FC: Cheyenne Donahue 3rd period December 12th 2011 | Geometry Scrapbook
1: Table of contents | * Geometry Basics...pg.2-3 *Angles and their measures...pg.4-5 *Angles and Segment Bisectors...pg.6-7 *Complementary, Supplementary and Vertical...pg.8-9 *Parallel Lines and Angles formed by transversal...pg.10-11 *Perpendicular lines...pg.12-13 *Triangles...pg.14-15 *Pythagorean...pg.16-17 *Congruent triangles...pg.18-19 *Polygons...pg.20-21
2: Chapter 1: | Geometry basics: | A real life example of a point is space and NASCA graphs. They put points of lactations to know where things are.
3: Ray- consists of the endpoints A and all points on AB that lie on the same side of A as B | Point- has no dimension | Plane- has two dimension
4: Angles and their measures: | acute angle- measures between 0 and 90 degree. | Right angle- measures 90 degree.
5: obtuse angle- measure between 90-180 degree | I a real life example, people who build bridges need to know there angles so that the bridge is stable.
6: Chapter two: Angle and Segment Bisectors: | People shoot guns and they have to shoot for the midpoint of the target.
7: Midpoint- a segment is the point on the segment that divided it into two congruent segments | Bisect- a segment means to divide the segment into two congruent segment. | Segment bisector- is a segment, ray, line, or plane that intersects a segment at its midpoint
8: Complementary, supplementary and Vertical Angles | When you makes bridges you need to know the angles of everything so it will stay up.
9: Complementary angles- if the sum of their measures is 90. | Supplementary angles- if the sum of their measures is 180 | Adjacent angles- if they share common vertex and side but have no common interior points
10: Chapter 3: Parallel Lines and Angles formed by transversal's | My real world example of these angles are windows because of the lines.
11: Alternate interior angles- a lie between the two lines on the opposite sides of the transversal | alternate exterior angles- lies outside the two lines on the opposite sides of the transversal | Same-side interior angles- a lie between the two lines on the same side of the transversal
12: Perpendicular Lines | This is a real life example of construction
13: Construction- is a geometric drawing that uses a limited set of tools. | Parallel Postulate- if there is a line and a point not on the line, then there is exactly one line through the point parallel to the given line | Perpendicular Postulate- if there is a line and a point to on the line, then there is exactly one line through the point perpendicular to the given line.
14: Chapter 4 Triangles | This is the real life examples of triangles. This is a building fun of triangles
15: EQUILARER TRIANGLE - three congruent angles. | ISOSCELES TRIANGLE- at least two congruent sides | SCALENE TRIANGLE- no congruent sides
16: Pythagorean Theorem and distance Formula | This is my example of Pythagorean theorem because builders have to know how big the angles are and they figure this out by using Pythagorean theorem
17: Leg- the congruent sides of an isosceles triangle | Hypotenuse- the side opposite the right angle. | Pythagorean Theorem- in a tight triangle, the square if the length off the hypotenuse is equal to the sum of the squares of the lengths of the legs.
18: Chapter 5: Congruent Triangles | My example is this building right here because it a many angles that can be named like SSS,ASA, SAS,AAS.
19: hypotenuse leg- if the hypotenuse and a leg of a right triangle are congruent to the hypotenuse and a leg of a secong right triangle, then the two triangles are congruent. | SSS Congruence Postulate- if three dies of one triangle are congruent to three sides of a second triangles then the two triangles are congruent. | SAS Congruence Postulate- is two sides and the included angle of one triangle are congruent to two sides and the on included angle of a second triangle the two triangles are congruent. | ASA Congruence Postulate- if two sides and the included side of one triangle are congruent to two angles and the included side of the second triangle the two triangles are congruent. | AAS Congruence Postulate- if two anlges and the included side of one triangle are congruent to two angles and the included side of a second trianglem the two trianfles are congruent.
20: Chapter 6: Polygons | My real life example of squares are this game board magic squares.
21: Parallelograms- A four-sides plane rectilinear figure with opposite sides parallel. | Rhombuses- a parallelogram with four congruent sides | Rectangles- a parallelogram with four right angles | Squares- a parallelogram with four congruent side and four angles