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Published byJeremy Singleton Modified over 9 years ago
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1.1 and 1.5 Rectangular Coordinates and Circles Every man dies, not every man really lives. -William Wallace
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Coordinate Plane Quadrant I x > 0, y > 0 Quadrant II x 0 Quadrant IV x > 0, y < 0 Quadrant III x < 0, y < 0 x-axis y-axis
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Distance Formula
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Midpoint Formula
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Distance and Midpoint Practice Practice: Given the points (-9,5) and (4,2) 1) Find the length of the line segment joining the two points 2) Find the midpoint of the line segment joining the two points
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Applying Distance Formula Verify that the triangle with the following vertices is a right triangle and find its area. A = (-6,3);B = (3, -5);C = (-1,5)
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Equation of a Circle Standard Form: General Form:
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Circle Practice 1) Write the standard form and general form of the equation of a circle with center at (4, -3) and radius r = 4
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Circle Practice 2) Determine the center (h,k) and radius r of the given circle. Determine the intercepts and sketch the graph.
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Circle Practice – Turn In 3) Determine the equation in standard form and general form for the circle with endpoints of diameter at (4,3) and (0,1). 4) Determine the center (h,k) and radius r of the given circle. Determine the intercepts. Graph in the calculator to check your answer.
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1.1 and 1.5 Rectangular Coordinates and Circles Every man dies, not every man really lives. -William Wallace Pg 9 #35, 37, 55, 57, 65 Pg 49 #5, 13, 15, 23*, 29* * Graph on calculator
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