Question

determine which triangle congruence theorem explains how the triangles are congruent. hypotenuse - leg congruence theorem angle - side - angle congruence theorem side - side - side congruence theorem side - angle - side congruence theorem

Explanation:

• Hypotenuse - Leg Congruence Theorem is for right - angled triangles, which is not indicated here.
• Angle - Side - Angle requires two angles and the included side, which is not shown.
• Side - Side - Side: In the figure, \(AB = CD\), \(BC = AD\), and \(AC\) is a common side. So all three sides of \(\triangle ABC\) and \(\triangle CDA\) are equal.
• Side - Angle - Side requires two sides and the included angle, which is not the case.

Answer:

Side - Side - Side Congruence Theorem