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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
• 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
• 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.