Consider the following statements:
Statement 1: All similar triangles are congruent.
Statement 2: All congruent triangles are similar.

Both statements 1 and 2 are correct.

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Both statements 1 and 2 are incorrect.

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Statement 1 is correct but statement 2 is incorrect.

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Statement 1 is incorrect but statement 2 is correct.

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Solution

The correct option is D Statement 1 is incorrect but statement 2 is correct.
Similar triangles have same shape while congruent traingles have same shape and same size.
Hence, all congruents triangles are similar but all similar traingles are not congruent.

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Consider the following statements: Statement 1: All similar triangles are congruent. Statement 2: All congruent triangles are similar.

The correct option is D Statement 1 is incorrect but statement 2 is correct.Similar triangles have same shape while congruent traingles have same shape and same size. Hence, all congruents triangles are similar but all similar traingles are not congruent.

Consider the following statements:
Statement 1: All similar triangles are congruent.
Statement 2: All congruent triangles are similar.

The correct option is D Statement 1 is incorrect but statement 2 is correct.
Similar triangles have same shape while congruent traingles have same shape and same size.
Hence, all congruents triangles are similar but all similar traingles are not congruent.