Learn about the superpowers of the only type of quadrilateral that can fly. There may or may not also be lasers involved.
Do you know what an aperture is? Your iris is basically one, dilating open and closed to let in more or less light, depending on the Sun's particular demeanor for a given day. Film cameras also have apertures that mimic your eye, letting in enough light to expose an image on a piece of photosensitive film. Open this file in Geometer's Sketchpad to quickly, mindbogglingly discover the sum of one set of exterior angles for any polygon based upon that same concept of an aperture. (Also, the cake is a lie.)
Geometry 4(A) distinguish between undefined terms, definitions, postulates, conjectures, and theorems
Geometry 5(A) investigate patterns to make conjectures about geometric relationships, including angles formed by parallel lines cut by a transversal, criteria required for triangle congruence, special segments of triangles, diagonals of quadrilaterals, interior and exterior angles of polygons, and special segments and angles of circles choosing from a variety of tools
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) use the constructions of congruent segments, congruent angles, angle bisectors, and perpendicular bisectors to make conjectures about geometric relationships
Geometry 11(B) determine the area of composite two-dimensional figures comprised of a combination of triangles, parallelograms, trapezoids, kites, regular polygons, or sectors of circles to solve problems using appropriate units of measure