FC: Geometry Scrapbook:Chp. 1-6 By: Hailey Mullins
1: Table Of Contents Pg. 2-3...........DEf, of line, ray, and point Pg.4-5.................Angles and their measures Pg. 6-7............Angle and segment Bisectors Pg.8-9.......Comp., Sup.,and Vertical angles Pg.10-11.............................Parallel lines and transversal's Pg.12-13...........................Perpendicular lines Pg.14-15..............Triangles and their angle measures Pg.16-17.......Pythagorean theorem and the distance formula Pg.18-19..............Def. of congruent triangles Pg. 20-21........................................Polygons
2: ray: a part of a line that begins at a particular point (called the endpoint) and extends endlessly in one direction | Point:A point has no dimension | Line:a two-dimensional object that has no endpoints and continues on forever in a plane.
4: Angles: A figure made by two rays | Obtuse: An angle that measure is between 90degrees, and 360 degrees | Acute: An angle With a measure between 0 degrees and 90. | Right: An angle with the measure of 90 degrees
5: Right | Acute | Obtuse | Acute | Obtuse | Right
6: Segment Bisector: A segment that divides a line into two equal parts. | Angle Bisector: A Ray that Divides an angle into two equal parts.
7: Segment Bisector | Angle Bisector
8: Supplementary angle: | Two angles are complementary if they add up to 180 Degrees. | Complementary angles: | Two angle are complementary if they add up to be 90 degrees.
9: Vertical Angles: | angles opposite each other when two lines cross.
10: Parallel Lines: Two lines on a plane that never meet. | Transversal: A Line thats cuts across two or more parallel lines.
12: Perpendicular lines: A line is perpendicular to another if they meet at a 90 degree angle
14: Triangles: A three sided, three angled polygon that is made up of line segments. | Obtuse Triangle: A Triangle with at least one obtuse angle. | Right Triangle: A triangle with on right angle. | Equal angular Triangle: A triangle with all equal angles. | Scalene triangle: All three sides are different measurements. | Scalene & Right
15: Acute Triangle: A triangle with all three angles acute. | Isosceles Triangle: A triangle with two equal sides, but one that is unequal. | Equilateral Triangle: All the sides of the triangle are equal.
16: Pythagorean Theorem: A theorem attributed to Pythagoras that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides
17: Distance Formula: The formula , which is used to find the distance between two points (x1, y1) and (x2, y2)
18: Congruent triangles: Triangles that have the same shape and size. | SAS: Side, Angle, Side Two Given sides and an angle in between. | AAS: Angle, Angle, Side if two angles and a non-included side of one triangle are congruent to The same sides and angles in another triangle, they are congruent.
19: ASA: Angle, Side, Angle Two given angles, and a given side in between. | SSS: All the Given sides in on triangle are the same as the other triangle | HL: if the hypotenuse and leg of a right triangle are congruent to the hypotenuse and leg of another right triangle
20: Polygons: A plane shape with straight sides. | Rectangle: Any quadrilateral with four right angles | Rhombus: quadrilateral whose four sides all have the same length
21: Parallelogram: A quadrilateral with two pairs of parallel sides | Square: Any quadrilateral with for congruent sides and four right angles