Mathematics Grade 10Johannesburg South DistrictAssignment Term 220244.2 ACS is a triangle. P is a point on AS and R is a point on AC such that PSRQ is a parallelogram. PQ intersect AC at B such that B is the midpoint of AR.QC is joined. Also, CR=PS,C˙1=50∘ and AS0.
Q. Mathematics Grade 10Johannesburg South DistrictAssignment Term 220244.2 ACS is a triangle. P is a point on AS and R is a point on AC such that PSRQ is a parallelogram. PQ intersect AC at B such that B is the midpoint of AR.QC is joined. Also, CR=PS,C˙1=50∘ and AS0.
Identify properties of PSRQ: Identify the properties of the parallelogram PSRQ. In a parallelogram, opposite sides are equal.
Use CR=PS to find CR: Since CR=PS and PSRQ is a parallelogram, we know PS=RQ and PQ=SR.
Given BP=60mm and B is midpoint: Given BP=60mm and B is the midpoint of AR, AB=BR=60mm.
ext{PQ bisects AR at B}: Since B is the midpoint of AR, and PQ intersects AC at B, PQ bisects AR.
Use BP to find CR: As CR=PS and PS=RQ, we can use the length of BP to find CR. Since BP=60mm, CR=60mm.
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