Question

holly wrote the statement polygon rstuv is regular if it has congruent sides and congruent angles. which statements are true regarding her work? choose three correct answers. it is a conditional statement. an equivalent statement is \if polygon rstuv has congruent sides, then it has congruent angles.\ the conclusion of the statement is \polygon rstuv is regular.\ the hypothesis of the statement is \it has congruent sides and congruent angles.\ the statement cannot be proven true or false.

Explanation:

1. A conditional statement has an "if - then" structure. The given statement "Polygon RSTUV is regular if it has congruent sides and congruent angles" is in conditional form.
2. In a conditional statement "if p then q", p is the hypothesis and q is the conclusion. Here, "it has congruent sides and congruent angles" is the hypothesis and "Polygon RSTUV is regular" is the conclusion.
3. This is a definition - like statement in geometry and cannot be proven true or false in the traditional sense of a theorem to be proved, as it is a statement of what it means for a polygon to be regular.

Answer:

1. It is a conditional statement.
2. The conclusion of the statement is "Polygon RSTUV is regular."
3. The statement cannot be proven true or false.