Contrary to popular belief, compass and straightedge constructions are not products of dark wizardry. Thus, the purpose of this project, in addition to providing you with yet another opportunity to expertly wield your compass and straightedge in a classically Greek setting, is to dispel this myth of black magic, to disentangle the skein of the supernatural that has choked this subject for two or three millennia[citation needed]. As befitting a math class that holds rationality in such high esteem, you will be filling the void left by the rumor of magic with the rigor of reason.

Copying a Segment

Duration_2_14

Perpendicular Bisector

Duration_1_38

Copying an Angle

Duration_2_25

Bisecting an Angle

Duration_2_16

Constructing Parallel Lines

Based on congruent corresponding angles. Duration_3_07

Constructing a Perpendicular Line

Through a point not on the line. Duration_2_24

Constructing a Perpendicular Line

Through a point on the line. Duration_2_20

Geometry 3(B) determine the image or pre-image of a given two-dimensional figure under a composition of rigid transformations, a composition of non-rigid transformations, and a composition of both, including dilations where the center can be any point in the plane

Geometry 5(B) construct congruent segments, congruent angles, a segment bisector, an angle bisector, perpendicular lines, the perpendicular bisector of a line segment, and a line parallel to a given line through a point not on a line using a compass and a straightedge

Geometry 5(C) verify the Triangle Inequality theorem using constructions and apply the theorem to solve problems.

Geometry 6(B) prove two triangles are congruent by applying the Side-Angle-Side, Angle-Side-Angle,Side-Side-Side, Angle-Angle-Side, and Hypotenuse-Leg congruence conditions