Question

Triangle M is also a scaled copy of S. The scale factor from S to M is 32. What is the scale factor from M to S?

Answer 1

We are given two triangles,

Triangle M and Triangle S.

The scale factor of S to M is 32.

In ratio form, we can write scale factor of S to M as 32:1.

In other way 32:1 can be expressied 32:1 in fracions as 32/1.

We need to find the scale factor of triangle M to triangle S.

In order to write reverse scale factor, we just need to flip the given scale factor ratio.

Therefore, 32:1 could be flipped to 1:32.

And we could write 1:32 in fracion form as 1/32.

Therefore, scale factor from M to S is 1/32.

Answer 2

Scale factor is the factor used to enlarge or reduce the dimension of a figure. The scale factor from M to S is 1/32.

Given

$k = 32$ --- the scale factor from S to M

To determine the scale factor from M to S, we simply take the reciprocal (r) of the scale factor from S to M.

So, we have:

$r =\frac1{32}$

Hence, the scale factor from M to S is 1/32.

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