Question

complete the congruence statement. defg ≅

Explanation:

Step1: Match corresponding sides and angles

By comparing side - lengths and angle - measures, we find that:
Side \(DE = 36\) cm corresponds to side \(UV=36\) cm, side \(EF = 29\) cm corresponds to side \(VW = 29\) cm, side \(FG=15\) cm corresponds to side \(WX = 15\) cm, side \(GD = 10\) cm corresponds to side \(XU = 10\) cm.
\(\angle E=41^{\circ}\) corresponds to \(\angle V = 41^{\circ}\), \(\angle F = 98^{\circ}\) corresponds to \(\angle W=98^{\circ}\), \(\angle G = 148^{\circ}\) corresponds to \(\angle X = 148^{\circ}\), \(\angle D=73^{\circ}\) corresponds to \(\angle U = 73^{\circ}\).

Step2: Write the congruence statement

The order of the vertices in the congruence statement should match the corresponding vertices. So, \(DEFG\cong UVWX\).

Answer:

\(UVWX\)