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IM Geo.6.7 Practice: Distances and Parabolas

Author:GeoGebra Classroom Activities, IM Algebra 1, Geometry, Algebra 2

The point  is the same distance from  as it is from the -axis. What is the value of ?

A parabola is defined as the set of points the same distance from  and the line . Select all points that are on this parabola.

Select all that apply
  • A
  • B
  • C
  • D
  • E
Check my answer (3)

Compare and contrast the parabolas with these definitions.

  • parabola A: points that are the same distance from  and the -axis
  • parabola B: points that are the same distance from  and the -axis

Find the center and radius of the circle represented by the equation .

Match each expression with the value needed in the box in order for the expression to be a perfect square trinomial.

Select all that apply
  • A
  • B
  • C
  • D
Check my answer (3)

Select all that apply
  • A
  • B
  • C
  • D
Check my answer (3)

Select all that apply
  • A
  • B
  • C
  • D
Check my answer (3)

Select all that apply
  • A
  • B
  • C
  • D
Check my answer (3)

Write each expression as the square of a binomial.

Write an equation of a circle that is centered at  with a radius of 10.

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.

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

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