S: WEDDING GUEST BOOK
FC: Ahauve Orusa Geometry Scrapbook 2nd Period
1: Table of Contents | 1...2 Topics from Sections 1.1-1.5 3...4 Angle's and their Measures 5...6 Angle and Segment Bisectors 7...8 Complementary, Supplementary, and Vertical Angles 9...10 Parallel Lines and Angles formed by Transversal 11...12 Perpendicular Lines 13...14 Triangles and Angle Measures 15...16 Pythagorean Theorem and Distance Formula 17...18 Congruent Triangles 19...20 Polygons
2: Section 1-1.5 | Plane- has two dimensions. It is represented by a shape that looks like a floor or wall. Segment- A line that consists of endpoints.
3: Intersection- of two or more figures is the point or points that the figures have in common.
4: Acute Angle- Measure is between 0 degrees and 90 degree.
5: Angles and Their Measures | Obtuse Angle- Measure is between 90 degrees and 180 degrees. Right Angle- Measure is 90 degrees.
6: Angle Bisector- Is a ray that divides an angle into two angles that are congruent.
7: Segment Bisector- Is segment, ray, line, or plane that intersects a segment at its midpoint.
8: Complementary Angles- If the sum of the 2 angles measures 90 degrees.
9: Vertical Angles- If two angles are not adjacent and their sides are formed by two intersecting lines. | Supplementary Angles- If the sum of the 2 angles measures 180 degrees.
10: Parallel Lines: Two lines that lie in the same plane and do not intersect. | Angles Formed by Transversal's: A transversal is a line that intersects two or more coplanar lines at different points. There are 4 different types of angles formed shown on the next page.
11: Corresponding Angles: Two angles that occupy corresponding positions. Ex:) <4 and <7, <1 and <2 Alternate Interior Angles: Two angles that lie between the two lines opposite sides of the transversal. Ex:) <3 and <7,<8 and <2 Alternate Exterior Angles: Two Angles that lie outside the two lines on the opposite sides of the transversal. Ex:) <1 and <5, <6 and <4 Same-Side Interior Angles: Two angles that lie between who lines on the same side of the transversal. Ex:) <8 and 7, <3 an d<2
12: Perpendicular Lines: Two lines that intersect to form a right angle.
13: In the building shown above right angles are formed in the windows from intersecting lines.
14: Triangle: A figure formed by three segments joining three non collinear points. | Classification of Triangles by Sides: | Equilateral | Isosceles | Scalene
15: Classification of Triangles by Angles: | Right Triangle | Obtuse Triangle | Acute Triangle | Equiangular Triangle
16: Pythagorean Theorem: The square of the length of the hypotenuse is equal to the sum of the squares of the length of the legs.
17: Distance Formula: The Distance Formula Gives the distance between two points in a coordinate plane.
18: Congruent Triangles: Triangles that have figures where all pairs of corresponding angles are congruent and all pairs of corresponding sides are congruent. | The 5 Ways to Prove Triangle Congruency: 1.)SSS(Side-Side-Side)
19: The 5 Ways to Prove Triangle Congruency Continued: | 4.)AAS (Angle-Angle-Side): | 3.) ASA(Angle-Side-Angle) | 2.) SAS (Side-Angle-Side) | 5.)HL(Hypotenuse-Leg
20: Polygon: A plane figure that is formed by three or more segments called sides. | Parallelograms: A parallelogram is a quadrilateral with both pairs of opposite sides parallel/. Rhombus:A parallelogram with three congruent sides. Rectangle:A parallelogram with four right angles Square:A parallelogram with four congruent sides and four right angles.
21: Types of Polygons: | Quadrilateral | Pentagon | Octagon | Triangle | Heptagon | Hexagon