The pair of triangles that is congruent by Side-Side-Side rule of congruency is option 4 .
Required:
The option with a pair of triangles that congruent by Side-Side-Side SSS rule of congruency.
Solution;
The given information in option [1] are;
- A pair of congruent alternate interior angles, and a pair of angles in option [1] are congruent by Angle-Side-Angle rule of congruency.
Option [2]
- The information given in option [2] are two angles and an adjacent side, therefore;
- The length of the triangles in option [2] are congruent by Angle-Angle-Side rule of congruency
Option [3]
- From the given parameters, the rule of congruency for option [3] is Side-Angle-Side congruency
Option [4]
- The triangles have a common side that is shared.
- 3 tic marks and 2 tic mark indicating that the corresponding sides are congruent are placed on the other two sides.
Therefore, b of one triangle are congruent to the corresponding three sides of the other triangle, indicating that triangles are congruent by Side-Side-Side rule of congruency.
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