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.
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.
<u>Translation:</u>
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:
<em>Translations and dilations preserve betweenness of points; therefore, the corresponding sides of squares T and T″ are proportional.</em>
