Correct Answer:<\/h3>\n\n\n\n
The inverse<\/strong> of the statement “All quadrilaterals have four sides” is:<\/p>\n\n\n\n “If a figure is not a quadrilateral, then it does not have four sides.”<\/strong><\/p>\n\n\n\n To understand how to form the inverse of a logical statement, we need to examine its structure closely. The given statement is:<\/p>\n\n\n\n “All quadrilaterals have four sides.”<\/strong><\/p>\n\n\n\n This is a universal affirmative statement, and it can be rewritten in conditional (if-then) form for clarity:<\/p>\n\n\n\n “If a figure is a quadrilateral, then it has four sides.”<\/strong><\/p>\n\n\n\n This type of sentence follows a standard logical structure:<\/p>\n\n\n\n The inverse<\/strong> of a conditional statement is formed by negating both the hypothesis (P<\/em>) and the conclusion (Q<\/em>) of the original statement:<\/p>\n\n\n\n This is exactly what we found earlier.<\/p>\n\n\n\n It is important to note that the truth of a statement does not automatically imply the truth of its inverse. Just because the original is true (all quadrilaterals have four sides), the inverse is not necessarily<\/strong> true. There are non-quadrilateral figures that also have four sides \u2014 for example, a four-sided figure that is not closed might not be considered a quadrilateral, depending on context. However, figures like trapezoids and rectangles, which are quadrilaterals, certainly have four sides.<\/p>\n\n\n\n To summarize:<\/p>\n\n\n\n Consider the statement, “All quadrilaterals have four sides.” Its inverse is The Correct Answer and Explanation is: Correct Answer: The inverse of the statement “All quadrilaterals have four sides” is: “If a figure is not a quadrilateral, then it does not have four sides.” Explanation To understand how to form the inverse of a logical […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-27733","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/27733","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/comments?post=27733"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/27733\/revisions"}],"predecessor-version":[{"id":27735,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/27733\/revisions\/27735"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=27733"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=27733"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=27733"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
\n\n\n\nExplanation<\/h3>\n\n\n\n
\n
\u2003\u2003\u2003\u2003\u2003\u2003\u2003\u2003\u2003\u2003\u2003\u2003\u2003(P = “a figure is a quadrilateral”, Q = “it has four sides”)<\/li>\n<\/ul>\n\n\n\n\n
\u2003\u2003\u2003\u2003\u2003\u2003\u2003= “If a figure is not<\/strong> a quadrilateral, then it does not<\/strong> have four sides.”<\/li>\n<\/ul>\n\n\n\n\n
\u2003“If a figure is not a quadrilateral, then it does not have four sides.”<\/strong><\/li>\n<\/ul>\n\n\n\n![\"\"](\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-176.jpeg\")
<\/figure>\n","protected":false},"excerpt":{"rendered":"