Consider the following statements:
1. If two triangles are equiangular, then they are similar.
2. If two triangles have equal area, then they are similar.
Which of the statements given above is/are correct?

1

only

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2

only

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Both

1

and

2

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Neither

1

and

2

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Solution

The correct option is D $1$ only
If triangle is equiangular then by AAA property they are similar
2 dissimilar triangle can also have same area

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Similar questions

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.

Consider the following two statements:
Statement - 1: If two figures have same shape and same size then they are called congruent.
Statement - 2: If two figures have equal area they are called congruent.
Now, choose the correct option.

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. Statement 1: In two triangles, if two corresponding angles are equal, it’s not required to check whether the ratio of their corresponding sides is equal or not to state whether they are similar.
Statement 2: When two triangles are similar, the ratio of their corresponding sides is equal.

Q. Which of the following statements are true and which are false;
(i) All squares are congruent.
(ii) If two squares have equal areas, they are congruent.
(iii) If two rectangles have equal area, they are congruent.
(iv) If two triangles are equal in area, they are congruent.

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Consider the following statements:1. If two triangles are equiangular, then they are similar.2. If two triangles have equal area, then they are similar.Which of the statements given above is/are correct?

The correct option is D 1 onlyIf triangle is equiangular then by AAA property they are similar2 dissimilar triangle can also have same area

Consider the following statements:
1. If two triangles are equiangular, then they are similar.
2. If two triangles have equal area, then they are similar.
Which of the statements given above is/are correct?

The correct option is D $1$ only
If triangle is equiangular then by AAA property they are similar
2 dissimilar triangle can also have same area