Question

Triangle S and Triangle L are scaled copies of one another. Triangle M is also a scaled copy of S. The scale factor from S to M is 2/3. What is the scale factor from M to S?

Answer 1

To find the scale factor from Triangle M to Triangle S, take the reciprocal of the scale factor from S to M. Since the scale factor from S to M is 2/3, the scale factor from M to S is 3/2 or 1.5.

Step-by-step explanation:

The question is asking about the scale factor when going from Triangle M to Triangle S, given that the scale factor from S to M is 2/3. To find the scale factor from M to S, we can think of the scale factor as a fraction representing how many times larger or smaller the scaled triangle is compared to the original triangle. Since we know the scale factor from S to M is 2/3, the reciprocal will give us the scale factor from M to S.

Here's the step-by-step explanation:

1. Identify the given scale factor from S to M, which is 2/3.
2. Understand that the reciprocal of the scale factor will give us the scale factor in the opposite direction. In this case, to find scale factor from M to S.
3. Calculate the reciprocal of 2/3 by flipping the numerator and denominator. This yields 3/2.

Therefore, the scale factor from M to S is 3/2, implying that Triangle M is smaller than Triangle S by a factor of 3/2, or 1.5.