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FC: High School Geometry | Bailey Atkins 2nd Period 11-26-12

1: Table of Contents | Geometry Basics................................page 2-3 Angles and Measures........................ page 4-5 Angle and Segment Bisectors............page 6-7 Comp and Supp Angles ....................page 8-9 Parallel lines and Angles...................page 10-11 Perpendicular Lines..........................page 12-13 Triangles ...........................................page 14-15 Pythagorean Theorem ......................page 16-17 Congruent Triangles.........................page 18-19 Polygons............................................page 20-21

2: Page 2 | Collinear Points Are points that lie on the same plane. Coplanar Points are points that lie on the same plane. Coplanar Lines are lines that lie on the same plane. | In the picture above, there is an example of Coplanar Lines.

3: This is an example of Collinear Points.

4: Angles | 90 degrees | Obtuse Angle | Page 4

5: This room shows and example of a 90 degree angle. | The space between two intersecting lines or surfaces at or close to the point where they meet.

6: Page 6 | The definition of a Segment Bisector is a line or line segment that intersects the segment at its midpoint.

7: Angle Bisectors | Segment Bisectors | Page 7 | This clock and these mushrooms are some examples of angle bisectors in the real world. | The definition of an Angle Bisector is a line passing through the vertex of the angle that cuts it into two equal angles.

8: A Complementary Angle is any two angle whose sum equals 90 degrees. | Page 8

9: Page 9 | A Supplementary Angle is any two angles whose sum is 180 degrees | A Vertical Angle is either of two equal and opposite angles formed by the intersection of two straight lines.

10: Angles Formed by a Transversal: Corresponding Angles Alternate Exterior Alternate Interior Same side Interior Vertical Angles | <1 , <2 , <3 , <4 , <5 , <6 , <7 , and <8 are examples of Angles formed by Transversal's.

11: Page 11 | Parallel Lines lie in the same plane and they never intersect each other. | In this photo line "r" and line "s" are examples of parallel lines.

12: All of the above pictures are examples of Perpendicular Lines. | Perpendicular Lines are two lines that intersect to form right angles.

13: Perpendicular Lines | 90 Degrees

14: Angle Measure: an angle is the figure formed by two rays sharing a common endpoint, called the vertex of the angle | Page 14

15: Types of Triangles: Equilateral Scalene Isosceles | A Triangle is a plane figure with three straight sides and three angles

16: A2 + B2 = C2 | Pythagorean Theorem is the theorem that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides.

17: The Distance Formula to the Pythagorean Theorem is a2 + b2 = c2. | Page 17

18: The 5 Ways to Prove a Triangle is Congruent are: ASA, SAS, HL, SSS, and AAS

19: Triangles are congruent when all corresponding sides and interior angles are congruent.

20: A plane figure with at least three straight sides and angles, and typically four or more. | A rhombus is a parallelogram with opposite equal acute and obtuse angles and four equal sides. | A rectangle is a plane figure with four straight sides and four right angles, esp. one with unequal adjacent sides, in contrast to a square.

21: A plane figure with four equal straight sides and four right angles. | A Triangle is plane figure with three straight sides and three angles. A Trapezoid is a quadrilateral with only one pair of parallel sides. | Page 21

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