O-LevelMathematicsGeometry4024/11 · May/June 2023 · Q193 Marks
A and B are points on the circumference of a circle, centre O. TA and TB are tangents to the circle. Show that triangles OBT and OAT are congruent. Give a reason for each statement you make.
- Show that triangles OBT and OAT are congruent. Give a reason for each statement you make.[3]
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Mark scheme
Marking points from the official mark scheme (May/June 2023). The mark or mark type is shown in brackets.
- [3] OA = OB equal radii AT = BT equal tangents OAT = OBT tangent perp to rad [Congruent] SAS Alternatively OT is common OAT = OBT tangent perp to rad 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
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