The scale factor of a dilation from parallelogram EFGH to parallelogram JKLM is [tex]2.5cm.[/tex]
What is Scale Factor ?
Scale Factor is defined as the ratio of size of new image formed to the size of old image.
What is Parallelogram?
Parallelogram is defined as the quadrilateral whose opposite sides are equal and opposite to each other.
Here, we have parallelogram EFGH and parallelogram JKLM,
it is given that,
parallelogram EFGH is similar to parallelogram JKLM.
In parallelogram EFGH we have,
EF[tex]=28 cm[/tex], EH[tex]=14cm[/tex]
and
In parallelogram JKLM we have,
JK[tex]=11.2cm[/tex] JM[tex]=5.6cm[/tex]
So, according to question,
Scale factor [tex]=[/tex] [tex]\frac{EF}{JK}[/tex]
[tex]=\frac{28}{11.2}[/tex]
[tex]=2.5[/tex] cm
Hence, we can say that Scale factor of dilation of parallelogram EFGH to parallelogram JKLM is [tex]2.5 cm[/tex].
To learn more about Parallelogram click here
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