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IM Geo.1.9 Practice: Speedy Delivery

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

Which construction can be used to determine whether point  is closer to point  or point ?

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  • D
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The diagram is a straightedge and compass construction. Lines  and  are the perpendicular bisectors of the sides of triangle . Select all the true statements.

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  • D
  • E
  • F
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Decompose the figure into regions that are closest to each vertex. Explain or show your reasoning.

Which construction could be used to construct an isosceles triangle  given line segment ?

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  • D
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Select all true statements about regular polygons.

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  • D
  • E
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This diagram shows the beginning of a straightedge and compass construction of a rectangle.

The construction followed these steps:

  • Start with two marked points  and 
  • Use a straightedge to construct line
  • Use a previous construction to construct a line perpendicular to  passing through
  • Use a previous construction to construct a line perpendicular to  passing through
  • Mark a point  on the line perpendicular to  passing through 
Explain the steps needed to complete this construction.

This diagram is a straightedge and compass construction.

Is it important that the circle with center  passes through  and that the circle with center  passes through ? Show or explain your reasoning.

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