lateefwastaken909
lateefwastaken909 lateefwastaken909
  • 16-12-2019
  • Mathematics
contestada

parallelogram EFGH is similar to parallelogram WXYZ. What is the length of line WZ? Write the proportion of corresponding sides​

parallelogram EFGH is similar to parallelogram WXYZ What is the length of line WZ Write the proportion of corresponding sides class=

Respuesta :

calculista
calculista calculista
  • 28-12-2019

Answer:

[tex]WZ=6\ in[/tex]

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

In his problem

[tex]\frac{WZ}{EH}=\frac{WX}{EF}[/tex]

substitute the given values

[tex]\frac{WZ}{3}=\frac{10}{5}[/tex]

solve for WZ

[tex]\frac{WZ}{3}=2[/tex]

[tex]WZ=3(2)=6\ in[/tex]

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