A translation always produces ____ figure
Bigger
Congruent
Smaller
The correct answer and explanation is:
The correct answer is Congruent.
A translation is a type of transformation in geometry where a figure is shifted from one position to another without changing its size, shape, or orientation. This means that the pre-image and the image after translation are identical in size and shape. Therefore, the translated figure is congruent to the original figure.
When a translation occurs, each point of the figure moves the same distance in the same direction. This movement does not alter the internal angles, side lengths, or overall proportions of the figure, which are characteristics that define congruence in geometry.
In contrast, transformations like dilation can change the size of a figure, either making it larger or smaller. However, translation specifically preserves all the original properties of the figure, ensuring that the two figures (the original and the translated) are congruent.
To summarize, when a translation occurs, the resulting figure maintains all the properties of the original, making it congruent.