Triangle ABC is reflected through the mirror XY as shown in the figure. Then which among the given options is congruent to triangle ABC?

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Solution

The correct option is A

Option (a) is the mirror image of given triangle ABC.

We note that the rotations and reflections of any polygon do not change its shape and size.

Also, we know that two polygons are congruent if they are of the same size and shape - that is, if their corresponding angles and sides are equal.

Therefore option (a), which is the mirror image of triangle ABC is congruent it.

Options (b), (c) and (d) are not congruent to triangle ABC as they differ in the size and shape when compared to triangle ABC.

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