Question

Which three of the given can be added to get a rectangular figure?

• A. A, B, C
• B. B, C, E
• C. B, D, E
• D. A, D, E

Answer 1

The Correct Option is C

To solve this problem, first we need to define what constitutes a rectangular figure. A rectangular figure has four right angles and opposite sides are equal in length and parallel. To determine which three shapes can form a rectangular figure, consider their properties and potential to combine into such a figure.

Solution:

1. Identify the given options for combining shapes: A, B, C; B, C, E; B, D, E; A, D, E.
2. Evaluate the lengths and angles of each option to check if they can form a rectangle.
3. Option B, D, E must be assessed: they allow for opposite sides to be parallel and equal, fitting together to form four right angles. Specifically:
   • Shape B may serve as one set of opposite sides.
   • Shape D can provide the connecting edges that lead to right angles at each corner.
   • Shape E can complement by filling the remaining sides to complete the rectangle.

Thus, the combination of shapes B, D, and E forms a rectangular figure. This is because the shape arrangement allows for opposite sides being parallel and equal, with connecting angles ensuring right angles are present. Other options do not satisfy all conditions for constructing a rectangular figure. Therefore, the correct answer is B, D, E.