TEQ – Coordinate Geometry
Since the slopes of the opposite sides of ABCD are equal, they are parallel. Since the opposite sides of ABCD are parallel, then ABCD is a parallelogram. Since the slopes of consecutive sides of ABCD are NOT negative reciprocals, they are not perpendicular. Thus, no right angles are formed and ABCD is not a rectangle.
Since two sides of JEN are congruent, JEN is isosceles. Since two consecutive sides of JEN have negative reciprocal slopes, then they are perpendicular. Since they are perpendicular, they form a right angle making JEN a right triangle.
Since the slopes of the opposite sides of ADEF are equal, they are parallel. Since the opposite sides of ADEF are parallel, then ADEF is a parallelogram.
Since two consecutive sides of ADEF are not congruent, ADEF is not a rhombus.
Since the slopes of RA and PT are equal, they are parallel.