BC: Geometry Basics.
FC: Geometry Throughout the Year Bailey Foote 2nd Period December 12, 2012
1: Table Of Contents. | Points, Lines, and Planes 2 Angles and their Measures 4 Angle and segment Bisectors 6 Complementary, supplementary, and Vertical angles 8 Parallel Lines and angles formed by transversal 10 Perpendicular Lines 12 Triangle and Angle Measures 14 Pythagorean Theorem and Distance Formula 16 5 ways to prove congruency 18 Polygons 20
2: Points, Lines, and Planes | A point is the most fundamental object in geometry. It is represented by a dot and named by a capital letter. A line is an endless straight line.
3: A plane is defined by three points, each of which forms a line with the other two points within the plane.
4: Angles and their measures | There are many different types of angles. there are obtuse angles, acute angles, right angles, complementary angles, and supplementary angles. Obtuse angles are more than 90 degrees. acute angles are less than 90 degrees. right angles make an L shape and is exactly 90 degrees. complementary angles are tw0 or more angles that add up to be 90 degrees. supplementary angles are two or more angles that add up to be 180 degrees.
6: Angle and segment bisectors | An angle bisector is a ray that divides one angle into two smaller angles. A Segment bisector is a segment, ray, line, or plane that intersects a segment at its midpoint.
8: Complementary, supplementary, and vertical angles | Complementary angles are when all of the angles in a figure add up to be 90 degrees. Supplementary angles is when all of the angles in a figure add up to equal 180 degrees Vertical angles are two lines that intersect making two equal angles.
10: parallel lines and angles formed by transversals. | Two parallel lines are cut in half by a perpendicular line which makes the angles formed from that transversal.
12: Perpendicular lines | Perpendicular lines are formed when a horizontal line is overlapped by a vertical line. It makes right angles when it is placed on top with another line. It forms an L shape and can also be put over two parallel lines to make interior and exterior angles.
14: Triangle and angle measures. | A triangle's angles add up to be 180 degrees. All the angles in a triangle make the sum of 180 degrees. The sum makes it where the angles together are complementary.
16: Pythagorean Theorem and Distance Formula | In Pythagorean Theorem equals A squared plus B squared equals C squared. The distance formula is when you find your points plug them in to this formula and find the square root of the whole thing. (X2 - X1) 2 + (Y2-Y1) This is how you find the distance formula.
20: 5 ways to prove congruency. | The five ways to prove congruency are ASA, SSS, AAS, SAS, and HL. ASA stands for angle side angles and means two triangles where we have two angles that are congruent and the including side. SSS stands for side side side and means you have two triangles where all three sides are equal. AAS stands for angle angle side and means you have two triangles where we know that two angles and the included side are equal. SAS stands for side angle side and means that you have two triangles and we know that two sides and the including angle are equal. HL stands for hypotenuse leg and it means we have two right angled triangles with the same length of hypotenuse and the same length of one of the two legs.
22: Polygons. | Polygons are flat shapes consisting of straight lines that are joined to form a closed chain or circuit. Plane figure that is bounded by a closed path. A polygon can never be curved or rounded at an edge. Also a polygon is a finite number of straight line segments meaning it has to be a closed circuit, there can never be an opening or spot with no line.