An inverse variation includes the point (5,10). Which point would also belong in this inverse variation?

An inverse variation is something of the shape:

y = k/x.

Knowing that the point (5, 10) is included in this equation, we can obtain the value of k.

10 = k/5.

10*5 = k

k = 50

Then our inverse variation is:

y = 50/x.

Now we can give any value of x in order to find another point that is included in the variation, for example, if x = 5

y(5) = 50/5 = 10

then the point (5, 10) does also belong to the inverse variation.

if x = 50

y(50) = 50/50 = 1.

then the point (50, 1) does also belong to the inverse variation.

1)is not similar since corresponding sides are not in the same ratio

2)are similar since corresponding sides are in the same ratio and corresponding angles are equal

hope it will

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