From the similar triangles in the diagram, write a proportion using the ratio WX/WV

Mathematics

2 answers:

dangina [55]3 years ago

7 0

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/WY

So, option B gives the correct answer

Papessa [141]3 years ago

5 0

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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T is a linear transformation from R²→R² with basis {(1,0),(0,1)}
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A function from one vector space to another that preserves the underlying (linear) structure of each vector space is called a linear transformation.

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