What single transformation proves congruence between the two figures? Enter 1 for translation, 2 for reflection, 3 for rotation, or 4 for dilation.
To determine which single transformation proves congruence between two figures, we need to analyze their similarities and differences. If the two figures have the same shape and size, they are congruent.
1) Translation involves moving a figure along a straight line without changing its size or shape. This transformation is not sufficient to prove congruence if the figures have different shapes or sizes.
2) Reflection is the transformation that flips a figure over a line, creating a mirror image. If the two figures are mirror images of each other, they are congruent.
3) Rotation involves turning a figure around a fixed point by a certain angle. If the two figures can be obtained from each other by rotating, they are congruent.
4) Dilation changes the size of the figure without altering its shape. If the two figures have the same shape and can be obtained by enlarging or shrinking, they are congruent.
Given the information provided in the question, without any specific details about the figures, it is impossible to determine which single transformation proves congruence.