HELP PLEASE! Square T was translated by the rule (x + 2, y + 2) and then dilated from the origin by a scale factor of 3 to create square T″. Which statement explains why the squares are similar?A. Translations and dilations preserve side length; therefore, the corresponding sides of squares T and T″ are congruent.B. Translations and dilations preserve orientation; therefore, the corresponding angles of squares T and T″ are congruent.C. Translations and dilations preserve betweenness of points; therefore, the corresponding sides of squares T and T″ are proportional.D. Translations and dilations preserve collinearity; therefore, the corresponding angles of squares T and T″ are congruent.

The statement that explains why the squares are similar isOption C. Translations and dilations preserve betweenness of points; therefore, the corresponding sides of squares T and T″ are proportional.Further explanationThere are several types of transformations:TranslationReflectionRotationDilationLet us now tackle the problem![tex]\texttt{ }[/tex]This problem is about Translation and Dilation.Properties of Translation of the images compared to pre-images:preserve Side Lengthpreserve Orientationpreserve Collinearitypreserve Betweenness of Points[tex]\texttt{ }[/tex]Properties of Dilation of the images compared to pre-images:not preserve Side Lengthnot preserve Orientationpreserve Collinearitypreserve Betweenness of Points[tex]\texttt{ }[/tex]From the information above, we can conclude that:Option A is not true because Dilations do not preserve side length.Option B is not true because Dilations do not preserve orientation.Option C is true because Translations and Dilations preserve betweenness of points.Option D is not true. Although Translation and Dilations preserve collinearity but it cannot be related to the corresponding angles are congruent.[tex]\texttt{ }[/tex]Learn moreInverse of Function : of Change : of Function : : of Graph : Of 2 Functions : detailsGrade: High SchoolSubject: MathematicsChapter: TransformationKeywords: Function , Trigonometric , Linear , Quadratic , Translation , Reflection , Rotation , Dilation , Graph , Vertex , Vertices , Triangle