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FC: Geometry Scrapbook | Taylor Treadway 3rd Period 12.12.11

1: Table of Contents | Basics..........................................................pg.2-3 Angles & their Measures.......................... ..pg.4-5 Angle and Seg. Bisectors............................pg.6-7 Comp., Supp., & Vertical Angles.................pg. 8-9 Parallel lines & Angles...............................pg.10-11 Perpendicular Lines...................................pg.12-13 Triangles & their Measures........................pg.14-15 Pythagorean Ther. & Distance Form. ......pg.16-17 Congruent Triangles..................................pg.18-19 Polygons.....................................................pg.20-21 Extra Credit.................................................pg.22-25

2: Point- has no dimension. It is represented by a small dot. | Angle- Consists of two rays that have the same endpoint the rays are the sides of the angle. The endpoint is the vertex of the angle | Segment- AB consists of the endpoints A and B, and all points on AB that are between A and B

3: Intersection- AB consists of the endpoints A and B, and all points on AB that are between A and B

4: "Friends are born, not made." ~Henry B. Adams | Angles and | Obtuse Angle- has measure between 90 degrees and 180 degrees. | Straight Angle- has a measure of 180 degrees.

5: "A friend is one who knows you and loves you just the same." ~Elbert Hubbard | Their Measures | Right Angle- Has a measure of 90 degrees. | Acute Angle- Has measure between 0 degrees and 90 degrees.

6: Segment Bisector- Is a segment, ray line, or plane that intersects a segment at its midpoint.

7: Angle Bisector- Is a ray that divides an angle into two congruent angles.

8: Supplementary Angles- If the sum of their measures is 180 degrees. Each angle is the supplement of the other. | Complementary Angles- if the sum of their measures is 90 degrees each angle is the complement of the other

9: Vertical Angles- If they are not adjacent and their sides are formed by two intersection lines.

10: Parallel Lines- Lie in the same plane and do not intersect. | Transversal- Is a line that intersects two or more coplanar lines at different points.

11: Corresponding Angles- If the occupy corresponding positions. | Alternate exterior Angles- f they lie outside the two line on the opposite sides of the transversal | Alternate Interior Angles- If they lie between the two lines on the opposite side of the transversal. | Same Side Interior Angles- If they lie between the two lines on the same side of the transversal.

12: Perpendicular Lines | Perpendicular Line- Intersect to form a right angle.

13: Skew Lines | Skew Lines- If they do not lie in the same plane.

14: Equiangular Triangle- Has three congruent angles. | Scalene Triangle- Has no congruent sides. | Isosceles Triangle- Has at least two congruent sides. | Equilateral Triangle- Has three congruent sides.

15: Triangle- Is a figure formed by three segments joining three non-collinear points.

16: Pythagorean Theorem- 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.

17: Distance Formula- If A (x,y) and B (x,y) are points in a coordinate plane, then the distance between A and B.

18: Congruent Triangles When all pairs of corresponding angles are congruent and all pairs of corresponding sides are congruent in two figures. | ASA- Angle Side Angle | AAS- Angle Angle Side

19: Hypotenuse Leg- To prove that right triangles are congruent | SSS- Side Side Side | SAS- Side Angle Side

20: Polygons- A plane figure that is formed by three or more segments called sides | Rhombus- Is a parallelogram with four congruent sides.

21: Parallelogram- If a quadrilateral is a parallelogram, then both pairs of opposite sides are parallel. | Square- Is a parallelogram with four congruent sides and four right angles. | Rectangle- Is a parallelogram with four right angles.

22: Vertex- The endpoint of each side | Diagonal- A segment that joins two nonconsecutive vertices of a polygon.

23: Trapezoid- Is a quadrilateral with exactly one pair of parallel sides. | Extra Credit

24: Leg- The nonparallel sides | Bases- The parallel sides

25: Mid-segment of a Trapezoid- is the segment that connects the midpoints of its legs.

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