Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

28. what is the converse of the following statement: \if a figure is a …

Question

  1. what is the converse of the following statement: \if a figure is a rectangle, then it has four right angles.\? if a figure has four right angles, then it is a rectangle. if a figure doesnt have four right angles, then its not a rectangle. if a figure is not a rectangle, then it doesnt have four right angles. if a figure has four right angles, then it is not a rectangle.

Explanation:

Brief Explanations

The converse of a conditional statement "If p, then q" is "If q, then p". Here, p is "a figure is a rectangle" and q is "it has four right - angles". So the converse is formed by switching the hypothesis and the conclusion.

Answer:

If a figure has four right angles, then it is a rectangle.