Respuesta :

mhanifa

Answer:

  • See below

Step-by-step explanation:

Part 1

Corresponding angles and sides of ΔMNP and ΔUVW are congruent:

  • ∠M ≅ ∠U       MP ≅ UW
  • ∠P ≅ ∠W       PN ≅ WV
  • ∠N ≅ ∠V       MN ≅ UV

Part 2

The triangles are congruent by SAS. One side and angle marked as congruent and another side is congruent as common to both.

Corresponding sides are congruent:

  • 3x - 5 = 2x + 1
  • 3x - 2x = 1 + 5
  • x = 6

Part 3

Given ∠C ≅ ∠D

In order to prove the congruence of ΔAED and ΔBEC by ASA we need another angle and the included side to be congruent.

We can observe ∠AED ≅ ∠BEC as vertical angles.

Additional information we need is:

  • DE ≅ CE

Part 4

Triangles ABC and ADC are congruent by SAS:

  • AB ≅ AD
  • ∠DAC ≅ ∠BAC
  • AC ≅ AC

Therefore corresponding sides BC and CD are also congruent

Perimeter of ABCD is:

  • P = AB + BC + CD + AD
  • P = 12.1 + 7.8 + 7.8 + 12.1 = 39.8 cm
terrypan

Answer:

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