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″.

Question

3 years ago

13

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.

Mathematics

2 answers:

Irina-Kira [14] · Answer 1 · 2022-01-22T03:56:00+03:00

Irina-Kira [14]3 years ago

8 0

Answer:

C. Translations and dilations preserve betweenness of points; therefore, the corresponding sides of squares T and T″ are proportional.

Step-by-step explanation:

Delicious77 [7] · Answer 2 · 2022-01-22T02:04:03+03:00

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.