Question

matthew and luke are discussing the two triangles below. matthew says they are similar. luke says that they are not similar. who is correct? they are both correct because the different sides have different scale factors. matthew is correct. luke is correct. they are both incorrect since the sides have different scale factors. question 4

Explanation:

Step1: Calculate the scale factors

For the sides \(35\) and \(21\): \(\frac{21}{35}=\frac{3}{5}\)
For the sides \(25\) and \(15\): \(\frac{15}{25}=\frac{3}{5}\)
For the sides \(20\) and \(10\): \(\frac{10}{20}=\frac{1}{2}\)

Step2: Check similarity

Since \(\frac{3}{5}
eq\frac{1}{2}\), the sides do not have the same scale factor.

Answer:

They are both incorrect since the sides have different scale factors.