Question

fill in the blank to complete the congruence statement. be sure to use all capital letters. your answer should only have three capital letters, nothing else. ▲ijk ≡ ▲____

Explanation:

Step1: Identify corresponding angles and sides

In congruent triangles, corresponding angles and sides are equal. From the figure, we can see that:

• \( \angle I\) corresponds to \( \angle C\) (marked with one - arc)
• \( \angle K\) corresponds to \( \angle D\) (marked with three - arcs)
• \( \angle IJK\) and \( \angle CJD\) are vertical angles (and thus equal)
• The side \(IK\) corresponds to \(CD\) (marked with one - line segment), \(JK\) corresponds to \(JD\) (marked with three - line segments), and \(IJ\) corresponds to \(CJ\) (marked with two - line segments)

Step2: Determine the congruent triangle

Since the vertices of \( \triangle IJK\) correspond to \(C\), \(J\), and \(D\) in order (based on angle - side - angle or other congruence criteria for triangles, as all corresponding parts are equal), the congruent triangle is \( \triangle CJD\)

Answer:

CJD