Question

if △def ≅ △xyz, then ∠edf ≅ ∠? zyx dfe yxz xzy

Explanation:

Step1: Identify corresponding vertices

△DEF ≅ △XYZ means D↔X, E↔Y, F↔Z.

Step2: Match angle vertices

∠EDF has vertices E-D-F, so corresponding angle is Y-X-Z (∠YXZ? No, wait: ∠EDF is E connected to D connected to F → D is the vertex. So ∠EDF is vertex D, sides DE and DF. Corresponding vertex of D is X, sides XY and XZ. So angle at X: ∠YXZ? Wait no, options: XZY is vertex Z? Wait no, wait ∠EDF: E-D-F → order is E, D, F (vertex is middle letter D). So corresponding angle is middle letter X: Y-X-Z → ∠YXZ? But option YXZ is there. Wait wait, let's check again: △DEF ≅ △XYZ → D=X, E=Y, F=Z. ∠EDF: vertices E, D, F → middle is D (vertex). So corresponding angle must have middle letter X (since D↔X). So the angle is ∠YXZ (Y-X-Z, middle X). Yes, option YXZ is present.

Step3: Confirm the answer

The corresponding angle to ∠EDF is ∠YXZ.

Wait correction: ∠EDF is formed by points E, D, F → vertex is D (middle). So corresponding angle is vertex X (since D↔X). The sides of ∠EDF are DE and DF → corresponding sides are XY and XZ. So the angle at X with sides XY and XZ is ∠YXZ (Y-X-Z). So the answer is YXZ.

Step1: Corresponding vertices

△DEF≅△XYZ → D↔X, E↔Y, F↔Z.

Step2: Angle vertex identification

∠EDF has vertex D (middle letter).

Step3: Find corresponding angle

Corresponding vertex of D is X. So angle with vertex X: ∠YXZ (Y-X-Z, middle X).

Step4: Match with options

Option YXZ is correct.

Answer:

XZY