Select the alternative which represents three out of the five alternative…

Concept:

When five candidate pieces are offered for a square that has been cut by two straight lines meeting at one interior point, exactly three of the five are genuine pieces of that square, matching in both side-length proportion and interior angle (including which pieces are convex and which carry a reflex/concave notch); the other two are look-alike decoys that resemble a genuine piece at a glance but differ in their exact proportions.

Application:

• Figure (1) is the convex, kite-shaped piece that runs the full height of the square - its pair of near-equal angles and its longest-to-shortest side proportion match the square's full-height piece exactly.

• Figure (2) is the short concave piece with a wide reflex notch and two shorter sides meeting close to a right angle - it matches the square's bottom-right concave piece.

• Figure (4) is the long, narrow, arrow-shaped concave sliver - its side is nearly three times its shortest side, matching the square's remaining elongated concave piece.

Placed edge-to-edge, figures (1), (2) and (4) close up with no gap or overlap and reconstruct the complete square shown in the figure.

Why the other figures do not fit:

• Figure (3) mimics the same pair of near-equal angles as figure (1) but is noticeably shorter and less elongated in its side proportions, so it leaves a gap instead of closing the square.

• Figure (5) mimics the long arrow shape of figure (4) but is proportionally shorter and wider, so it too fails to complete the square.