Question

Among the four options, which one can be formed from the cut out pieces given below?

• A. Option 1
• B. Option 2
• C. Option 3
• D. Option 4

Answer 1

The Correct Option is C

Concept:

• To check whether a set of cut-out pieces can form a given shape, match every piece's edges (length and angle) to a corresponding edge inside the assembled figure, so that all the pieces fit together with no gaps, no overlaps and nothing left over.
• The number of internal regions in the assembled option must equal the number of pieces given.

Step 1: Count and note the given pieces.
The pieces given are: one small triangle, one small square, one trapezoid-shaped quadrilateral, one irregular quadrilateral, and one larger right triangle - five pieces in total.

Step 2: Check the number of regions in each option.
In the correct assembly, the outer square boundary must be divided internally into exactly five regions, one for each of the five given pieces.

Step 3: Check that each region's shape matches a given piece.
In three of the four options, the internal lines either create the wrong number of regions or create a region whose angles or side lengths do not correspond to any of the five given pieces, so at least one cut piece would not fit as drawn.

Step 4: Confirm the correct assembly.
One option's internal divisions correspond exactly, piece for piece, to the triangle, square, trapezoid, irregular quadrilateral and larger triangle that were given.

Final Answer: Option 3