TIU CET Review Math Session 4 Coordinate Geometry

TIU CET Review Math Session 4 Coordinate Geometry

• 1.
  COORDINATE GEOMETRY TIU Session 4 College Entrance Test Review
• 2.
  Rene Descartes Fatherof Modern Philosophy Many contributions to math: Cartesian Coordinate System Which uses ALGEBRA to describe GEOMETRY Descartes’ Rule of Signs
• 3.
  Cartesian Coordinate SystemX-axis Y-axis Point – described as an ORDERED PAIR
• 4.
  Recall: Undefined termsin geometry? POINT – now described as (x, y) LINE – we will define as an equation: where x & y are unknowns, and a and b are known quantities. PLANE – the Cartesian plane (previous slide)
• 5.
  “ Features” ofa LINE SLOPE MIDPOINT LENGTH OF A LINE SEGMENT (or DISTANCE BETWEEN TWO POINTS)
• 6.
  SLOPE OF ALINE / LINE SEGMENT Steepness
• 7.
  SLOPE – usuallycomputed using two given points Given the points P(7, 2) and Q (3, -5) in a plane. Find the slope of the line containing these two points. the slope m of line is given by = .
• 8.
  Graph of: Linesegment with endpoints (7, 2) and (3, -5). Plotted by www.wolframalpha.com.
• 9.
  MIDPOINT OF TWOPOINTS Midpoint M of two points P and Q Given the points P(7, 2) and Q(3,-5) in a plane. Find the midpoint of these two points.
• 10.
  Midpoint – islike getting the AVERAGE – is a POINT, so your answer must have two coordinates. – Get the average of the X coordinates, and the average of the Y coordinates Midpoint Formula:
• 11.
  Given the pointsP(7, 2) and Q(3,-5) in a plane. Find the midpoint of these two points.
• 12.
  Distance between TwoPoints (or the length of a line segment) Given the points P(7, 2) and Q(3,-5) in a plane. Find the distance between these two points.
• 13.
  How do weget the length of the hypotenuse of a right triangle? Pythagorean Theorem:
• 14.
  Distance between twopoints Distance Formula
• 15.
  PRACTICE TIME! 
• 16.
  EQUATIONS OF ALINE