MATH SOLVE

2 months ago

Q:
# 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.

Accepted Solution

A:

Answer: OPTION C.Step-by-step explanation: It is important to know the following: Dilation: Transformation in which the image has the same shape as the pre-image, but the size changes. Dilation preserves betweenness of points. Angle measures do not change. Translation: Transformation in which the image is the same size and shape as the pre-image. Translation preserves betweenness of points. Angle measures do not change. Therefore, since the Square T was translated and then dilated to create Square T'', we can conclude that the statement that explains why they are similar is: Translations and dilations preserve betweenness of points; therefore, the corresponding sides of squares T and T″ are proportional.