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FC: Geometry Scrapbook Project | By: Suraj Prabhu | Period 3 | Date: 12/10/11
1: Table of Contents | Page 2-3 = Chapter 1 Page 3-4 = Chapter 2 Page 4-5 = Chapter 2 Page 6-7= Chapter 3 Page 8-9 = Chapter 4 Page 10-11= Chapter 5 Page 12-13 = Chapter 6 Page 14-15= Chapter 7 Page 16-17= Chapter 8 Page 18-19 = Chapter 9 Page 20-21 = Chapter 10
2: Section 1.1-1.5 Definitions: | Collinear Points: points that lie on the same line. Coplanar Points: points that lie on the same plane. Coplanar Lines: Lines that lie on the same plane.
3: Real World Relation | = Collinear Points | = Coplanar Points | = Coplanar Lines
4: Angles... | Angle: consists of two rays that have the same endpoint. | Obtuse Angle: an angle with measure between 90 degrees and 180 degrees. | Acute Angle: an angle with measure between 0 degrees and 90 degrees. | Right Angle: an angle with measure 90 degrees. | Straight Angle: an angle with measure 180 degrees.
5: and Their Real World Relation | = Acute Angle | = Obtuse Angle | = Right Angle | = Straight Angle
6: Definitions of Bisectors | Angle Bisector: a ray that divides an angle into two angles that are congruent. | Segment Bisector: a segment, ray, line, or plane that intersects a segment at its midpoint. | 2.1-2.2
7: Real World Relation | = Angle Bisector | = Segment Bisector
8: 2.3-2.4 | Definitions | Complementary Angles: Two angles whose measures have a sum of 90 degrees. | Supplementary Angles: Two angles whose measures have a sum of 180 degrees. | Vertical Angles: Two angles that are not adjacent and their sides are formed by two intersecting lines.
9: Real-World Relations (Above) | = Vertical Angles | = Supplementary Angles | = Complementary Angles
10: Definitions | Parallel Lines: Two lines that lie on the same plane and do not intersect. | Corresponding Angles: Two angles that occupy corresponding positions. | Alternate Interior Angles: Two angles that lie between the two lines on the opposite sides of the transversal.
11: Alternate Exterior Angles: Two angles that lie outside the two lines on the opposite sides of the transversal. | Same-Side Interior Angles: Two angles that lie between the two lines on the same side of the transversal. | Definitions (Continued) | Real World Relations | = Parallel Lines
12: Definitions | Perpendicular Lines: Two lines that intersect to form a right angle.
13: Real World Relations
14: Definitions | Triangle: a plane figure formed by three segments joining three noncollinear points. | Equiangular Triangle: triangle that has three congruent angles. | Acute Triangle: triangle that has three acute angles. | Right Triangle: triangle that has one right angle. | Obtuse Triangle: triangle that has one obtuse angle. | Angle Measures: Angle Measures are measurements of angles.
15: Real World Relations | Triangle
16: Definitions | The Pythagorean Theorem: In a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs. | a squared +b squared= c squared
17: The Distance Formula: The distance formula gives the distance between two points in a coordinate plane. | If A (x1, y1) and B (x2, y2) are points in a coordinate plane, then the distance between A and B is: the square root of (x2-x1) squared + (y2-y1) squared. | Real World Relation
18: Congruent Triangles: Figures that have all the pairs of corresponding angles and all the pairs of corresponding sides congruent are congruent triangles. There are five ways to prove congruency (below). | Definitions | SSS-All sides of one triangle equal all the sides of another. SAS-Two sides are congruent to two sides of the other triangle. One angle is congruent to another in the other triangle and is situated in between the two congruent sides. ASA-Two angles are congruent to two angles in another triangle and the congruent sides are located in between the angles. AAS- Two angles are congruent to two angles in another triangle. A side is congruent to a side in the other triangle but is not located in between the two angles. HL-If the hypotenuse and a leg of a right triangle are congruent to the hypotenuse and a leg of a second right triangle, then the two triangles are congruent.
19: = AAA | = SSS | = SAS | = ASA | = HL | Real World Relation | Congruent Triangles | SSS
20: Definitions | Polygon: a plane figure that is formed by three or more segments called sides. | Parallelogram: a quadrilateral with both pairs of opposite sides parallel. Rhombus: a parallelogram with four congruent sides. Rectangle: a parallelogram with four right angles. Square: a parallelogram with four congruent sides and four right angles.
21: = Polygon | = Square | = Parallelogram | = Rhombus | = Rectangle | Real World Relation