Question

Write a paragraph proof.

Given: ∠T and ∠V are right angles.

Prove: ∆TUW ∆VWU

Answer 1

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 2

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.