In the following figure if XY is the mirror, then $△ A B C$ congruent to $△ A B^{'} C^{'}$ .

True

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False

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Solution

The correct option is A
True

Given, XY is a mirror.

Then $△ A B^{'} C^{'}$ is the mirror image of $△ A B C$ .

Hence all the sides and angles of $△ A B^{'} C^{'}$ are equal to the respective sides and angles $△ A B C$ .

Therefore $△ A B C$ is congruent to $△ A B^{'} C^{'}$ .

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Similar questions

In the following figure if XY is the mirror, then $△ A B C$ congruent to $△ A B^{'} C^{'}$ .

if XY is the mirror, which among the given options is congruent to the following triangle ABC?

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

The following triangle ABC is rotated through $90^{\circ}$ 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.

Q. Write True / False for the following statement:
Any two congruent figure are similar.

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In the following figure if XY is the mirror, then △ABC congruent to △AB′C′.

The correct option is A True Given, XY is a mirror. Then △AB′C′ is the mirror image of △ABC. Hence all the sides and angles of △AB′C′ are equal to the respective sides and angles △ABC. Therefore △ABC is congruent to △AB′C′.

In the following figure if XY is the mirror, then $△ A B C$ congruent to $△ A B^{'} C^{'}$ .

The correct option is A
True

Given, XY is a mirror.

Then $△ A B^{'} C^{'}$ is the mirror image of $△ A B C$ .

Hence all the sides and angles of $△ A B^{'} C^{'}$ are equal to the respective sides and angles $△ A B C$ .

Therefore $△ A B C$ is congruent to $△ A B^{'} C^{'}$ .