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Find the unknown in each figure. Show the solution clearly and legibly, if necessary.
Patulong po please
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Find The Unknown In Each Figure Show The Solution Clearly And Legibly If NecessaryPatulong Po Please class=

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MathLord69viz

Congruent Triangles

1.) ∆ABC ≈ ∆DEF

  • y = 6
  • w = 10

2.) ∆LMN ≈ ∆TUV

  • n = 5
  • h = 40°

3.) ∆ABC ≈ ∆DEF

  • x = 9.5
  • y = 10.5
  • AC = 20
  • BC = 18.5
  • EF = 18.5

Solution:

Look for y:

[tex]AC = DF[/tex]

[tex]2y - 1 = 20[/tex]

[tex]2y = 20 + 1[/tex]

[tex]2y = 21[/tex]

[tex]y = 10.5[/tex]

Look for x:

[tex]BC = EF[/tex]

[tex]x + 9 = y + 8[/tex]

[tex]x + 9 = 10.5 + 8[/tex]

[tex]x + 9 = 18.5[/tex]

[tex]x = 18.5 - 9[/tex]

[tex]x = 9.5[/tex]

Look for AC:

[tex]AC = 2y - 1[/tex]

[tex]AC = 2(10.5) - 1[/tex]

[tex]AC = 21 - 1[/tex]

[tex]AC = 20[/tex]

Look for BC:

[tex]BC = x + 9[/tex]

[tex]BC = 9.5 + 9[/tex]

[tex]BC = 18.5[/tex]

Look for EF:

[tex]EF = y + 8[/tex]

[tex]EF = 10.5 + 8[/tex]

[tex]EF = 18.5[/tex]