The length of the segment YZ is [tex]6\frac{3}{7}[/tex] cm
YZ= [tex]6\frac{3}{7}[/tex] cm
What is similar figures?
Two figures are said to be similar if they are the same shape. In more mathematical language, two figures are similar if their corresponding angles are congruent , and the ratios of the lengths of their corresponding sides are equal.
This common ratio is called the scale factor .
As the rectangle MNOP is similar to WXYZ.
so, they have the ratio of the corresponding side equal
[tex]\frac{MN}{WX} =\frac{MP}{WZ} =\frac{PO}{ZY}=\frac{ON}{XY}[/tex]
Now taking,
[tex]\frac{MP}{WZ} =\frac{PO}{ZY}[/tex]
[tex]\frac{7}{3} =\frac{15}{ZY}[/tex]
7 YZ= 45
YZ= [tex]\frac{45}{7}[/tex]
YZ= [tex]6\frac{3}{7}[/tex] cm
Hence the length of YZ be [tex]6\frac{3}{7}[/tex] cm.
Learn more about similarity of figure here:
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