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Which statement is true about the similarity of two squares of different sizes, ABCD and WXYZ?

A) ABCD can be carried onto WXYZ using only dilation.
B) ABCD can be carried onto WXYZ using only rotation.
C) ABCD can be carried onto WXYZ using only reflection.
D) ABCD can be carried onto WXYZ using only translation.

Answer :

Final answer:

The correct answer to the question is, a square ABCD can be converted into a square WXYZ of different size using only dilation. Dilation is a transformation in geometry that alters the size of a shape but maintains its original shape and angles.

Explanation:

The correct answer to this question is Option A: ABCD can be carried onto WXYZ using only dilation. In geometry, similarity refers to the comparison of two shapes where one can change into the other through resizing, known as dilation, but not rotation, reflection, or translation. Since we're dealing with squares ABCD and WXYZ of different sizes, transformation through dilation is the right choice. The length of the sides and the angles will remain the same, but the size will change.

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