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kirill
1 month 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:
Zina [12.3K]1 month ago
8 0

Answer:

C. The properties of translations and dilations maintain the relative positioning of points; thus, the sides of squares T and T″ are in proportion.

Step-by-step explanation:

AnnZ [12.3K]1 month ago
6 0

Answer: OPTION C.

Step-by-step explanation:

It is essential to consider the following:

Dilation:

  • A transformation where the image retains the same shape as the original but differs in size.
  • Dilation maintains the order of points.
  •  Measurements of angles remain unchanged.

Translation:

  • A transformation that keeps the image identical in size and shape to the original.
  • Translation preserves the ordering of points.
  • The angle measurements do not change.

Consequently, since Square T underwent translation followed by dilation to form Square T'', we conclude that the rationale explaining why they are similar is:

Translations and dilations maintain the order of points; thereby, the corresponding sides of squares T and T″ are proportional.

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