Question

complete the congruence statement.
f 22 mi c
126° 54°
29 mi
29 mi
e 54° 126°
22 mi d
edcf ≅
submit

Explanation:

Step1: Match the corresponding vertices

In congruent polygons, the order of vertices matters. We need to match the sides and angles. The side lengths \(22\) mi, \(29\) mi, \(22\) mi, \(29\) mi in \(EDCF\) should correspond to the other polygon. Looking at the angles \(54^{\circ}\), \(126^{\circ}\), \(54^{\circ}\), \(126^{\circ}\) in \(EDCF\).

Step2: Determine the congruent polygon

By matching the order of sides and angles (using the SSS - Side - Side - Side and ASA - Angle - Side - Angle congruence concepts for polygons in terms of vertex order), we find that \(EDCF\cong HGJI\) (assuming the other polygon has vertices \(H\), \(G\), \(J\), \(I\) with appropriate side lengths \(22\), \(29\), \(22\), \(29\) and angles \(54^{\circ}\), \(126^{\circ}\), \(54^{\circ}\), \(126^{\circ}\) in order).

Answer:

\(EDCF\cong HGJI\)