Question

PLEASE HELP ME 100 POINTS (make full screen)

Answer 1

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Answer 2

• See below

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