Question

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6. Write a congruence statement for the pair of triangles.



∆TUW ≅ ∆VUW


∆TUW ≅ ∆VWU


∆TUW ≅ ∆UVW


∆TUW ≅ ∆WVU

Answer 1

1- ASA for all triangle mentioned. The have one side adjacent to 2 angles

Answer 2

Answer: ∆TUW ≅ ∆VUW

Explanation:

In the given figure we have two triangles ∆TUW and ∆VUW .

In the given triangles ∆TUW and ∆VUW , we have

∠TUW ≅ ∠VUW [Given]

UW=UW [Reflexive]

∠UWT≅∠UWV [Given]

Therefore, by ASA congruence postulate

∆TUW ≅ ∆VUW [write corresponding parts in same order.]

• ASA congruence postulate says that if two angles and the included side of a triangle are congruent or equal to the corresponding parts of another triangle, then the triangles are congruent.