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These triangles cannot be proven congruent

Step-by-step explanation:

Let us revise the cases of congruence  

In the two triangles XTW and UTV

∵ XW = UV

∵ XT = UT

∵ m∠XTW = m∠UTV ⇒ vertically opposite angles

∵ ∠XTW is not included between XW and XT

∵ ∠UTV is not included between UV and UT

∴ The two triangles cannot be congruent by SAS case

∴ These triangles cannot be proven congruent

false

step-by-step explanation:

false.   two legs of the trapezoid would be congruent, but the other two would not.   were all the legs congruent, then we'd have a square; were the 2 shorter sides congruent and the 2 longer sides also congruent, we'd have a rectangle.