Which biconditional statement is true? a shape is a rectangle if and only if the shape has exactly four sides and four right angles. a shape is a trapezoid if and only if the shape has a pair of parallel sides. a shape is a triangle if and only if the shape has three sides and three acute angles. a shape is a square if and only if the shape has exactly four congruent sides.

Option A.

Step-by-step explanation:

Biconditional statement : If both a conditional statement and  its converse statement is true then it known as a bi-conditional statement.

Statement 1: A shape is a rectangle if and only if the shape has exactly four sides and four right angles. It is a biconditional statement because if the shape has exactly four sides and four right angles, then it must be a square or a rectangles and square is a special case of rectangle.

Statement 2: A shape is a trapezoid if and only if the shape has a pair of parallel sides.

If a shape has a pair of parallel sides then it can be a parallelogram.

Statement 3: A shape is a triangle if and only if the shape has three sides and three acute angles.

If a shape has three sides and three acute angles then it show an acute triangle.

Statement 4: A shape is a square if and only if the shape has exactly four congruent sides.

If a shape has exactly four congruent sides then it can also be rhombus.

So, the statements 2, 3 and 4 are not biconditional statements.

Therefore, the correct option is A.

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step-by-step explanation:

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