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CHAPTER 10

- CONICS
- Section 10.1
- Introduction to Analytic Geometry

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.

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.

Section 10.1 Introduction to Analytic Geometry

- Example 1a
- Find the distance between points at (4, -2) and

(8, 3).

Section 10.1 Introduction to Analytic Geometry

- Example 1b
- Find the distance between points at (10, 7) and

(-4, 8).

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?

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.

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.

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.

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).

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).

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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