons and Real world relation page 21.... picture and examples
2: Definition: Postulate- statements that are excepted without further justification. Collinear point- points that lie on the same line. Coplanar point- points that lie on the same plane. Real World Relation: Architects use parallel lines to build safe structures. Parallel lines create stronger support system for building.
3: This is my picture
4: Definition: Angle- The space (usually measured in degrees) between two intersecting lines or surfaces at or close to the point where they meet. Real World Relation: In baseball, angles make a big difference in the game. Differing a win or a loss. Example: When the pitch is thrown and you hit the ball, the bat has to be at a good enough angle to stay in fair territory.
5: This is my picture.
6: Definition: Angle Bisector- A line which cuts an angle into two equal halves. Segment Bisector- A line, ray or segment which cuts another line segment into two equal parts. Real World Relation: A seesaw would be an example.
7: Don't think: Look! -Ludwig Wittgenstein | This is the picture.
8: Definition: Complementary- Two Angles are Complementary if they add up to 90 degrees (a Right Angle). They don't have to be next to each other, just so long as the total is 90 degrees. Supplementary- Either of two angles whose sum is 180. Vertical Angles- Each of the pairs of opposite angles made by two intersecting lines. Real World Relation: Complementary- From home plate (hitting the ball over the fence) then jogging around the bases back to home plate. Supplementary- Running from first base to third base.
9: Complementary Angles---> Supplementary Angles----> Vertical Angles------------>
10: Definition: Parallel Lines- Two lines that will never intersect. Real World Relation: The two sides of the T.V.
11: This is the picture.
12: Definition: Perpendicular Lines- When two lines cross each other and their angle is 90*. Real World Example: When you are making windows (when drawing) the lines are perpendicular.
13: This is my picture.
14: Definition: Triangle- A plane figure with three straight sides and three angles. A thing shaped like such a figure. Real World Relation: In architecture similar triangles are used to represent doors and how far they swing open.
15: This is my picture.
16: Definition: Pythagorean Theorem- The theorem that the sum of the squares of the lengths of the sides of a right triangle is equal to the square of the length of the hypotenuse. Distance Formula- The formula , which is used to find the distance between two points (x1, y1) and (x2, y2).
17: Distance Formula--------> Pythagorean Theorem-->
18: Definition: Congruent Triangle- Triangles are congruent when all corresponding sides and interior angles are congruent. The triangles will have the same shape and size, but one may be a mirror image of the other. Real World Relation: A Christmas tree is a congruent triangle.
20: Definition: Polygons- A plane figure with at least three straight sides and angles, and typically five or more. Parallelograms- A four-sided plane rectilinear figure with opposite sides parallel. Rhombus-A parallelogram with opposite equal acute and obtuse angles and four equal sides. Any parallelogram with equal sides. Rectangles- A plane figure with four straight sides and four right angles, esp. one with unequal adjacent sides, in contrast to a square. Square- A plane figure with four equal straight sides and four right angles. Real World Relation: Stop signs
22: These 3 pictures (very blurry) are the Geometric Terms. The left column is the shape, middle column is the term, and the right column is the definition.