Which of the following statements is not true? Choose the correct answer below. A. Similar triangles have the same shape and size. B. The corresponding angles of similar triangles have the same measure. C. If two triangles are similar, then the ratio of the lengths of any two sides of one triangle is equal to the ratio of the lengths of the corresponding sides of the other triangle. D. If two triangles are similar, then there exists a constant kgreater than or equals1 which is equal to the ratio of the lengths of corresponding sides.

Question

31-01-2020
Mathematics

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Which of the following statements is not true? Choose the correct answer below. A. Similar triangles have the same shape and size. B. The corresponding angles of similar triangles have the same measure. C. If two triangles are similar, then the ratio of the lengths of any two sides of one triangle is equal to the ratio of the lengths of the corresponding sides of the other triangle. D. If two triangles are similar, then there exists a constant kgreater than or equals1 which is equal to the ratio of the lengths of corresponding sides.

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Answer:

D. If two triangles are similar, then there exists a constant k greater than or equals 1 which is equal to the ratio of the lengths of corresponding sides.

Step-by-step explanation:

Two triangles are similar if their corresponding angles are the same size. They need not be of the same length but the corresponding sides should be of the same proportion. One may be bigger that the other but the ratio of the lengths of corresponding sides will be equal. They may also be mirror images of one another so they will essentially have the same shape.