BC: The End
FC: 2012 | Geometry By:Cheyenne 3rd 12/12/12
1: Table Of Contents: Chapter 1: (a)Geometry basics (b)Angles and their measures Chapter 2: (a)Angle and Segment bisectors (b)Complementary,Supplementary,and Vertical Angles Chapter 3: (a)Parallel lines and angels formed by transversals (b)Perpendicular lines Chapter 4: (a)Triangles (b)Pythagorean Theorem and Distance Formula Chapter 5: (a)Congruent Triangles Chapter 6: (a)Polygons
4: Angles And Their Measures | Obtuse Angle: An angle in between 90 and 180 degrees | ............................................
5: Acute Angle: An angle less then 90 degrees but more then 0 degrees | Right Angle: An angle that is exactly 90 degrees
6: Angle and Segment bisectors | An angle bisector is a line which cuts an angle into two equal halves | Real World Example:
7: A segment bisector is a line or ray or a segment that divides a line segment into two equal parts. | Real World Example:
8: CC | Complementary Angles: Two angles are complementary if they both add up to 90 degrees.
9: Supplementary Angles: Two angles are supplementary if they add up to 180 degrees. | Vertical Angles: Angles opposite of each other when two lines cross.
10: If you have two parallel lines then the all the angles are congruent or add up to 180 degrees. The angles of a transversal include : -Corresponding -Alternate Interior -Same Side Interior -Alternate Exterior
11: Easter Brunch at Grandmas house. The kids had a great time coloring eggs with Grandma Mary. Kailey found the most eggs and Amy came in second with only 1 less egg than Kailey. It was a close one
12: A line is perpendicular to another if it meets or crosses it at a rIght angles (90 degrees)
14: Types Of Triangles: Isosceles: 2 equal sides Scalene: No 2 sides are of equal length Right: Has a right angle | Isosceles | Scalene
15: Right | Isosceles | Scalene | Right
16: Pythagorean Theorem | The Pythagorean theorem is a theorem attributed to Pythagoras that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides.
17: Distance Formula | The distance formula can be obtained by creating a triangle using the Pythagorean Theorem to find the length of the hypotenuse. The hypotenuse of the triangle will be the distance between two points.
18: Congruent Triangles: Triangles with the same size and the same shape are congruent triangles. If two triangles are congruent, then their corresponding parts are congruent. | 5 ways to prove congruency: - SSS (side side side) -SAS (side, angle, side) -ASA (angle, side, angle) -AAS (angle, angle, side) -HL (hypotenuse leg)
20: Polygons: a plane or figure with at least three straight sides and angles, usually 5 or more | Parallelograms: a four sided plane rectilinear figure with opposite sides parallel Rhombus: Any parallelogram with equal sides Rectangle: A plane figure with four straight sides and four right angles Square: A plane figure with four equal straight sides and four right angles
21: Parallelogram | Rhombus | Square | "Rectangle