When you translate, reflect, or rotate a figure, is the new figure congruent to the original figure? Why or why not?

Question

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Answer 1

Yes, the new figure is congruent to the original figure when you translate, reflect, or rotate it.

Congruent figures are those that have the same shape and size. Transformations such as translation (sliding the figure without rotating or flipping it), reflection (flipping the figure over a line), and rotation (turning the figure around a point) do not change the dimensions or angles of the figure. They merely change the position or orientation of the figure in the plane.

Since these transformations preserve lengths and angles, the original figure and the transformed figure remain congruent. Thus, the new figure retains all the properties of the original one, confirming congruency.