Respuesta :

GHIJK ≅ UVWST

===============

Given for 1st shape:

  • GK = 16
  • KJ = 16
  • IJ = 24
  • IH = 16
  • GH = 24

Given for 2nd shape:

  • WS = 18

===================

WS ≅ IJ

Solve for UV:

[tex]\rightarrow \sf \dfrac{UV}{WS} =\dfrac{GH}{IJ}[/tex]

[tex]\rightarrow \sf \dfrac{UV}{18} =\dfrac{24}{24}[/tex]

[tex]\rightarrow \sf UV =18[/tex]

Solve for ST

[tex]\rightarrow \sf \dfrac{ST}{WS} =\dfrac{JK}{IJ}[/tex]

[tex]\rightarrow \sf \dfrac{ST}{18} =\dfrac{16}{24}[/tex]

[tex]\rightarrow \sf ST = 12[/tex]

Solve for VW

[tex]\sf \rightarrow \dfrac{VW}{WS} = \dfrac{HI}{IJ}[/tex]

[tex]\sf \rightarrow \dfrac{VW}{18} = \dfrac{16}{24}[/tex]

[tex]\sf \rightarrow VW = 12[/tex]

Let's see

  • WS/UV=GH/IJ
  • 18/UV=24/24
  • 18/UV=1
  • UV=18

#ST

  • WS/ST=IJ/JK
  • 18/ST=24/16
  • 18/ST=3/2
  • 3ST=36
  • ST=12

#VW

  • WS/VW=IJ/IH
  • 18/VW=24/16
  • VW=12