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# Kilgore - Honors Geometry Project

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### Kilgore - Honors Geometry Project - Page Text Content

BC: The End

FC: Honor Geometry Project by Justin Kilgore 2nd Period December 10, 2011

1: Table of Content Points, Lines, and Planes (p. 2 -3) Angles and Measures (p. 4-5) Angle Bisectors (p. 6-7) Comp., Supp., and Vertical Angles (p. 8-9) Parallel Lines and Transversals (p. 10-11) Perpendicular Lines (p. 12 -13) Triangles (p. 14 -15) Pythagorean Theorem; Distance Formula (p. 16-17) Congruent Triangles (p. 18-19) Polygons (p. 20-21)

2: Geometry depends on a common understanding of terms such as point, line, and plane. Because these terms cannot be mathematically defined using other known words, they are called undefined terms. | A point has no dimension. It is represented by a small dot. A line has one dimension. It extends without end in two directions. It is represented by a line with two arrow heads. A plane has two dimensions. It is represented by a shape that looks like a floor or a wall.

4: An angle consists of two rays that have the same endpoint. | The rays are the sides of an angle. The endpoint is the vertex of the angle. The measure of an angle is written in units called degrees.

6: An angle bisector is a ray that divides an angle into two angles that are congruent.

8: Two angles are complementary angles if the sum of their measures is 90 degrees. Each angle is the complement of the other. Two angles are supplementary angles if the sum of their measures is 180 degrees. Each angle is the supplement of the other. Two angles are vertical angles if they are not adjacent and their sides are formed by two intersecting lines.

10: Two lines are parallel lines if they lie on the same plane and do not intersect.

11: A transversal is a line that intersects two or more coplanar lines at different points.

12: Two lines are perpendicular lines if they intersect to form a right angle.

14: A triangle is a figure formed by three segments joining three noncollinear points. A triangle can be classified by its sides and by its angles.

15: All angle measures in a triangle add up to be 360 degrees.

16: Pythagorean Theorem

17: The distance formula gives the distance between two points in a coordinate plane.

18: Figures are congruent if all pairs of corresponding angles are congruent and all pairs of corresponding sides are congruent. | five ways to prove congruency: SSS, SAS, ASA, AAS, HL

20: A polygon is a plane figure that is formed by three or more segments called sides. Each side intersects exactly two other sides at each of its endpoints. Each endpoint is a vertex of the polygon.

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