IM Geo.1.9 Practice: Speedy Delivery

Autor: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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A
Construct triangle .
B
Construct a line perpendicular to segment through point .
C
Construct the bisector of angle .
D
Construct the perpendicular bisector of segment .

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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A
Point is closer to point than it is to point .
B
Point is closer to point than it is to point .
C
Point is closer to point than it is to point .
D
Point is closer to point than it is to point or point .
E
Point is closer to point than it is to point or point .
F
Point is closer to point than it is to point or point .

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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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A
Mark a third point not on segment . Draw segments and .
B
Label a point on segment and construct a line perpendicular to through point . Draw segments and .
C
Construct the perpendicular bisector of segment . Mark the intersection of this line and and label it . Draw segments and .
D
Construct the perpendicular bisector of segment . Mark any point on the perpendicular bisector except where it intersects . Draw segments and .

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Select all true statements about regular polygons.

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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.

IM Geo.1.9 Practice: Speedy Delivery

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

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

This diagram is a straightedge and compass construction.

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