Q:

Determine whether the given triangles are similar. Justify your answer. If they are similar write a similarity statement. How do you do this?

Accepted Solution

A:
Similar shapes may or may not have equal lengthsTriangles ABC and PRQ are similar by SSSThe corresponding sides on both triangles are:AB = 8, and PQ = 6AC = 12, and PR = 9BC = 12, and QR = 9Divide the corresponding sides, to determine the scale factor (k)[tex]k = \frac{6}{8} = \frac{9}{12} = \frac{9}{12}[/tex]Evaluate the quotients[tex]k = 0.75 = 0.75 = 0.75[/tex]Given that the scale factors are equal.Hence, both triangles are similar by SSSRead more about similar triangles at: