Based on the similar triangles shown below, Theodore claims that ∆TUV is transformed to ∆WXY with a scale factor of 3:2. Is Theodore correct?

A Yes, the triangles are similar with a scale factor of 3:2.

B No, the triangles are similar with a scale factor of 2:1.

C No, the triangles are similar with a scale factor of 2:3.

D No, the triangles are similar with a scale factor of 4:3.

Guest Aug 14, 2020

#1**0 **

The answer is A, because line UV:XY is 3:2, line TV:WY is also 3:2, and line UT:XW is equivalent to 3;2. If your unsure about how ratios work, a ratio is basically a fraction. 3:2 is also 3/2. So lets take UV:XY as an example. 18/12 after simplifying is to 3/2, and because ratio is also a way of writing a fraction, 3/2 = 3:2.I hope this helped! :)

calicokittycat Aug 14, 2020