FC: Joshua Anderson 3rd period | Geometry Scrap Book
1: Table Of Contents | 2-3. Lines Points and Planes 4-5. Angles and there Measures 6-7. Angles and Segment Bisectors 8-9. Complementary,Supplementary, and Vertical Angles 10-11. Parallel lines (Angles formed by Transversal) 12-13 Perpendicular Lines 14-15. Triangles and Angle measurements 16-17. Pythagorean Theorem and Distance Formula 18-19. Congruent Triangles 20-21. Polygons (Parallelograms, rhombuses,rectangles, squares)
2: Point: A point has no dimension, it is represented by a small dot | Line: A line has one dimension, it extends without end in two directions. | Plane: A plane has two dimension, it extends without end.
3: This is an example of a line | P is the point | Real world example of Plane (Tile flooring)
4: Angles: Angles are the the space (usually measured in degrees) between two intersecting lines or surfaces at or close to the point where they meet.
5: A Right Angle is a degree angle | An Acute Angle is under 90 degrees | An Obtuse Angle is above 90 degrees | Real life example of an obtuse angle
6: Angle Bisector An angle bisector is a bisector that cuts a line segment into two equal parts. | Segment Bisector A segment bisector is a line, ray or segment which cuts another line segment into two equal parts | Angle Bisector
7: Segment Bisector
8: Supplementary Angles Supplementary angles are angles whose sum is 180.
9: Vertical Angles Vertical angles are opposite angles made by two intersecting lines that are equal to each other.
10: Parallel Lines Parallel lines are lines that are side by side and having the same distance continuously between them.
11: Two parallel lines
12: Perpendicular lines Perpendicular lines are lines at an angle of 90 to a given line, plane, or surface. They intersect each other.
14: Geometry | Triangles Triangles are plane figures with three straight sides and three angles. | Angle Measures Angle Measures are measurements of angles.
15: Triangle | Side | Angle
16: Pythagorean Theorem The Pythagorean Theorem is a theorem that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides. | Distance Formula
18: Congruent Triangles Congruent 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. | Angle Angle Side (AAS) | Side Angle Side (SAS) | Side Side Side (SSS) | l | lll | ll | Hypotenuse leg (HL)
19: Angle Side Angle (ASA) | Ways of congruency: AAS, ASA, SAS, SSS, HL | Side Angle Side (SAS) | l | ll | lll | l | l
20: Polygons A polygon plane figure that is formed by three or more segments called sides. | Parallelograms A parallelogram has two pairs of opposite sides that are parallel. | Square A square is a parallelogram with four congruent sides and four right angles.
21: Rhombus A rhombus is a parallelogram with four congruent sides. | Rectangles A rectangle is a parallelogram with four right angles.
22: Trapezoid A trapezoid is a quadrilateral with exactly one pair of parallel sides. | Isosceles Trapezoid An isosceles trapezoid is when the legs of a trapezoid are congruent. | Mid point of a Trapezoid The mid point of a trapezoid is the segment that connects the midpoint of the legs.
23: l | l | Isosceles Trapezoid | Midpoint of Trapezoid
24: Solid Figures Solid figures are three dimensional figures. | Polyhedron Polyhedron is when a solid is formed by polygons.
25: Winter Fun