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WorksheetsLoci in Two Dimensions
Total questions: 25
Worksheet time: 25mins
The following diagram shows a windmill. Point P is marked on the mill.
Rajah berikut menunjukkan sebuah kincir angin. Titik P ditandakan pada kincir itu.
State the locus of point P.
Nyatakan lokus bagi titik P.
Circle
Bulatan
Straight line
Garis lurus
Parallel lines
Garis selari
Point
Titik
The following diagram shows a straight line MN
Rajah berikut menunjukkan satu garis lurus MN.
Point X moves such that X is always equidistant from point M and point N, Which of the following dotted lines shows the locus of X?
Titik X bergerak dengan keadaan X sentiasa berjarak sama dari titik M dan titik N. Antara garis putus- putus berikut, yang manakah menunjukkan lokus X?
The following diagram shows the Earth and a satellite.
Rajah menunjukkan Bumi dan sebuah satelit.
State the locus of the satellite.
Nyatakan lokus bagi satelit itu.
An ellipse
Sebuah elips
A circle
Sebuah bulatan
A straight line
Satu garis lurus
A parabola
Sebuah parabola
A girl is playing on a swing. State the locus for the situation.
Seorang budak perempuan sedang bermain buaian. Nyatakan lokus bagi situasi berikut.
An arc
Satu lengkok
A circle
Sebuah bulatan
A semicircle
Sebuah semibulatan
A pair of parallel lines
Sepasang garis selari
The following diagram shows a square PQRS. T, U, V and W are the midpoint of PQ, QR, RS and PS respectively.
Rajah berikut menunjukkan sebuah segi empat sama PQRS. T, U, V dan W masing- masing ialah titik tengah bagi PQ, QR, RS dan PS.
State the locus of X such that X is always equidistant from lines PQ and SR.
Nyatakan lokus X dengan keadaan X adalah berjarak sama dari garis PQ dan SR.
PR
TV
QS
UW
In the following diagram, ∠PQR is 80° .
Dalam rajah berikut, ∠PQR ialah 80° .
Describe the locus of X that is equidistant from QP and QR.
Perihalkan lokus X yang berjarak sama dari QP dan QR.
A circle with centre Q.
Sebuah bulatan berpusat Q.
Angle bisector of ∠PQR .
Pembahagi dua sama ∠PQR .
Perpendicular bisector of PR.
Pembahagi dua sama serenjang bagi PR.
A line which passes through Q and parallel to PR.
Garis yang melalui Q dan selari dengan PR.
The following diagram shows a rhombus.
Rajah berikut menunjukkan sebuah rombus.
State the locus of a moving point X such that X is equidistant from point P and point R.
Nyatakan lokus bagi titik X yang bergerak dengan keadaan X berjarak sama dari titik P dan titik R.
PQ
QS
QR
PR
The following diagram shows a square PQRS and given QS = 10 cm.
Rajah berikut menunjukkan sebuah segi empat sama PQRS dan diberi QS = 10 cm.
Which point A, B, C and D is equidistant from point P and point R but is away from point Q more than 5 cm?
Antara titik A, B, C dan D, yang manakah adalah berjarak sama dari titik P dan titik R tetapi berjarak 5 cm lebih dari titik Q?
A
B
C
D
The diagram shows an amusement park ride.
Rajah menunjukkan suatu permainan taman tema.
Choose the locus of point K
Pilih lokus bagi titik K.
Ellipse
Elips
Arc
Lengkok
Straight line
Garis lurus
Circle
Bulatan
The diagram shows an amusement park ride.
Rajah menunjukkan suatu permainan taman tema.
Choose the locus of point L
Pilih lokus bagi titik L.
Ellipse
Elips
Arc
Lengkok
Straight line
Garis lurus
Circle
Bulatan
Choose the type of locus for the following description.
Pilih jenis lokus bagi huraian yang berikut:
" Fixed distance from a straight line "
"Jarak tetap dari satu garis lurus"
Perpendicular bisector
Pembahagi dua sama serenjang
Circle
Bulatan
Parallel lines
Garis selari
Angle bisector
Pembahagi dua sama sudut
Choose the type of locus for the following description.
