Today in Geometry I asked students to draw a line then create another parallel to it.
There were a lot of crazy constructions.
Some students drew a line then used the opposite side of the straight edge to construct a parallel line. Others copied angles or used an insane amount of circles. Here’s one of those methods:
*Students were using a straight edge and compass
Start with a line segment
Construct a circle whose radius spans more than half the segment.
Copy that same circle, this time centered and the other endpoint. (they just made a perpendicular bisector…)
Copy the same circle again, but make it just touch point B and do the same for the A side also.
There are a few points that I am uneasy with here but this particular student created a parallel line; doing exactly what they were asked to do. They also created an isosceles trapezoid, which is pretty awesome.
Here is the big question… if this method were used on a test would you mark it correct?