From the similar triangles in the diagram, write a proportion using the ratio
WV/WX
To write a proportion using the ratio WV/WX, we need to identify the similar triangles in the diagram. Once we have identified the similar triangles, we can set up a proportion using the corresponding sides.
To identify the similar triangles, look for triangles that have the same shape but possibly different sizes. In this case, we can see that triangle WVY and triangle XZY are similar because they have the same shape.
Now let's set up a proportion using the corresponding sides of the similar triangles. Corresponding sides are sides that have the same relative position in each triangle.
In triangle WVY, the corresponding side to WV is XY.
In triangle XZY, the corresponding side to WX is YZ.
So, we can write the proportion as:
WV/WX = XY/YZ
Note that the order of the sides in the proportion is important. The side from the first triangle (WV) is paired with the corresponding side from the second triangle (XY). The same goes for the second pair (WX and YZ).
This proportion allows us to compare the lengths of WV and WX based on the relationship between XY and YZ in the similar triangles.