If AB is parallel to CD then $△$ ABO should be congruent to $△$ CDO always.

Arjun: They will be congruent always.

Rahul: They may or may not be congruent.

Choose the correct option.

Arjun is correct

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Rahul is correct

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Both of them are correct

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Both of them are wrong

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Solution

The correct option is B
Rahul is correct

Nothing is given or can be said about any of the corresponding sides in this case, As, AAA is not a rule for congruency, the triangles formed may or may not be congruent, depending on if the corresponding parts are equal or not.

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Similar questions

(a) If all the sides of a triangle are equal to the sides of another triangle, will both the triangles be congruent to each other?

(b) If AB is parallel to CD then $△$ ABO should be congruent to $△$ CDO always. Is this right? [2 MARKS]

Q. Given below are sets of two sentences. Both sentences may be right or both wrong or one of the two may be right. Select the correct option.

P. She told them that had enjoyed every moment of her visit.
Q. He said them that they must come to his wedding without fail.

Rahul was trying to make a paper toy and started with folding an A4 sized paper along the diagonal. He then noticed that there were two triangles formed. Arjun was saying that the two triangles formed are congruent to each other. But then Rahul noticed that they aren’t superimposing on each other, he says that the triangles aren’t congruent.

What are the conditions for a triangle to be congruent?

Statement 1: If two figures A and B are congruent, then they must have equal area.

Statement 2: If two figures A and B have equal area, then they must be congruent.

Q. If ∆𝐿𝑀𝑁 is congruent to ∆𝑃𝑄𝑅, then which of the following may not be true?

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If AB is parallel to CD then △ABO should be congruent to △CDO always. Arjun: They will be congruent always. Rahul: They may or may not be congruent. Choose the correct option.

The correct option is B Rahul is correct Nothing is given or can be said about any of the corresponding sides in this case, As, AAA is not a rule for congruency, the triangles formed may or may not be congruent, depending on if the corresponding parts are equal or not.

If AB is parallel to CD then $△$ ABO should be congruent to $△$ CDO always.

Arjun: They will be congruent always.

Rahul: They may or may not be congruent.

Choose the correct option.

The correct option is B
Rahul is correct

Nothing is given or can be said about any of the corresponding sides in this case, As, AAA is not a rule for congruency, the triangles formed may or may not be congruent, depending on if the corresponding parts are equal or not.