State if the following is true or false.

All triangles are similar.

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True

False

answer is B.

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Detailed Solution

We need to find whether all triangles are similar.
Consider two right-angled triangles ABC and PQR with the angles

∠ A = 40 °

∠ B = 90 °

∠ C = 50 °

and

∠ P = 45 °

∠ Q = 90 °

, and

∠ R = 45 °

respectively.
We can see that both the triangles are right-angled triangles but their corresponding angles ∠A and ∠P and ∠C and ∠R are not equal.
Therefore, they are not similar.
Therefore, the statement is false.
Option 2 is correct.

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