From the similar triangles in the diagram, write a proportion using the ratio WX/WV
2 answers:
The 3 similar triangles shown in the figure are:a) Triangle WXV b) Triangle WVY c) Triangle VXY For the similar triangles, the ratio of their corresponding sides is always equal. From Triangle WXV, we are given the ratio WX/WV. The side corresponding to WX, in Triangle WVY will be WY and side corresponding to WV will be WY. So, we can write:WX/WV = WV/WY Moreover, The side corresponding to WX, in Triangle VXY will be VX and side corresponding to WV will be VY. So, we can write:WX/WV = VX/VY From these two equation, we can write: VX/VY = WV/WYSo, option B gives the correct answer
The similarities are VWX ~ YVX ~ YWV. Matching corresponding letters, you have WX/WV = VX/VY = WV/WY The appropriate choice is ... B. VX/VY = WV/WY
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