Chapter 5- Learning Outcome 1_Mathematics for Technologists
- 1. 21st Century Mathematics for the Industrial Technology Learners: Automotive Technology BABY 'RLENE I. BAYOC
- 2. Geometry Chapter V 21st Century Mathematics for the Industrial Technology Learners: Automotive Technology
- 3. CHAPTER V: Geometry Learning Outcome 1: Discussed the basics of Geometry and define terminologists in geometry
- 4. CHAPTER V: Geometry Undefined Geometric Terms • Line. A line extends forever in both directions. A line passing through two different points A and B can be written as ‘line AB’ or as , the two-headed arrow over AB signifying a line passing through points A and B • Point. Exact location in plane or surface. Usually represented by a dot and a corresponding capital letter. Does not have any length or width • Plane. A flat two-dimensional surface. Usually refers to a whole space • Rays. Part of a line that begins at a particular point and extends endlessly in one direction. Also called a half-line. Named with its endpoint in the first place, followed by the direction in which it is moving.
- 5. CHAPTER V: Geometry ANGLES Two rays that share the same endpoint. The point where the rays intersect is called the vertex of the angle. The two rays are called the sides of the angle. We can specify an angle by using a point on each ray and the vertex. The angle below may be specified as angle ABC or as angle CBA; you may also see this written as ABC or as CBA. Note how the vertex point is always given in the middle.
- 6. CHAPTER V: Geometry Types of Angles • Acute angle. An angle which measures between 0 to 90 degrees (fig. a) • Right angle. An angle which measures exactly 90 degrees (fig. b) • Obtuse angle. An angle which measures between 90 and 180 degrees (fig. c)
- 7. CHAPTER V: Geometry Pairs of Angles • Supplementary angle. Two angles having a sum of 180 degrees • Complementary angle. Two angles having a sum of 90 degrees Bisector of an Angle
- 8. CHAPTER V: Geometry TRIANGLES Polygon having three sides. the sides of a triangle can be considered possible if and only if Sum of TWO sides is always greater than the other side. Kinds of triangles 1. According to number of equal or congruent sides • Isosceles triangle- A triangle having two sides of equal length • Equilateral triangle. A triangle having all three sides of equal length. The angles of an equilateral triangle all measure 60 degrees • Scalene triangle. A triangle having three sides of different lengths
- 9. CHAPTER V: Geometry 2. According to measure of angles formed Right triangle. A triangle having a right angle. One of the angles of the triangle measures 90 degrees. The side opposite the right angle is called the hypotenuse. Pythagorean Theorem: a^2 + b^2 = c^2. • Acute triangle. A triangle having three acute angles • Obtuse triangle. A triangle having an obtuse angle. One of the angles of the triangle measures more than 90 degrees
- 10. CHAPTER V: Geometry Polygons The sum of angles of a polygon can be computed using the formula (n-2)* 180, where n is the number of sides
- 11. CHAPTER V: Geometry REFERENCES • https://study.com/academy/lesson/basic-geometry-rules-formul as.html • https:/www.khanacademy.org/math/basic-geo • https:/www.onlinemathlearning.com/basic-geometry.html • https:/www.youtube.com/watch?v=il0EJrY64qEhttps%3A%2F %2Fwww.varsitytutors.com%2Fbasic_geometry-practice-tests
- 12. CHAPTER V: Geometry Thank you