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Any two triangles can be considered similar shapes.

Question

Any two triangles can be considered similar shapes.

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Solution

This statement is not entirely correct. Two triangles can be considered similar shapes only if their corresponding angles are equal and their corresponding sides are proportional. This is based on the principle of similarity in geometry. So, not "any" two triangles can be considered similar, only those that meet these specific conditions.

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Explain why two triangles with two pairs of equal angles must be similar.

Match the definition to the correct vocabulary word.Two pairs of proportional sides and a pair of equal included angles determine similar triangles.Answer 1 Question 57If two pairs of corresponding angles in a pair of triangles are congruent, then the triangles are similar. We know this because if two angle pairs are the same, then the third pair must also be equal. When the three angle pairs are all equal, the three pairs of sides must also be in proportion.Answer 2 Question 57If all three pairs of sides of corresponding triangles are in proportion, the triangles are similar.Answer 3 Question 57

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