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The triangles are similar. Write a similarity statement for the triangles.

a) PQR ~ STU
b) PQR ~ TSU
c) PRQ ~ UST
d) ~ ~

User Ahj
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1 Answer

5 votes

Final answer:

The similarity statement for the triangles is PQR ~ STU. Option A is correct.

Step-by-step explanation:

The similarity statement for the triangles is PQR ~ STU. This means that triangle PQR is similar to triangle STU. Similar triangles have congruent angles and proportional side lengths. In this case, corresponding angles in PQR and STU are congruent, and corresponding sides are proportional.

The question appears to be related to the concept of similar triangles in mathematics. Similar triangles are those that have the same shape but not necessarily the same size, with corresponding angles being equal and the sides being proportional. A similarity statement for triangles would therefore match the corresponding vertices of the triangles that are known to be similar, based on the information provided about side lengths or angle measurements.

In essence, the similarity statement for triangles expresses which vertices correspond to each other in the two triangles. For example, if triangle ABC is similar to triangle DEF, the similarity statement would be written as ΔABC ∼ ΔDEF, indicating that vertex A corresponds to D, B to E, and C to F.

User Uomo
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