Illustrative Mathematics - Geometry - Unit 6 - Lesson 7

The point (6,y) is the same distance from (4,1) as it is from the x-axis. What is the value of y?

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A parabola is defined as the set of points the same distance from (6,2) and the line y=4. Select all points that are on this parabola.

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Compare and contrast the parabolas with these definitions.parabola A: points that are the same distance from (0,4) and the x-axisparabola B: points that are the same distance from (0,-6) and the x-axis

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Find the center and radius of the circle represented by the equation x^{2}+y^{2}-8y+5=0.

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The density of water is 1 gram per cm3. An object floats in water if its density is less than water’s density, and it sinks if its density is greater than water’s. Will a solid bar of soap shaped like a rectangular prism with mass 1.048 kilograms and dimensions 5.6 centimeters, 13 centimeters, and 16 centimeters float or sink? Explain your reasoning.

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Jada has this idea for bisecting angle ABC. First she draws a circle with center B through A. Then she constructs the perpendicular bisector of AD. Does Jada's construction work? Explain your reasoning. You may assume that the perpendicular bisector of line segment AD is the set of points equidistant from A and D.

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G.GPE.4

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