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Proving Congruent Triangles

Proving Congruent Triangles 1.8 - Solution

arrow_back Return to Proving Congruent Triangles

We are asked to name two triangles that are congruent by ASA.

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

and

In these triangles, we have two pairs of congruent angles, and Also, there is a pair of congruent sides, In the congruent side is included between the congruent angles. In 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.

and

Here we have two pairs of congruent angles, and . Also, there is a pair of congruent sides,

We see that in both triangles the congruent sides are included between the congruent angles. Therefore, by ASA.

and

In these triangles we have two pairs of congruent angles, and Also, there is a pair of congruent sides,

In the congruent side is not included between the congruent angles. In the congruent side is included between the congruent angles. Therefore, we cannot conclude the triangles are congruent by ASA.