Question

If two sides and the angle included between them in one of the triangles are equal to the corresponding sides and the angle included between them of the other triangle, then the triangles are congruent by ____.

• A. SAS congruence condition
• B. SSS congruence condition
• C. ASA congruence condition
• D. RHS congruence condition

Answer 1

The correct option is A

SAS congruence condition

Two triangles are congruent if two sides and the angle included between them in one of the triangles are equal to the corresponding sides and the angle included between them of the other triangle. This condition is called SAS (Side, Angle included, Side) condition.

In the figure above,
AC = XZ
BC = YZ
$\angle ACB=\angle YZX$
$\therefore △ACB\cong △XZY$ by SAS criterion for congruency.