48 a–d M1 2 M1 for method of constructing any midpoint H A1 A1 for all three midpoints correct and labelled M1 M1 for constructing any perpendicular from a vertex to A circle, centre P, should pass through opposite face each of the nine labelled points. A1 A1 for all three correct A1 A1 all 3 feet correctly labelled M1 M1 for constructing a midpoint of AO or BO or CO A1 A1 for all midpoints correct and labelled e M1 M1 for constructing a bisector of LM or LN or MN A1 A1 for all three bisectors correct and point of intersection labelled P f C1 C1 for correct explanation 10 49 C3 2 C1 for correct statement with justification H AB = CD (given) C1 for correct statement with justification = (alternate angles) ∠ABD ∠CDB C1 for correct statement with justification = (alternate angles) ∠BAC ∠DCA so C1 C1 for stating ASA within correct explanation ΔABX ≡ ΔCDX (ASA) 4 50 C2 2 C1 for stating the corresponding side link H AB and PQ are the corresponding C1 for complete clear statement sides opposite the 50° angle but they are not equal in length. 2
48 a–d e f A circle, centre P, should pass through each of the nine labelled points. M1 A1 M1 A1 A1 M1 A1 M1 A1 C1 2 M1 for method of constructing any midpoint A1 for all three midpoints correct and labelled M1 for constructing any perpendicular from a vertex to opposite face A1 for all three correct A1 all 3 feet correctly labelled M1 for constructing a midpoint of AO or BO or CO A1 for all midpoints correct and labelled M1 for constructing a bisector of LM or LN or MN A1 for all three bisectors correct and point of intersection labelled P C1 for correct explanation H 10 49 AB = CD (given) ∠ABD = ∠CDB (alternate angles) ∠BAC = ∠DCA (alternate angles) so ΔABX ≡ ΔCDX (ASA) C3 C1 2 C1 for correct statement with justification C1 for correct statement with justification C1 for correct statement with justification C1 for stating ASA within correct explanation H 4 50 AB and PQ are the corresponding sides opposite the 50° angle but they are not equal in length. C2 2 C1 for stating the corresponding side link C1 for complete clear statement H 2
Higher_Skills_Geometry_MarkScheme_Edexcel.docx