Question

a statement is given: if a figure is a square, then it is a rectangle with four congruent sides. what is the converse of this statement? if a figure is a square, then it is a rectangle. if a figure is not a square, then it is not a rectangle with four congruent sides. if a figure is not a rectangle with four congruent sides, then it is not a square. if a figure is a rectangle with four congruent sides, then it is a square. question 4 2 pts which of the following is an example of a biconditional statement? if an angle is not 90 degrees then it is not a right angle. if a triangle is an isosceles triangle, then the triangle has two congruent sides. a polygon is a regular polygon if and only if all of its sides are congruent and all of its angles are congruent. if a polygon has three sides, then it is a triangle.

Explanation:

1. For the first question, the converse of a conditional statement "If p, then q" is "If q, then p". Here, p is "a figure is a square" and q is "it is a rectangle with four congruent sides". So the converse is "If a figure is a rectangle with four congruent sides, then it is a square".
2. For the second question, a biconditional statement is of the form "p if and only if q". Among the options, "A polygon is a regular polygon if and only if all of its sides are congruent and all of its angles are congruent" is in the biconditional form.

Answer:

1. If a figure is a rectangle with four congruent sides, then it is a square
2. A polygon is a regular polygon if and only if all of its sides are congruent and all of its angles are congruent