BC: The End
FC: Geometry | Austin Fisher 2rd Period 12/6/2014
1: Table of Contents | Page 1: Table of Contents Page 2 & 3: Topics of 1.1-1.5 Page 4 & 5: Angles and their measures Page 6 & 7: Angle and segment bisectors Page 8 & 9: Complementary, Supplementary, and Vertical Angles Page 10 & 11: Parallel lines, angles formed by transversal (Corresponding angles,alternate interior angles, alternate exterior angles, same-side interior angles.) Page 12 & 13: Perpendicular lines Page 14 & 15: Triangles and angle measures Page 16 & 17: Pythagorean Theorem and Distance Formula page 18 & 19: Congruent Triangles page 20 & 21: Polygons
2: A point has no dimension. It is represented by a small dot. | A line has one dimension. It extends without end in two directions. It is represented by a line with two arrowheads. | Topics of 1.1-1.5
3: A plane has two dimensions. It is represented by a shape that looks like a floor or wall. You have to imagine that it extends without end. | In real life, a checker board, or chess board, has many different planes on it. The point of planes on it is to move from one spot to another.
4: An obtuse angle is an angle that is bigger then 90 degrees. | An acute angle is an angle that is less then 90 degrees. | Angles and Their Measures
5: A right angle is an angle that is exactly 90 degrees. | A straight angle is an angle that is 180 degrees.
6: A segment bisector is a segment, ray, line, or plane that intersects a segment at its midpoint. | Angle and Segment Bisectors
7: An angle bisector is a ray that divides an angle into two angles that are congruent. | A real life example of an angle bisector would be a clock.
8: Two angles are complementary angles if the sum of their measures is 90 degrees. | Two angles are supplementary angles if the sum of their measures is 180 degrees. | S U p p l e m e n t a r y
9: Two angles are vertical angles if they are adjacent. | A vertical angle in real life would be windows next to each other.
10: Two lines are parallel lines if they lie in the same plane and do not intersect. | A real life example of parallel lines are train tracks. | Parallel Lines and Angles formed by the Transversal
11: A transversal is a line that intersects two or more coplanar lines at different points. For instance, the red line crossing the blue lines is considered a transversal.
12: Two lines are perpendicular lines if they intersect to form a right angle. | Perpendicular Lines
13: A real life example would be a baseball field. The points are bases and the lines would be the perpendicular lines. The lines intersect to form a right angle.
14: A triangle is a figure by three segments joining three non collinear points. | A triangle can be classified by it's sides and by its angles. | A real life example would be a yield sign. | Triangles and angle measurements
15: The goal of numbers in triangles is to find the angle measures in the triangles. | A real life example of an angle measurement is a baseball field. All of the bases are 90 feet away. Making it equal to 180. | For this triangle to be equal, it must be 180 degrees. So if you add 82 and 43 you get 125. Then you subtract 180 and 125 and get 55. 55 would be put into the blank spot.
16: Pythagorean Theorem and the Distance Formula | 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 real life example of the Pythagorean Theorem is a football play. If you have one receiver running straight and one running at an angle, it makes a Pythagorean Theorem. | If the square angle is 90 degrees, then c squared= a squared+ b squared
17: The distance formula is solved on a graph. | The distance formula is .... | A real life example is the United States. You can use the distance formula to determine the distance from Texas to California.
18: Congruent Triangles | Figures are congruent if all pairs of corresponding angles are congruent and all pairs of corresponding sides are congruent. | The two triangles above are considered congruent. The two triangles next to this are not congruent.
19: A real life example of a congruent triangle is a pool rack.
20: Polygons | A polygon is a plane figure that is formed by three or more segments called sides. Each side intersects exactly two other sides at each of its endpoints. Each endpoint is called a vertex of the polygon | There are different names for polygons. 3 sided figure- Triangle 4 sided figure- Quadrilateral 5 sided figure- Pentagon 6 sided figure- Hexagon 7 sided figure- Heptagon 8 sided figure- Octagon 9 sided figure- Nonagon 10 sided figure- Decagon 11 sided figure- Hendecagon | 12 sided figure- Dodocagon 46 sided figure- tetracontakaihexagon
21: A real life example of a polygon is a kangaroo crossing sign. It has 4 sides making it a quadrilateral. | Another real life example would be a stop sign. It would be considered an octagon.