S: Geometry is Actually used in life
BC: Geometry 3rd period with Mrs. Peay | I Mrs. Peay
FC: All You Need to Know About Geometry | Rebekah Lynn 3rd period December 12, 2011
1: Table of Contents Page 1: Table of contents Page 2-3: Geometry Basics Page 4-5: Classification of angles by measurement Page 6-7: Angle and segment bisectors Page 8-9: Complementary, supplementary, and vertical angles Page 10-11: Angles formed by transversal 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 Page 22-23: Key terms
2: A plane is an undefined term that has two dimensions. | Collinear points are points that lay on the same line.
3: The intersection of two or more figures is the point or points that the figures have in common.
4: Acute angles have measures between 0 and 90 degrees. | Right angles have a measure of 90 degrees. | Straight angles have measures of 180 degrees. | Obtuse angles have a measure of 90 degrees to 180 degrees.
5: An angle consists of two rays that have the same endpoint. The rays are the sides of the angle., and the endpoint is the vertex of the angle.
6: Angle Bisectors are rays that divide an angle into two angles that are congruent.
7: A segment bisector is a segment, ray, plane, or line that intersects a segment at its midpoint.
8: Supplementary angles are two angles with the sum of 180 degrees | Complementary angles are two angles with the sum of 90 degrees.
9: Vertical angles are two angles that are not adjacent, and whose sides are formed by two intersecting lines.
10: Parallel lines are two lines on the same plane, but they don't intersect one another. | Corresponding angles are two angles that have corresponding positions.
11: Alternate exterior angles are two angles that lie outside the two lines on the opposite sides of the transversal. | Same side interior angles are two angles that lie between the two lines on the same side of the transversal. | Alternate interior angles are two angles that lie between the two lines on the opposite sides of the transversal.
13: Perpendicular lines are lines that intersect to form a right angle.
14: 3. Equilateral triangles have three congruent sides. | 7. Scalene triangles have no congruent sides. | Triangles are figures formed by three segments joining three non collinear points. | 1. Isosceles triangles have two congruent sides. | 4. Acute triangles have acute angles. | 2. Right triangles have on right angle. | 5. Obtuse triangles have one obtuse angel. | 6. Equiangular triangle's angles are all equal.
16: The Pythagorean theorem is the sum of the length of the legs squared is equal to the hypotenuse squared. | Legs are the sides that form a right angle in the right triangle. Hypotenuse is the side opposite of the right angle.
17: Distance formula gives distance between two points in a coordinate plane.
18: Congruent triangles are figures that have corresponding angles and/or sides. | Angle angle side is if two different triangles both have two angles and a non-included side. | Angle side angle is if two angles and an included side are congruent to another triangles two angles and included side.
19: Hypotenuse leg is if two right triangles both have a congruent leg and hypotenuse. | Side side side if three sides in one triangle are congruent to three sides in another triangle. | Side angle side is if one triangle has two sides and a included angle that are congruent to another triangles two sides and included angle.
20: A polygon is a plane figure that is formed by three or more segments called sides | A rhombus is a parallelogram with four congruent sides. | A rectangle is a parallelogram with four right sides.
21: A square is a parallelogram with four congruent sides and four right angles.
22: A conjecture is an unproven statement based upon pattern or observation. | Inductive reasoning is looking at patterns and making conjectures.
23: Distance is the absolute value of the difference between two coordinates. | Length is a measured distance