Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Section 1.1 The Distance and Midpoint Formulas
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. x axis y axis origin Rectangular or Cartesian Coordinate System
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Let's plot the point (6,4) (-3,-5) (0,7) Let's plot the point (-6,0) (6,4) (-6,0) Let's plot the point (-3,-5)Let's plot the point (0,7)
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Quadrant I x > 0, y > 0 Quadrant II x 0 Quadrant III x < 0, y < 0 Quadrant IV x > 0, y < 0
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Calculator: Select a setting so each point will lie within the viewing window.
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
Horizontal or Vertical Segments
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Find the distance d between the points (2, 4) and ( 1, 3).
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
Plot each point and form the triangle ABC, verify that the triangle is a right triangle. Find its area.
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
Find the midpoint of the line segment from P 1 = (4, 2) to P 2 = (2, 5). Plot the points and their midpoint. P1P1 P2P2 M
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Find the midpoint of the line segment joining points and
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Find all points on the y-axis that are 5 units from the point (4, -3)
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. The layout of a Little League playing field is a square, 60 feet on a side. How far is it directly from home plate to second base (the diagonal of the square)?
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. A hot –air balloon, headed due east at an average speed of 15 miles per hour and at a constant altitude of 100 feet, passes over an intersection (see the figure). Find an expression for the distance d (measured in feet) from the balloon to the intersection t seconds later.
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.