kpd5069659
kpd5069659 kpd5069659
  • 25-06-2022
  • Mathematics
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Given ZW=20. Answer the questions please. ​

Given ZW20 Answer the questions please class=

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Medunno13
Medunno13 Medunno13
  • 25-06-2022

a) Corresponding angles of similar figures are congruent, so [tex]\angle B \cong \boxed{\angle Z}[/tex]

b) Scale factor = (image)/(preimage). Since we are looking for ABCD to WZYX, this means that WZYX is the image and ABCD is the preimage. Thus, the scale factor is [tex]\frac{25}{10}=\boxed{5/2}[/tex]

c) Since the scale factor is 5/2,

[tex]\frac{20}{t}=\frac{5}[2}\\\\40=5t\\ \\ t=\boxed{8}[/tex]

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