Please help. The scale factor of ^RST to ^DEC is 3:13. What is the scale factor of ^DEC to ^RST?
13:3.
To find the scale factor of ^DEC to ^RST given that the scale factor of ^RST to ^DEC is 3:13, we can take the reciprocal (or multiplicative inverse) of the given scale factor.
The scale factor of ^DEC to ^RST can be found by taking the reciprocal of the scale factor of ^RST to ^DEC.
Reciprocal of 3:13 = 13:3
Therefore, the scale factor of ^DEC to ^RST is 13:3.
To find the scale factor of two similar triangles, you can take the reciprocal of the given scale factor. In this case, the scale factor of ^RST to ^DEC is 3:13. To find the scale factor of ^DEC to ^RST, you need to take the reciprocal of 3:13.
To do this, invert the ratio by flipping the numerator and denominator. Instead of 3:13, it becomes 13:3. Therefore, the scale factor of ^DEC to ^RST is 13:3.
In summary, to find the scale factor of two similar triangles, you can take the reciprocal of the given scale factor by flipping the numerator and denominator.