{"id":571,"date":"2025-05-08T05:09:32","date_gmt":"2025-05-08T05:09:32","guid":{"rendered":"https:\/\/yaveni.com\/blog\/?p=571"},"modified":"2025-05-08T05:09:33","modified_gmt":"2025-05-08T05:09:33","slug":"which-statement-about-the-transformation-is-true","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/which-statement-about-the-transformation-is-true\/","title":{"rendered":"Which statement about the transformation is true"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">Which statement about the transformation is true? <\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A It is rigid because all side lengths and angles are congruent. <\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B It is rigid because no side lengths or angles are congruent. <\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C It is nonrigid because all side lengths are congruent.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"> D It is nonrigid because no side lengths or angles are congruent.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\"><strong>The correct answer and explanation is :<\/strong><\/mark><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">The correct answer is: <strong>A. It is rigid because all side lengths and angles are congruent.<\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation (300 words):<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">In geometry, a <strong>transformation<\/strong> refers to a change in the position, size, or shape of a figure. There are two main categories of transformations: <strong>rigid<\/strong> and <strong>nonrigid<\/strong>.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A <strong>rigid transformation<\/strong> (also called an <strong>isometry<\/strong>) preserves the size and shape of a figure. That means the lengths of the sides and the measures of the angles in the figure stay exactly the same after the transformation. Examples of rigid transformations include:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Translation<\/strong>: sliding a shape without rotating or flipping it.<\/li>\n\n\n\n<li><strong>Rotation<\/strong>: turning a shape around a fixed point.<\/li>\n\n\n\n<li><strong>Reflection<\/strong>: flipping a shape over a line (mirror image).<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">Under these rigid motions, the image (new figure) is <strong>congruent<\/strong> to the original figure. &#8220;Congruent&#8221; means that all corresponding sides and angles are equal in measure.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">In contrast, a <strong>nonrigid transformation<\/strong> changes the size or proportions of the shape. This includes transformations like:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Dilation<\/strong>: resizing a figure larger or smaller from a center point.<\/li>\n\n\n\n<li><strong>Shearing or stretching<\/strong>: distorting the figure&#8217;s shape.<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">In nonrigid transformations, the image is <strong>not congruent<\/strong> to the original figure because either side lengths, angles, or both change.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Now, let\u2019s examine the answer choices:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Choice A<\/strong> states the transformation is rigid <strong>because all side lengths and angles are congruent<\/strong>\u2014this matches the definition of a rigid transformation and is correct.<\/li>\n\n\n\n<li><strong>Choice B<\/strong> contradicts itself: it claims rigidity but says no sides or angles are congruent.<\/li>\n\n\n\n<li><strong>Choice C<\/strong> says it\u2019s nonrigid even though all sides are congruent\u2014but ignores the angles, which matter too.<\/li>\n\n\n\n<li><strong>Choice D<\/strong> is only correct if the transformation changed both side lengths and angles\u2014but that would be nonrigid, not rigid.<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">Therefore, <strong>Choice A<\/strong> correctly describes a rigid transformation.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Which statement about the transformation is true? A It is rigid because all side lengths and angles are congruent. B It is rigid because no side lengths or angles are congruent. C It is nonrigid because all side lengths are congruent. D It is nonrigid because no side lengths or angles are congruent. The correct [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[],"tags":[],"class_list":["post-571","post","type-post","status-publish","format-standard","hentry"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/571","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=571"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/571\/revisions"}],"predecessor-version":[{"id":572,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/571\/revisions\/572"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=571"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=571"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=571"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}