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{{ printedBook.courseTrack.name }} {{ printedBook.name }} We are asked to name two triangles that are congruent by ASA.

To do so, let's consider two of them at a time.

In these triangles, we have two pairs of congruent angles, $∠P$ $≅$ $∠U$ and $∠R$ $≅$ $∠T.$ Also, there is a pair of congruent sides, $PR$ $≅$ $ST.$ In $△PRQ,$ the congruent side is included between the congruent angles. In $△UTS,$ the congruent side is **not** included between the congruent angles.

To use ASA, we need two pairs of congruent angles and a pair of congruent *included* sides. Therefore, we **cannot** conclude the triangles are congruent by ASA.

Here we have two pairs of congruent angles, $∠P$ $≅$ $∠V$ and $∠R$ $≅$ $∠W$. Also, there is a pair of congruent sides, $PR≅VW.$

We see that in both triangles the congruent sides are included between the congruent angles. Therefore, $△PRQ$ $≅$ $△VWX$ by ASA.

In these triangles we have two pairs of congruent angles, $∠U$ $≅$ $∠V$ and $∠T$ $≅$ $∠W.$ Also, there is a pair of congruent sides, $ST$ $≅$ $VW.$

In $△SUT,$ the congruent side is **not** included between the congruent angles. In $△XVW,$ the congruent side is included between the congruent angles. Therefore, we **cannot** conclude the triangles are congruent by ASA.