- 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: Geometric Mixbook | John Austin Peay 3rd period 12/12/11

1: Title Page # Sections 1.1-1.5......................................2-3 Angles and Their Measures.........................4-5 Angle and Segment Bisectors......................6-7 Types of Angles......................................8-9 Parallel Lines......................................10-11 Perpendicular Lines..............................12-13 Triangles and Angle Measures..................14-15 Pythagorean Theorem...........................16-17 Ways to Prove Triangles Are Congruent......18-19 Polygons...........................................20-21

2: Angle: an 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. | Coordinate: the real number that corresponds to a point is the coordinate of the point. | A Postulate: is a statement that is accepted without further justification.

3: The border of the sign and the slope inside both make angles. | Point O, is the intersection of lines CD and AB.

4: An acute angle is an angle that has a measure between 0 and 90 degrees. | A right angle has a measure of 90 degrees. | An obtuse angle has measure between 90 and 180 degrees.

5: Look closely and you can see that the tips of pencils are acute angles. Which are all between 0 and 90 degrees.

6: A segment bisector is a segment, ray, line or plane that intersects a segment at its midpoint. | An angle bisector is a ray that divides an angle into two congruent angles.

7: An intersection can be a segment bisector. | Segment AO and OB 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 not formed by two intersecting lines.

9: The line in the middle creates four ninety degree angles, or 2 supplementary angles.

10: Parallel lines are lines that lie in the same plane and do not intersect. | Two angles are same side interior angles if they lie between the two lines on the same side of the transversal | Two angles are alternate exterior angles if the lie outside the two lines on the opposite sides of the transversal

11: Two angles are corresponding angles if they occupy corresponding positions | Two angles are alternate interior angles if they lie between two lines on the opposite sides of the transversal

12: Perpendicular lines intersect to form a right angle. | Angles CBA and DBA are right angles.

14: A triangle is a figure formed by three segments joining three non-collinear points. An equilateral triangle has three congruent sides. An isosceles triangle has at least two congruent sides. A scalene triangle has no congruent sides. An equiangular triangle has three congruent angles. An acute triangle has 3 acute angles. A right triangle has on right angle. An obtuse triangle has one obtuse angle.

15: This triangle is equilateral and equiangular. | This triangle is obtuse and scalene. | The triangle on the left is right and isosceles.

16: Pythagorean theorem | a2 + b2 = c2 | Distance Formula | Example of distance formula

17: Below are two examples of Pythagorean theorem problems.

18: Congruent When all pairs of corresponding angles are congruent and all pairs of corresponding sides are congruent in two figures, the figures are congruent. | SSS Congruence Postulate If three sides of one triangle are congruent to three sides of a second triangle, then the two triangles are congruent. | ASA Congruence Postulate If 2 angles and the included side of one triangle are congruent to 2 angles and the included side of a second triangle, then the two triangles are congruent.

19: AAS Congruence Postulate If 2 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. | SAS Congruence Postulate If 2 sides and the included angle of one triangle are congruent to 2 sides and the included angle of a second triangle, then the two triangles are congruent. | Hypotenuse Leg Congruence Postulate If the hypotenuse and a leg of a right triangle are congruent to the hypotenuse and a leg of a second triangle, then the 2 triangles are congruent.

20: If a quadrilateral is a parallelogram, then both pairs of opposite sides are parallel. | A rhombus is a parallelogram with four congruent sides. | A RECTANGLE is a parallelogram with four right angles.

21: A SQUARE is a parallelogram with four congruent sides and four congruent angles.

Create an account so we can save your project!

or

By clicking on the Create button, you agree

to Mixbook's Terms of Service.

to Mixbook's Terms of Service.

Welcome back! Go ahead and Log In

or