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

Answer:Δ TUW ≅ ΔVWU ⇒ by AAS caseStep-by-step explanation:* Lets revise the cases of congruent for triangles- SSS  ⇒ 3 sides in the 1st Δ ≅ 3 sides in the 2nd Δ- SAS ⇒ 2 sides and including angle in the 1st Δ ≅ 2 sides and    including angle in the 2nd Δ  - ASA ⇒ 2 angles and the side whose joining them in the 1st Δ    ≅ 2 angles and the side whose joining them in the 2nd Δ  - AAS ⇒ 2 angles and one side in the first triangle ≅ 2 angles  and one side in the 2ndΔ- HL ⇒ hypotenuse leg of the first right angle triangle ≅ hypotenuse  leg of the 2nd right angle Δ* Lets solve the problem- There are two triangles TUW and VWU- ∠T and ∠V are right angles- LINE TW is parallel to line VU∵ TW // VU and UW is a transversal∴ m∠VUW = m∠TWU ⇒ alternate angles (Z shape)- Now we have in the two triangles two pairs of angle equal each  other and one common side, so we can use the case AAS- In Δ TUW and ΔVWU∵ m∠T = m∠V ⇒ given (right angles)∵ m∠TWU = m∠VUW ⇒ proved∵ UW = WU ⇒ (common side in the 2 Δ)∴ Δ TUW ≅ ΔVWU ⇒ by AAS case