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Geometry Project

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Geometry Project - Page Text Content

BC: Thank you for reading Geometry Through The Semester by Emma Hessock! I hope you enjoyed!!!

FC: By: Emma Hessock 1st Period 12/13/13 | Geometry Through the Semester

1: Table of Contents | Page 12-3: Geometry Basics Page 4-5: Angles & their Measures Page 6-7: Angle and Segment Bisectors Page 8-9: Complementary, Supplementary, and Vertical Angles Page 10-11: Parallel Lines & All of the Angles formed by Transversals Page 12-13: Perpendicular Lines Page 14-15: Triangles Page 16-17: Pythagorean Theorem and Distance Formula Page 18-19: Congruent Triangles Page 20-21: Polygons

2: Geometry Basics | Point- no dimension, represented by a small dot | Line- has one dimension and extends without an end in two directions, represented by a line with arrowheads on the ends. | Plane- two dimensions, is represented by a shape that looks like a floor or wall

4: Angles & Their Measures | Angle- two rays that have the same endpoint | Angles are classified as acute, right, obtuse, or straight | The measure of an angle is written in units called degrees. | Acute- measure between 0 and 90 degrees Right- measure is 90 degrees Obtuse- measure is between 90 and 180 degrees | Straight- measure is 180 degrees

5: Figure 1- obtuse Figure 2- right Figure 3- acute Figure 4- straight

6: Angle & Segment Bisectors | Segment Bisector- a segment, ray, line or plane that intersects a segment at its midpoint Midpoint- the point on the segment that divides it into two congruent segments Bisect- to divide a segment into two congruent segments Angle Bisector- a ray that divides an angle into two angles that are congruent

7: Bisector Angle Bisector | <------ Midpoint

8: Complementary, Supplementary, and Vertical Angles | Complementary Angles- the sum of two angles measures equal 90 degrees Supplementary Angles- the sum of two angles measures equal 180 degrees Adjacent Angles- two angles share a common vertex and side, but no common interior points Vertical Angles- two angles that are not adjacent thats sides are formed by two intersecting lines

9: Vertical Angles | Supplementary Angles | Complementary Angles

10: Parallel Lines & Angles Formed by Transversals | Parallel Lines- two lines that will never intersect Transversal- a line that intersects two or more coplanar lines at different points Corresponding Angles- two angles that occupy corresponding positions Alternate Interior Angles- two angles that lie between the two lines on the opposite sides 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.

11: Corresponding- a & e, b & f, c & g, d & h Alternate Interior- d & e, c & f Alternate Exterior- b & g, a & h Same-side Interior- c & e, d & f

12: Perpendicular Lines | Perpendicular Lines- two lines that intersect to form a right angle

14: Triangles | Equilateral Triangle- three congruent sides Isosceles Triangle- two congruent sides Scalene Triangle- no congruent sides | Equiangular Triangle- three congruent angles Acute Triangle- three acute angles Right Triangle- one right angle | Triangle- a three sided figure Types

16: Pythagorean Theorem & Distance Formula | Legs- the sides that form a right angle in a right triangle Hypotenuse- the side opposite of the right angle Pythagorean Theorem- Distance Formula

17: Pythagorean Theorem | Distance Formula

18: Congruent Triangles | Congruent Triangles- when all parts of a triangle are corresponding | Proving Triangles are Congruent SSS- when three sides of the triangles are congruent to SAS- when a side, angle, and another side are congruent ASA- when an angle, side, and another angle are congruent AAS- when an angle, angle, and side are congruent HL- when the hypotenuse and a leg are congruent, only works with right triangles

20: Polygons | Polygon- a plane figure that is formed by three or more sides Diagonal- a segment that joins two nonconsecutive vertices of a polygon Quadrilateral- a polygon with 4 sides Parallelogram- a quadrilateral with both pairs of opposite sides parallel

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  • By: Emma H.
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  • Title: Geometry Project
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  • Published: almost 6 years ago