Given:
Quadrilateral ABCD is similar to Quadrilateral WXYZ.
[tex]AB =15,\ WX =25,\ XY =15[/tex] and [tex]YZ =20[/tex].
To find:
The measure of BC.
Solution:
We know that the corresponding sides of similar figures are proportional.
It is given that Quadrilateral ABCD is similar to Quadrilateral WXYZ. It means their corresponding sides are proportional.
[tex]\dfrac{AB}{WX}=\dfrac{BC}{XY}=\dfrac{CD}{YZ}=\dfrac{AD}{WZ}[/tex]
Now,
[tex]\dfrac{AB}{WX}=\dfrac{BC}{XY}[/tex]
After substituting the given values, we get
[tex]\dfrac{15}{25}=\dfrac{BC}{15}[/tex]
[tex]\dfrac{3}{5}=\dfrac{BC}{15}[/tex]
Multiply both sides by 15.
[tex]\dfrac{3}{5}\times 15=\dfrac{BC}{15}\times 15[/tex]
[tex]9=BC[/tex]
Therefore, the measure of BC is 9 units.
