Which is the scale factor proportion for the enlargement shown?
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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