NJPEP: Virtual Academy (New Jersey Professional Education Port)

Standard 2, Strand A

The figures below are either right triangles or rectangles.

Which shapes can be placed together, without overlap, to form a square? Each of your figures may be used only once.

A. II and III
B. I, II, and III
C. II, III, and IV
D. I and IV

	The correct answer is C.
Rationale:
The correct answer is C. By definition a square has 4 congruent sides. Only by rotating and combining pieces II, III, and IV can a figure be constructed that meets this qualification. Either Figure II or Figure III must be flipped over to form the square.