Which is the scale factor proportion for the enlargement shown?
![Which is the scale factor proportion for the enlargement shown class=](https://us-static.z-dn.net/files/d03/f8405466930ea319ac697edd2b7f18c7.png)
Answer:
A. 1/x = 2/6
Step-by-step explanation:
Given the sides of the smaller parallelogram:
1 in and 2 in
Given the sides of the bigger parallelogram:
x in and 6 in
By Comparison of similar sides
I.e. the slant sides (1in and x in) and the base (2in and 6in) of both parallelogram.
1/x = 2/6
Hence, the scale factor proportion for the enlargement is 1/x = 2/6.
Solving further to get the value of x
Simplify both sides
1/x = ⅓
Multiply both sides by x
1/x * x = ⅓ * x
1 = ⅓x
Multiply both sides by 3
1 * 3 = ⅓x * 3
3 = x
So x = 3 in