Question

directions: select all the best responses. given the biconditional statement: a figure is a square if and only if it is a rectangle with four congruent sides. select all of the following that would have to be true in order for the biconditional statement to be true. a square has four right angles. a rectangle with four congruent sides is a square. a rectangle with four congruent sides is a rhombus. a square is a rectangle with four congruent sides. true for the biconditional statement to be true.

Explanation:

Step1: Recall definitions

A square is defined as a rectangle with four - congruent sides. A rectangle has four right angles. A rhombus is a rectangle with four congruent sides.

Step2: Analyze biconditional

The biconditional "A figure is a square if and only if it is a rectangle with four congruent sides" is based on the definition of a square.

Step3: Evaluate statements

• "A square is a rectangle with four congruent sides" is True as per the definition of a square.
• "A rectangle with four congruent sides is a square" is True as it is the reverse of the definition.
• "A square has four right angles" is True but not directly related to the biconditional about the relationship between square and rectangle with four congruent sides.
• "A rectangle with four congruent sides is a rhombus" is True but not relevant to the given biconditional about square and rectangle.

Answer:

A. A square is a rectangle with four congruent sides.
B. A rectangle with four congruent sides is a square.