- Or create your own photobook in seconds.
- Create now!

Hello, you either have JavaScript turned off or an old version of Adobe's Flash Player.
Get the latest Flash player.

FC: GEOMETRY | F O R | FRESHMEN | Shelby Lawless 2nd Period December 12, 2012

1: Table of Contents | Page 1: Table Of Contents Pages 2-3: Chapter One Basics Pages 4-5: Angles and Their Measures Pages 6-7: Angle and Segment Bisectors Pages 8-9: More About Angles Pages 10-11: Parallel Lines and Angles formed by transversals Pages 12-13: Perpendicular Lines Pages 14-15: Triangles Pages 16-17: Pythagorean Theorem and Distance Formula Pages 18-19: Congruent Triangles Pages 20-21: Polygons

2: Chapter One Basics | Patterns can be predicted. A conjecture is an unproven statement that is based on a pattern or observation. Making a conjecture is called inductive reasoning. | A point has no definition. | A line has one dimension. It extends without end in two directions. | A plane has two dimensions it is represented by a shape that looks like a floor or wall. | Line Examples

3: Chapter One Basics | Point Examples | Pattern Examples | Plane Examples

4: Angles and Their Measures | An angle consists of two rays, that have the same endpoint, called the vertex. The measure of an angle is written in a unit called degrees. If angles are congruent, they have the same measure. Angles are classified as: right, 90 degrees; acute, between 0 and 90 degrees; obtuse, between 90 and 180; and straight, 180 degrees.

5: Obtuse | Straight | Right | Acute

6: Segment Bisectors | The midpoint of a segment is the point of the segment that divides it into two congruent segments. A segment bisector is a segment, ray, line, or plane that intersects a segment at its midpoint. When you bisect a segment, you cut it in half. | Midpoint | DE is a segment bisector.

7: Angle Bisectors | An angle bisector is a ray that divides an angle into two angles that are congruent.

8: More About Angles | Two angles are complementary angles if the sum of their measure is 90 degrees. Two angles are supplementary angles if the sum of their measures is 180 degrees.

9: Two angles are vertical angles if they are not adjacent and their sides are formed by two intersecting lines.

10: Lines are parallel lines if they lie on the same plane and are the same distance apart over their entire length

11: Angles formed by transversals are when two parallel lines are cut by a third line.

12: A line is perpendicular to another if they meet at 90 degrees. The two lines will form right angle at their intersection.

14: A triangle is a figure formed by three segments joining three noncollinear points called vertices. The sum of the measures of a triangle is 180 degrees | Triangles can be classified by sides Equlilateral Triangle - 3 congruent sides Isosceles Triangle - 2 congruent sides Scalene Triangle - No congruent sides

15: Triangles can be classified by angles Equilateral Triangle - 3 congruent angles Right Triangle - 1 right angle Acute Triangle - 3 acute angles Obtuse Triangle - 1 obtuse angle

16: The 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.

18: Congruent Triangles Triangles are congruent when all corresponding sides and interior angles are congruent. The triangles will have the same shape and size, but one may be a mirror image of the other.

19: Five ways to prove Triangles are Congruent Side-Side-Side (SSS) - if three sides of one triangle are congruent to three sides of a second triangle, then the two triangles are congruent. Side-Angle-Side (SAS) - if two sides and the included angle of one triangle are congruent to two sides and the included angle of a second triangle, then the two triangles are congruent. Angle-Side-Angle (ASA) - if two angles and the included side of one triangle are congruent to two angles and the included side of a second triangle, then the two triangles are congruent. Angle-Angle-Side (AAS) - if two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of a second triangle, then the two triangles are congruent. Hypotenuse-Leg (HL) - if the hypotenuse and a leg of a right triangle are congruent to the hypotenuse and a leg of a second triangle, then the two triangles are congruent.

20: A polygon is a plane figure that is formed by three or more sides and each side intersects exactly two other sides at each of its endpoints

21: A parallelogram is a quadrilateral with both pairs of opposite sides parallel. A rhombuses is a parallelogram with four congruent sides. A rectangle is a parallelogram with four right angles. A square is a parallelogram with four congruent sides and four right angles.

Get up to **50**% off your first order!

or

By clicking on the "Create your account" button, you agree to Mixbook's
Terms of Service.

Welcome back! Go ahead and Log In

or

Your first order