FC: Chaney Laurent | Geometry Scrapbook
1: Basics of Geometry Page 2 Angles and Their Measures Page 4 Angle and Segment Bisectors Page 6 Complimentary, Supplementary, and Vertical Angles Page 8 Parallel Lines and Transversal Page 10 Perpendicular Lines Page 12 Triangles Page 14 Pythagorean Theorem and Distance Formula Page 16 Congruent Triangles Page 18 Polygons Page 20
2: Basics of Geometry | Finding and Describing Patterns: Finding a pattern is looking for a relationship between many objects Describing a pattern is stating the relation
3: Intersection: the point or points that two figures have in common. | A Point has no dimension and is represented by a small dot. A Line has one dimension and extends in two directions. Lines have no end. A plane has two dimensions and is represented with a shape that looks like a floor or wall. A plane also has no end
4: Angles and Their Measures
5: An acute angle has a measure of 89 degrees or less. A right angle has a measure of exactly 90 degrees. An obtuse angle has a measure of 91 degrees or more.
6: Angle and Segment Bisectors
7: A segment bisector is a ray,line, segment, or plane that divides a segment into two congruent parts. An angle bisector is a ray that divides an angle into two congruent parts.
9: Complementary angles add up to 90 degrees | Complementary, Supplementary and Vertical Angles | Vertical angles are two nonadjacent angles. Their sides are formed by two intersecting lines | Supplementary angles add up to 180 degrees
10: Parallel Lines and Transversal
11: Parallel lines are lines that never touch or intersect | A transversal is a line that intersects two or more coplanar lines at different points
13: Perpendicular Lines | Perpendicular lines are to lines that intersect to make 4 right angles.
14: Triangles | There are three ways to classify a triangle by its angles: right, obtuse and acute. A right angle has one right and and two acute angles. An obtuse triangle has one obtuse angle and two acute angles. An acute triangle has three acute angles.
15: There are also three ways to classify a triangle by its sides: equilateral, isosceles, and scalene. An equilateral triangle has three equal sides. An isosceles triangle has two equal sides. A scalene triangle has no congruent sides
16: Pythagorean Theorem and Distance Formula
17: Pythagorean Theorem- In a right triangle, the square of the length of the hypotenuse is equal to the sum of of the squares of the length of the legs. . Distance formula- gives the distance between two points in a coordinate plane..
18: Congruent Triangles | Triangles are congruent if the have the same angle and side measures. The five ways to prove congruency are: Angle Side Angle, Side Side Side, Side Angle Side, Angle Angle Side, and Hypotenuse Leg.
21: Polygons | A polygon is a plane figure that is formed by three or more segments called sides