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 No talking!  No textbooks  Open notes/HW/worksheets  No sharing with your classmates  20 minute time limit.

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Presentation on theme: " No talking!  No textbooks  Open notes/HW/worksheets  No sharing with your classmates  20 minute time limit."— Presentation transcript:

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3  No talking!  No textbooks  Open notes/HW/worksheets  No sharing with your classmates  20 minute time limit

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5 Section 1.3

6  The distance, d, between the points (x 1, y 1 ) and (x 2, y 2 ) is  Derived from the Pythagorean Theorem

7  Find the distance between (3, 7) and (-2, 4)

8  The diameter of a circle has endpoints at (-5, 6) and (1, -1). a) What is the diameter of the circle? b) What is the radius of the circle?

9  The midpoint of a line segment with the endpoints (x 1, y 1 ) and (x 2, y 2 ) is  Average the x’s and average the y’s

10  Find the midpoint of the line segment with endpoints (-3, 5) and (7, -9)

11  The diameter of a circle has endpoints (-1, -2) and (5, 4).  Where is the center of the circle?

12  A circle is the set of all points in a plane that are equidistant from a fixed point, called the center.  The center is at (h, k)  The fixed distance from the circle’s center to any point on the circle is called the radius.  The radius is r.

13  Center at (h,k)  Radius = r

14  Write the standard form of the equation of the circle with center (3, -4) and radius 5.

15  Write the standard form of the equation of the circle with center (-2, 1) and radius 6.

16  Page 148 #1-29 Odd  Give exact answers, not rounded decimals

17 In #1-18, find the distance between each pair of points. Give exact answers. 1) (2, 3) and (14, 8) 3) (4, 1) and (6, 3) 5) (0, 0) and (-3, 4) 7) (-2, -6) and (3, -4) 9) (0, -3) and (4, 1) 11) (3.5, 8.2) and (-0.5, 6.2)

18  The endpoints of a line segment are located at (4, -5) and (-2, -7). a) Find the length of the line segment (distance between the endpoints). b) Find the midpoint of the line segment.

19 1. Identify and graph the center. 2. Identify the radius, r. 3. Count out from the center r units in each direction (up, down, right, left) and plot a point. 4. Draw a circle through those 4 points.

20  State the center and radius of the circle described by the equation below and graph it

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24  Complete the square and write the equation in standard form. Then state the center and radius of the circle.

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26  Read Section 1.3  Page 148 #1-57 Odd  Give exact answers, not rounded decimals.

27 In #1-18, find the distance between each pair of points. Give exact answers. 1) (2, 3) and (14, 8) 3) (4, 1) and (6, 3) 5) (0, 0) and (-3, 4) 7) (-2, -6) and (3, -4) 9) (0, -3) and (4, 1) 11) (3.5, 8.2) and (-0.5, 6.2)

28  In Exercises 31-40, write the standard form of the equation of the circle with the given center and radius.  31) Center (0, 0), r=7  33) Center (3, 2), r=5  35) Center (-1, 4), r=2  37) Center (-3, 1), r=  39) Center (-4, 0), r=10  In Exercises 41-48, give the center and radius of the circle described by the equation and graph each equation.


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