Quadrilateral CDEF is dilated by a scale factor of start fraction, 3, divided by, 4, end fraction

4
3

to form quadrilateral C'D'E'F'. What is the measure of side F'C'?

1 answer

To find the measure of side F'C', we need to first find the measure of side CF in the original quadrilateral CDEF.

Given that the scale factor is 3/4, this means that the length of side CF in CDEF is 3/4 of the length of side C'F' in C'D'E'F'. Therefore, if we let x be the length of side C'F', then the length of side CF is (3/4)x.

Since quadrilateral CDEF is dilated by a scale factor of 3/4, the length of side F'C' is equal to (3/4)x.

Therefore, the measure of side F'C' is 3/4 times the measure of side F'C', or (3/4) * x.