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 Distance or Length tool, find AB. 2) Using the Point tool, construct point C. 3) Using the Segment with Given Length tool, construct a segment CD that is congruent to AB.

#2 Copy an Angle

Copy an Angle

1) Using the Angle tool, measure angle CBA. 2) Using the Angle with Given Size tool, choose E then D and enter the size of angle CBA 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

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.