To prove the congruence between triangles ABC and XYZ, we need to prove that the line segment AX is congruent to the line segment ZC. (Correct choice: B)
<h3>What additional condition must be fulfilled to conclude that two triangles are congruent by Side-Angle-Side Theorem?</h3>
In accordance with Euclidean theorem, there are three forms of proving congruence between two triangles:
- Two pairs of adjacent sides and two pairs of angles between these sides (Side - Angle - Side).
- Two pairs of adjacent angles and a pair of sides between these angles (Angle - Side - Angle).
- Three of pairs of sides (Side - Side - Side).
Then, we find a picture with a geometrical system formed by two triangles, of which we know a pair of congruent lines and a pair of congruent angles. By Side-Angle-Side Theorem, we need to prove that that line segments are AX and ZC are congruent.
To learn more congruence of triangles: brainly.com/question/20521780
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