The following triangle ABC is rotated through 90∘ in anti-clockwise direction and then reflected through a vertical mirror. Then the mirror image hence obtained is not congruent to the initially taken triangle ABC.
The following triangle ABC is rotated through 90∘ in anti-clockwise direction and then reflected through a vertical mirror. Then the mirror image hence obtained is not congruent to the initially taken triangle ABC.
The correct option is B False
Triangle ABC, as shown in [I] is rotated through 90∘ in anti-clockwise direction to get [II]. Note that this rotation changes neither the size nor the shape of triangle ABC. i.e. all the angles and the lengths of sides of triangle ABC remain the same. Now, image [II] is reflected through a vertical mirror to get [III]. Also this reflection does not affect the shape and size of image [II].
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.
Hence images [I] and [II] are congruent to each other.
Therefore the given statement is false.
False
Triangle ABC, as shown in [I] is rotated through 90∘ in anti-clockwise direction to get [II]. Note that this rotation changes neither the size nor the shape of triangle ABC. i.e. all the angles and the lengths of sides of triangle ABC remain the same. Now, image [II] is reflected through a vertical mirror to get [III]. Also this reflection does not affect the shape and size of image [II].
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.
Hence images [I] and [II] are congruent to each other.
Therefore the given statement is false.