Pilih jenis lokus bagi huraian yang berikut:
" Equidistant from two intersecting lines "
"berjarak sama dari garis yang bersilang"
Perpendicular bisector
Pembahagi dua sama serenjang
Circle
Bulatan
Parallel lines
Garis selari
Angle bisector
Pembahagi dua sama sudut
Choose the type of locus for the following description.
Pilih jenis lokus bagi huraian yang berikut:
" Equidistant from two fixed points "
"berjarak sama dari dua titik tetap"
Perpendicular bisector
Pembahagi dua sama serenjang
Circle
Bulatan
Parallel lines
Garis selari
Angle bisector
Pembahagi dua sama sudut
Choose the type of locus for the following description.
Pilih jenis lokus bagi huraian yang berikut:
" Fixed distance from a point "
"berjarak tetap dari satu titik "
Perpendicular bisector
Pembahagi dua sama serenjang
Circle
Bulatan
Parallel lines
Garis selari
Angle bisector
Pembahagi dua sama sudut
The diagram shows a kite.
Rajah di bawah menunjukkan sebuah lelayang.
Locus X: A moving point which is always equidistant from point Q and S
Lokus X: Satu titik bergerak yang sentiasa jarak sama dari titik Q dan titik S.
Based on the lines on the diagram, write the locus of X.
Berdasarkan garis pada rajah, tulis lokus X.
PTUR
PR
QS
QUS
The diagram shows a kite.
Rajah di bawah menunjukkan sebuah lelayang.
Locus Y: A moving point which is such that YP=QP
Lokus Y: Satu titik bergerak yang sentiasa dengan keadaan YP=QP
Based on the lines on the diagram, write the loci Y.
Berdasarkan garis pada rajah, tulis lokus Y.
PTUR
PQ
QS
QUS
Mark / for locus.
Tandakan / bagi lokus.
The orbit of a comet
Orbit komet
Standing straight
Berdiri tegak
The movement of clock hand
Pergerakan jam tangan
The diagram below shows two semicircles, PKLT and QNMS centred at R, with diameters of 8 cm and 4 cm respectively. KNR and RML are arcs of circles centred at P and T respectively.
Based on the diagram above, state
the point which is 2 cm from R and 4 cm from P
K
L
M
N
The diagram below shows two semicircles, PKLT and QNMS centred at R, with diameters of 8 cm and 4 cm respectively. KNR and RML are arcs of circles centred at P and T respectively.
Based on the diagram above, state:
the point which is 2 cm from R and 4 cm from P
K
L
M
N
The diagram below shows two semicircles, PKLT and QNMS centred at R, with diameters of 8 cm and 4 cm respectively. KNR and RML are arcs of circles centred at P and T respectively.
Based on the diagram above, state:
the location of a moving point X in the diagram such that it is less than 4 cm from P and more than 2 cm from R
I
II
III
IV
VI
The diagram below shows two semicircles, PKLT and QNMS centred at R, with diameters of 8 cm and 4 cm respectively. KNR and RML are arcs of circles centred at P and T respectively.
Based on the diagram above, state:
the location of a moving point Y in the diagram such that YR < 2 cm and YP < 4 cm.
I
II
III
IV
VI
The diagram below shows two semicircles, PKLT and QNMS centred at R, with diameters of 8 cm and 4 cm respectively. KNR and RML are arcs of circles centred at P and T respectively.
Based on the diagram above, state:
the location of a moving point Z in the diagram such that ZT > 4 cm, ZP > 4 c m and ZR > 2 cm
I
II
III
IV
VI
In the diagram below, SLMQ, PKLR, QNKS and RMNP are arcs of circles with radii of 4 cm and centred at P, Q, R and S respectively.
Based on the diagram above, state:
the location of a moving point X in the diagram such that XS < 4 cm, XP < 4 c m and XQ > 4 cm
I
II
III
IV
In the diagram below, SLMQ, PKLR, QNKS and RMNP are arcs of circles with radii of 4 cm and centred at P, Q, R and S respectively.
Based on the diagram above, state:
the location of a moving point Y in the diagram such that YR > YP
I
II
III
IV
In the diagram below, SLMQ, PKLR, QNKS and RMNP are arcs of circles with radii of 4 cm and centred at P, Q, R and S respectively.
Based on the diagram above, state:
the location of a moving point Z in the diagram such that ZP < 4 cm, ZQ < 4 cm, ZR < 4 cm and ZS < 4 cm
I
II
III
IV
