Question

question 24 of 39
which transformation can not be used to prove that \\( \triangle a b c \\) is congruent to \\( \triangle d e f \\) ?
a. reflection
b. translation
c. dilation

Explanation:

Step1: Understand congruent triangles

Congruent triangles have the same shape and size.

Step2: Analyze each transformation

• Reflection: A reflection flips a figure over a line. It does not change the size or shape of the figure. So, if \(\triangle ABC\) is reflected, the image will be congruent to \(\triangle ABC\).
• Translation: A translation slides a figure. It does not change the size or shape of the figure. So, if \(\triangle ABC\) is translated, the image will be congruent to \(\triangle ABC\).
• Dilation: A dilation resizes a figure. If the scale factor is not \(1\), the size of the figure changes. Since congruent triangles must have the same size, a dilation (unless scale factor \( = 1\), but no indication of that here) cannot be used to prove \(\triangle ABC\cong\triangle DEF\) as it can change the size of the triangle.

Answer:

C. dilation