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CONICS

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... than 3 million people visited Yellowstone National Park in Wyoming and Idaho in 1996. ... Example 2 in the Student Edition shows a section of Yellowstone. ... – PowerPoint PPT presentation

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Title: CONICS


1
CHAPTER 10
  • CONICS
  • Section 10.1
  • Introduction to Analytic Geometry

2
Section 10.1 Introduction to Analytic Geometry
  • Reading Quiz (hour 1)
  • What is the midpoint formula.
  • Given the two points
  • A ( 7, -1 ) B ( -3, -4)
  • find the slope.

3
Section 10.1 Introduction to Analytic Geometry
  • Reading Quiz (hour 4)
  • What is the distance formula.
  • Given the two points
  • A ( 4, -3 ) B ( -8, -5)
  • find the slope.

4
Section 10.1 Introduction to Analytic Geometry
  • Example 1a
  • Find the distance between points at (4, -2) and
    (8, 3).

5
Section 10.1 Introduction to Analytic Geometry
  • Example 1b
  • Find the distance between points at (10, 7) and
    (-4, 8).

6
Section 10.1 Introduction to Analytic Geometry
  • Example 2
  • More than 3 million people visited Yellowstone
    National Park in Wyoming and Idaho in 1996.
    Sometimes visitors become lost or injured and
    must be rescued. Suppose that the grid in
    Example 2 in the Student Edition shows a section
    of Yellowstone. If the search team is located at
    (3, -1.5) and an injured visitor is located at
    (-2.5, 1.5), how far is the search team from the
    missing person?

7
Section 10.1 Introduction to Analytic Geometry
  • Example 3a
  • Determine whether quadrilateral PQRS with
    vertices P(-4, 2), Q(-3, -2), R(3, -3), and S(1,
    5) is a parallelogram.

8
Section 10.1 Introduction to Analytic Geometry
  • Example 3b
  • Determine whether quadrilateral QRST with
    vertices Q(-4, -1), R(-2, -3), S(4, 3), and T(2,
    5) is a parallelogram.

9
Section 10.1 Introduction to Analytic Geometry
  • Example 3c
  • Prove that the points A(-7, 2), B(3, -4), and
    C(1, 4) are the vertices of an isosceles triangle.

10
Section 10.1 Introduction to Analytic Geometry
  • Example 4a
  • Find the coordinates of the midpoint of the
    segment that has endpoints at (2, 5) and (-4, -4).

11
Section 10.1 Introduction to Analytic Geometry
  • Example 4b
  • Find the coordinates of the midpoint of the
    segment that has endpoints at (-5, 4) and (7, -2).

12
Section 10.1 Introduction to Analytic Geometry
  • Example 5
  • The vertices of a parallelogram are (3,2),
    (0,-2), (-7,-2), and (-4,2). Find the area of
    the parallelogram.
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