حل السؤال 19، 4024/11 مايو/يونيو 2023: Congruent Triangles: Proof Conditions

1. 1OA = OB (radii of the same circle)
2. 2AT = BT (tangents from the same point T are equal)
3. 3Angle OAT = angle OBT = 90° (tangent is perpendicular to the radius)
4. 4So triangles OBT and OAT are congruent (SAS)

AnswerOA = OB (equal radii), AT = BT (equal tangents), angle OAT = angle OBT (tangent perpendicular to radius), [congruent] SAS Alternatively: OT is common, angle OAT = angle OBT (tangent perpendicular to radius), OA = OB (equal radii) or AT = BT (equal tangents), [congruent] RHS Alternatively: OT is common, AT = BT (equal tangents), OA = OB (equal radii), [congruent] SSS