BC: The End
FC: Geometry Under the Sea | Morgan McIntosh 3rd Period December 12, 2012
1: Table of Contents | Page 1 : Table of Contents Page 2&3- Chapter 1 Basics Page 4&5- Angle measures Page 6&7- Bisectors Page 8&9- Angles Page 10&11- angles formed by transversal Page 12&13- Perpendicular Lines Page 14&15- Triangles and angle measures Page 16&17- Pythagorean Theorem and Distance Formula Page 18&19- Congruent Triangles Page 20&21- Polygons Page 22&23- Extra Definitions
2: A point has no dimension. It is represented by a small dot. | A line has one dimension. It extends without end in two dimensions. It has represented by a line with two arrowheads.
3: A plane has two dimensions. It is represented by a shape that looks like a floor or wall. You have to imagine that it extends without end. | A real world example of a plane would be a football field, because it looks like a floor.
4: A right angle measures 90 degrees. A real world example would be the corner of a table. | An obtuse angle measures between 90 and 180 degrees.
5: An acute angle measures between 0 and 90 degrees. | A straight angle measures 180 degrees.
6: Angle Bisector- a ray that divides an angle into two angles that are congruent. | A real world example would be the lines on a leaf.
7: Segment Bisector- a segment, ray, line, or plane, that intersects a segment at its midpoint.
8: Two angles are supplementary angles is the sum of their measures is 180 degrees. | Two angles are complementary angles is the sum of their measures is 90 degrees.
9: Two angles are vertical angles if they are not adjacent and their sides are formed by two intersecting lines. | A real world example would be a water tower.
10: Two lines are parallel if they lie in the same plane and do not intersect. A real world example would be road lines. | Two angles are corresponding angles if they occupy corresponding positions.
11: Two angles are alternate interior angles if they lie between the two lines on the opposite sides of the transversal. | Two angles are alternate exterior angles if they lie outside the two lines on the opposite sides of the transversal. | Two angles are same side interior angles is they lie outside the two lines on the opposite sides on the transversal.
12: Two lines are perpendicular lines is they intersect to form a right angle.
13: A real world example would be a compass.
14: Equilateral Triangle- 3 congruent sides | Isosceles Triangle- at least 2 congruent sides | Scalene Triangle- no congruent sides
15: Right triangle- measures 90 degrees. | Obtuse angle- measures between 90 and 180 degrees | Straight angles- measures 180 degrees | Acute angle- measures between 0 and 90 degrees.
16: The Pythagorean Theorem- In a right, triangle, the square of the length of the hypotenuse in equal to the sum of the squares of the lengths of the legs. | A real world example would be a ladder leaning against the wall.
17: The Distance Formula- gives the distance between two points in an coordinate plane.
18: SSS- side side side | SAS- side angle side. Real world example- roller coaster
19: ASA- angle side angle | AAS- angle angle side | HL- hypotenuse Leg
20: Polygon- a plane figure that is formed by three or more segments called lines | A rhombus is a parallelogram with 4 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. | A parallelogram is quadrilateral with both pairs of opposite sides parallel. A real world example of would a guitar.
22: 1. Skew lines- two lines that do not line on the same plane 2. Converse- the statements formed by switching the hypothesis and the conclusion. 3. Construction- a geometric drawing that uses a limited set of tools. 4. Vertex- a point that joins two sides of a triangle. 5. Legs- the congruent sides of an isosceles triangle
23: 6. Base- the other side of an isosceles triangle 7. median- a segment from a vertex to the midpoint of the opposite sides. 8. Centroid- the tree medians of a triangle that intersect at one point 9. adjacent angles- share a common vertex and sides, but have no common interior points 10. Theorem- a true states that follows from other true statements.