Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

complete the congruence statement. efgh ≅ submit

Question

complete the congruence statement.
efgh ≅
submit

Explanation:

Step1: Match corresponding vertices

  • In congruent polygons, corresponding angles and sides are equal.
  • For quadrilateral \(EFGH\) and the other quadrilateral:
  • \(\angle E = 58^{\circ}\), \(\angle W=58^{\circ}\), so \(E\) corresponds to \(W\).
  • \(\angle F = 122^{\circ}\), \(\angle X = 122^{\circ}\), so \(F\) corresponds to \(X\).
  • \(\angle G=58^{\circ}\), \(\angle U = 58^{\circ}\), so \(G\) corresponds to \(U\).
  • \(\angle H=122^{\circ}\), \(\angle V=122^{\circ}\), so \(H\) corresponds to \(V\).

Answer:

\(EFGH\cong WXUV\)