Question

determine if triangle pqr and triangle stu are or are not similar, and, if they are, state how you know. (note that figures are not necessarily drawn to scale.)

Explanation:

Step1: Check the ratios of corresponding sides

For triangle \(PQR\) with sides \(19,19,25\) and triangle \(STU\) with sides \(76,76,100\)
Calculate the ratios: \(\frac{76}{19} = 4\), \(\frac{100}{25}=4\)

Answer:

The triangles \(PQR\) and \(STU\) are similar. By the SSS (Side - Side - Side) similarity criterion, since the ratios of all corresponding sides are equal (\(\frac{76}{19}=\frac{76}{19}=\frac{100}{25} = 4\)), the two triangles are similar.