IM Geo.1.9 Practice: Speedy Delivery

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

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

Vink alles aan wat van toepassing is

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.

Vink alles aan wat van toepassing is

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 .

Controleer mijn antwoord (3)

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 ?

Vink alles aan wat van toepassing is

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 .

Controleer mijn antwoord (3)

Select all true statements about regular polygons.

Vink alles aan wat van toepassing is

Controleer mijn antwoord (3)

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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