Write a paragraph proof.
Given: ∠T and ∠V are right angles.
Prove: ∆TUW ∆VWU
2 answers:
Step-by-step explanation:
in ∆TUW & ∆VWU
∠UTW = ∠UVW (data / given)
WU = WU (common sides) ∠TWU = ∠VUW (TW//UV alternate∠ )
so ∆TUW & ∆VWU are congruent
Answer:
∆TUW≅∆VWU by AAS.
Step-by-step explanation:
Given information: ∠T and ∠V are right angles, TW║UV.
Prove: ∆TUW≅∆VWU
Proof:
If a transversal line intersect two parallel lines, then alternate interior angles are congruent.
In ∆TUW and ∆VWU,
(Right angles)
(Alternate interior angles)
(Reflection property)
By AAS postulate, ∆TUW and ∆VWU are congruent.

Hence proved.
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