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MATHLORD69IN

Congruent Triangles

∆CAT ≈ ∆CUP

1.) m∠T = 65°

  • ∠T = ∠P
  • ∠P = 65°
  • then ∠T = 65°

2.) AC = 7 meters

  • AC = UC
  • UC = 7 meters
  • then AC = 7 meters

3.) m∠CAT = 45°

  • The sum of the interior angles of a triangle is 180°
  • 180° - (∠C + ∠T)
  • 180° - (70° + 65°)
  • 180° - 135°
  • 45°

4.) PC = 6 meters

  • PC = TC
  • TC = 6 meters
  • then PC = 6 meters

5.) Perimeter of ∆CUP = 22 meters

  • P = CU + UP + PC
  • UP = AT
  • AT = 9 meters
  • UP = 9 meters
  • PC = 6 meters
  • CU = 7 meters
  • P = 7 + 9 + 6
  • P = 22 meters

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