Which pair of triangles can be proven congruent by sas?

The first pair of triangles can be proven congruent by SAS.

Step-by-step explanation:

SAS postulate says that if two sides and the included angle of a triangle are equal to two sides and the included angle of another triangle, then the two triangles are said to be congruent.

In the first pair of triangles the included angle of a triangle are equal to two sides and the included angle of another triangle, therefore by SAS postulate the two triangles are said to be congruent.

In the second figure, the pair of triangles are congruent by ASA postulate not SAS.

In the third figure, the pair of triangles are not congruent by any postulate or theorem [Because there is no SSA rule].

In the fourth figure, the pair of triangles are congruent by SSS postulate not SAS.

Similar triangles may or may not be congruent.

The pair of triangles that can be proved by SAS is (a) the first pair

From the attached figures, we have the following observations

Figure 1

The two congruent sides represent SS

The corresponding angles imply: SAS

This means that, the first pair of triangles are congruent by SAS postulate

Figure 2

The two congruent angles represent AA

The common side imply: ASA

This means that, the second pair of triangles are congruent by ASA postulate

Figure 3 and 4

This means that, the third and the fourth pairs of triangles are congruent by SSS postulate

Hence, the pair of triangles that can be proved by SAS is (a) the first pair

Read more about similar triangles at:

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