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kirill115 [55]
3 years ago
13

Write a paragraph proof. Given: ∠T and ∠V are right angles. Prove: ∆TUW ∆VWU

Mathematics
2 answers:
Veseljchak [2.6K]3 years ago
8 0

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

Oduvanchick [21]3 years ago
5 0

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,

\angle T\cong \angle V                 (Right angles)

\angle TWU\cong \angle VUW                 (Alternate interior angles)

UW\cong UW                     (Reflection property)

By AAS postulate, ∆TUW and ∆VWU are congruent.

\triangle TUW\cong \triangle VWU

Hence proved.

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