S: Geometry for Dummies
BC: I Geometry | This was fun!! | Merry Christmas Mrs. Peay!
FC: McKenzie Maynard 2nd period December 12, 2012 | Santa's Geometry Book for Dummies
1: Table of Contents | Page 1: Table of Contents Page 2-3: Geometry Basics Page 4-5: Classification of Angles and Measures Page 6-7: Angle and Segment Bisectors Page 8-9: Complementary, Supplementary, and Vertical Angles Page 10-11: Parallel Lines and Angles formed by Transversal Page 12-13: Perpendicular Lines Page 14-15: Triangles Page 16-17: Pythagorean Theorem and Distance Formula Page 18-19: Congruent Triangles Page 20-21: Polygons Page 22-23: Geometric Terms
2: The intersection of two or more figures is the point or points that the figures have in common. | Collinear points are points that lay on the same line.
3: A plane is an undefined term that has two dimensions. | A pool table is an example of a plane.
4: Straight Angles have measures of 180 degrees. | Obtuse Angles have a measure between 90 degrees and 180 degrees. | Acute Angles have a measure between 0 degrees and 90 degrees. Right Angles have a measure of 90 degrees.
5: A clock's hands are an example of an angle. They can be Straight, Obtuse, Acute, or a Right Angle. | An angle consists of two rays that have the same end point. The rays are the sides of the angle, and the endpoint is the vertex of the angle.
6: Angle Bisectors are rays that divide an angle into two angles that are congruent.
7: Segment Bisectors are a segment, ray, line, or plane that intersects a segment at its midpoint.
8: Supplementary Angles are two angles with the sum of 180 degrees | Complementary Angles are two angles with the sum of 90 degrees
9: Vertical Angles are two angles that are not adjacent, and whose sides are formed by two intersection lines.
10: Parallel Lines are two lines on the same plane, but they do not intersect one another | Railroad tracks are an example of parallel lines
11: Corresponding Angles are two angles that have corresponding positions. | Alternate Exterior Angles are two angles that lie outside the two lines on the opposite sides of the transversal. | Same Side Interior Angles are two angles that lie between the two lines on the same side of the transversal. | Alternate Interior Angles are two angles that lie between the two lines on the opposite sides of the transversal.
12: Perpendicular Lines are lines that intersect to form right angles.
14: Right angle | Equiangular | Isosceles | Acute | Scalene | Equilateral
15: Triangles are figures formed by 3 segments joining 3 non collinear points. | 1. Right triangles have one right angle. 2. Isosceles triangles have two congruent sides. 3. Equilateral triangles have three congruent sides. 4. Acute triangles have acute angles. 5. Obtuse triangles have one obtuse angle. 6. Equiangular triangles have angles that are all congruent. 7. Scalene triangles have no congruent sides.
16: The Pythagorean theorem is the sum of the length of the legs squared is equal to the hypotenuse squared. | Hypotenuse is the side opposite of the right angle. Legs are the sides that form the right angle in a right triangle.
17: Distance formula gives distance between two points in a coordinate plane
18: Congruent triangles are figures that have corresponding sides and/or angles. | ASA | Angle Side Angle is if 2 angles and an included side are congruent to another triangles 2 angles and included side. | Angle Angle Side is if 2 different triangles both have 2 angles and a non- included side. | AAS
19: SAS | Side Angle Side is if one triangle has 2 sides and an included angle that are congruent to another triangles 2 sides and included angle. | SSS | Side Side Side is if 3 sides in one triangle are congruent to 3 sides in another triangle. | HL | Hypotenuse Leg is if 2 right angles both have a congruent leg and hypotenuse.
20: A Polygon is a plane figure that is formed by three or more segments called sides. | A Rhombus is a parallelogram with four congruent sides. | Rectangle | Rhombus | A Rectangle is a parallelogram with four right sides.
21: Square | A Square is a parallelogram with four congruent sides and four right angles. | a chess game board is an example of lots of squares!
22: Length is a measured distance. | Distance is the absolute value of the difference between two coordinates. | A vertex is the end point of an angle. | vertex
23: Coplanar points are points that lie on the same plane. | Coplanar lines are lines that lie on the same plane.