Geometric Constructions

In this activity, you will be doing the same constructions you did with a compass and a straightedge but you will use technology (Geogebra) to perform your constructions.

#1 Copy a Segment

Copy a Segment

1) Using the [b][color=#0000ff]Distance or Length[/color] [/b]tool, find AB.[br]2) Using the [b][color=#0000ff]Point[/color] [/b]tool, construct point C.[br]3) Using the [b][color=#0000ff]Segment with Given Length[/color] [/b]tool, construct a segment CD that is congruent to AB.[br]

#2 Copy an Angle

Copy an Angle

1) Using the [color=#0000ff][b]Angle[/b] [/color]tool, measure angle CBA.[br]2) Using the [b][color=#0000ff]Angle with Given Size[/color][/b] tool, choose E then D and enter the size of angle CBA[br]3) Construct Ray DE'

#3 Midpoint/Bisector

Explore the available tools and use them to construct a line that bisects segment AB.

#4 Angle Bisector

Explore the available tools and use them to construct the angle bisector of [math]\angle[/math]ABC.

#5 Perpendicular Bisector

Explore the available tools and use them to construct the perpendicular bisector of segment AB.

#6 Line parallel to a Given line through a point not on the line

Explore the available tools and use them to construct a line parallel to line AB that passes through point C.