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FC: Geometry | John Robinson. 2nd Period. 11/14/2012

1: TABLE OF CONTENTS | Page Title 1 Table of Contents 2/3 Basics of Geometry 4/5 Angles and Their Measures 6/7 Angle and Segment Bisectors 8/9 Complementary, Supplementary and Vertical Angles 10/11 Parallel Lines and About Transversal's 12/13 Perpendicular Lines 14/15 Triangles 16/17 Pythagorean Theorem and Distance Formula 18/19 Congruent Triangles 20/21 Polygons

2: Definitions A point has no dimension and is represented by a small dot. A line has one dimension and it extends without end in two directions which are represented by two arrowheads. The intersection of two or more figures is the point or points that the figures have in common. | Point and Intersection | Line

3: Intersection | Lines on a Football Field | Point

4: Angles | Acute- angle with a measure under 90 degrees(

5: Right Angle, Acute Angle, Obtuse, and Straight Angle.

6: Segment Bisector- A segment, ray, line, or plane that intersects a segment at its midpoint(divides it into two congruent segments) Angle Bisector- a ray that divides an angle into two adjacent angles that are congruent | Segment Bisector

7: Angle Bisector | Angle Bisector | Segment Bisector

8: Complementary- if the sum of two angles measure is 90 degrees Supplementary- if the sum two angles measure is 180 degrees Vertical- If two angles sides form two pairs of opposite rays | Complementary Angles | Supplementary Angles

9: Vertical Angles | Vertical Angles | Complementary and Supplementary Angles

10: Parallel Lines- two lines that do no lie in the same plane and do not intersect ever Corresponding Angles- two angles that occupy corresponding positions Alternate Interior Angles- two angles that lie between the two lines of the opposite side of the transversal Alternate Exterior Angles- two angles that lie outside the two lines on the opposite sides of the transversal Same Side Interior Angles- two angles that lie between the two lines on the same side of the transversal | Parallel Lines- AB and CD Corresponding Angles- 3 and 7 Alternate Interior- 4 and 5 Alternate Exterior- 1 and 8 Same Side Interior- 3 and 5

11: Parallel Lines | Corresponding, alternate interior, alternate exterior, and same side interior angles

12: Perpendicular Lines- lines that intersect to form a right angle - to find out if lines are perpendicular on a plane, put X1 and X2 over Y1 and Y2 and subtract X1 from X2 and vice versa. Then simplify the fraction.

14: Triangle- a figure formed by three segments joining three non-collinear points(classified by sides and angles) Equilateral Triangle- triangle with three congruent sides Isosceles Triangle- triangle with two congruent sides Scalene Triangle- triangle with no congruent sides Acute Triangle- triangle with three angles below 90 Equiangular Triangle- triangle with three congruent angles Right Triangle- triangle with one right angle Obtuse Triangle- triangle with one angle above 90

15: Isosceles and Scalene

16: Pythagorean Theorem- in a right triangle, the square length of the hypotenuse is equal to the sum of the squares of the lengths of the legs Distance Formula- formula used to find distance of the triangle legs | Pythagorean Theorem

17: Distance Formula | Pythagorean Theorem

18: Congruent Triangle- a triangle that three sides and three angles of one triangle have the same measurements as three sides and three angles of another triangle | 5 Ways to Prove Congruency SAS- a side, an angle, and another side are shown as congruent ASA- an angle, a side, and an angle are shown as congruent AAS- two angles and a side are shown as congruent SSS- three sides are shown as congruent HL- hypotenuse leg and one leg of right triangle are congruent

20: Polygons Parallelogram- quadrilateral with both pairs of opposite sides parallel Rhombus- a parallelogram with four congruent sides Square- a parallelogram with four congruent sides and four right angles Rectangle- a parallelogram with four right angles | Square | Rhombus and Parallelogram

21: Rectangle | Parallelogram

22: Vertex- the endpoint of each side of a polygon Diagonal- a segment that joins two non consecutive vertices of a polygon Pentagon- parallelogram with five sides Hexagon- parallelogram with 6 sides Heptagon- parallelogram with 7 sides

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