S: Geometry Scrapbook
BC: The End By Trystan Dessert
FC: What a beautiful view! | Geometry Scrapbook | 3rd Period 12/12/11 By: Trystan Dessert
1: CAMPING | Table of Contents | pg. 1-2 Chapter 1 Geometry Basics pg. 3-4 Chapter 1 Angles and Their measures pg. 5-6 Chapter 2 Angles and Segment Bisectors pg. 7-8 Chapter 2 Complementary, supplementary and vertical angles pg. 9-10 Chapter 3 Parallel lines and Angles Formed by transversal's pg. 11-12 Chapter 3 perpendicular Lines pg. 13-14 Chapter 4 Triangles pg. 15-16 Chapter 4 Pythagorean Theorem and Distance Formula pg. 17-18 Chapter 5 Congruent triangles pg. 19-20 Chapter 6 Polygons pg. 21-22 Extra Credit
2: Chapter 1Geometry basics | Point- has no dimension. It represents a small dot. | Line- Has one dimension. It extends without end in two directions. It is represented by a line with two arrow heads
3: Intersection- two or more figures of the point or points that the figure has in common .
4: Chapter 1 Angles and Their Measures | Obtuse- an angle that is greater than 90 but less than 180. | Right Angle- an angle that is 90 exactly.
5: Acute- an angle that is less than 90. | Straight Angle- an angle that is 180 exactly.
6: Chapter 2 Angle and Segment Bisectors | Angle Bisector- is a ray that divides an angle into two equal parts.
7: Segment Bisector- is a line or a ray or a segment that divides a line segment into two equal parts.
8: Chapter 2 Complementary, Supplementary and Vertical Angles | Complementary Angles-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. Examples: 60 and 30 are complementary angles. 5 and 85 are complementary angles. | Vertical Angles- Vertical angles are the angles opposite each other when two lines cross. Example, a and b are vertical angles, and they are equal.
9: SupplementaryAngles- Two angles are supplementary if they add up to 180 degrees.They don't have to be together to be supplementary. Just so long as the total is 180 degrees. Examples: 60 and 120 are supplementary angles. 93 and 87 are supplementary angles.
10: Chapter 3 Parallel Lines and Angles Formed by Transversal's | Parallel lines- Lines are parallel if they are always the same distance apart (called "equidistant"), and will never meet. (They also point in the same direction).
11: Transversal- A line that crosses at least two other lines.
12: Chapter 3 Perpendicular Lines | Perpendicular Lines- Lines that are at right angles (90) to each other.
14: Chapter 4 Triangles | Isosceles- At least 2 congruent sides. The measurement is that it has no equal sides an no equal angles. | Obtuse Triangle- 1 Obtuse angle. The measurement is that it has an angle more than 90 Degrees. | Acute Triangle- 3 acute angles. The measurement is that all angles are under 90 Degrees.
15: Right Triangle- 1 right angle. The measurement is that it has a Right angle that is (90 Degrees). | Scalene- No congruent sides. The measurement is that it has two equal sides an two equal angles. | Equilateral Triangle- 3 congruent sides. The measurement is that it has three equal sides and three equal angles that is always 60 Degrees. | Equiangular Triangle- 3 congruent sides. The measurement is that it has three equal sides and three equal angles that is always 60 Degrees.
16: Chapter 4 Pythagorean Theorem and Distance Formula | Pythagorean Theorem- In a right angled triangle the square of the long side (the "hypotenuse") is equal to the sum of the squares of the other two sides. | It is stated in this formula: a2 + b2 = c2
18: Chapter 5 Congruent Triangles | Congruent Triangles- Two figures are congruent if they have the same shape and size. More formally, two sets of points are called congruent if, and only if, one can be transformed into the other by an isometric, i.e., a combination of translations, rotations and reflections. | SSS- If three sides of one triangle are congruent to three sides of a second triangle, then the two triangles are congruent
19: SAS SSS AAS ASA HL | ASA- If two angles and the included side of one triangle are congruent to two angles and the included side of a second triangle, then the two triangles are congruent. | AAS- If two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of the second triangle, then the two triangles are congruent. | 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. | SAS- If two sides and the included angle of one triangle are congruent to two sides and the included angle of a second triangle, then the two triangles are congruent.
20: Chapter 6 Polygons | Polygons- A plane figure with at least three straight sides and angles, and typically five or more. | Square-A plane figure with four equal straight sides and four right angles.
21: 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. | Parallelogram- A four-sided plane rectilinear figure with opposite sides parallel.
22: Extra Credit Terms | Conjecture- is an unproven statement that is based on a pattern or observation. | Inductive reasoning- looking for patterns and making conjectures is part. | Sides- an upright or sloping surface of a structure or object that is not the top or bottom and generally not the front or back
23: Vertex- each angular point of a polygon, polyhedron, or other figure. | Diagonal- a straight line joining two opposite corners of a square, rectangle, or other straight-sided shape.