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Intensive Tutorial Service
Class: 10/SLC
1.
a)
b)
c)
2.
a)
b)
c)
d)
e)
f)
g)
Mathematics Practice Questions
Topic: Geometry - Theorems
Prove that diagonals of a parallelogram divide it into two triangles of
equal area.
Prove that diagonal PR of a given parallelogram PQRS
divides two equal triangles PQR and PSR.
Prove that, diagonal MO of given parallelogram
two equal triangles MNO and MPO.
MNOP
divides
Prove that, parallelograms on the same base between the same
parallels are equal in area.
Parallelograms ABCD and EBCF standing on the same base BC
between the same parallels BC and AF are equal in area prove.
Parallelograms PQRS and MQRN standing on the same base QR
between the same parallels QR and PN are equal in area prove.
Prove that, rectagle MNPQ and parallelogram BNPA standing on the
same base NP between the same parallels NP and MA are equal in
area.
Prove that, rectangle BNPA and parallelogram MNPQ are standing on
the same base NP between the same paralles NP and BQ equal in
area..
In the given figure prove that
area of rectangle MNPF
= area of parallelogram ENPQ
and area of triangle
MNE = area of triangle FPQ.
In the given figure, prove that area of rectangle ABED = area of
area of triangle ABC
parallelogram CBEF and
area of triangle DEF.
Math Practice Questions
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Class: 10/SLC
Mathematics Practice Questions
Topic: Geometry - Theorems
h)
In the given figure prove
i)
DAF = CBE.
ii) ABCD = ABEF.
i)
In the given figure prove
i)
DXM = ZYN
ii)
DXYZ = MXYN.
3.
a)
b)
c)
d)
4.
a)
b)
c)
5.
a)
b)
that
that,
Prove that the area of triangle is equals to half of the area of
parallelogram standing on the same base and between the same
parallels.
Prove that the aera of triangle is equals to twice the area of triangle
standing on the same base and between the same parallels.
Prove that area of triangles MPQ is equal to one half of the area of
parallelogram RPQN standing on the same base PQ and between the
same parallels PQ and MN.
Prove that area of paralegal RMNQ is equals to the twice the area of
triangle PMN standing on the same base MN and between the same
paralles MN and PQ.
Prove that, trianlge standing on the same base between the same
paralles are equal in area.
Prove that area of PEF and QEF standing on the same base EF and
between the same parallels EF and PQ are equal in area.
Prove that area of EPQ and FPQ standing on the same base PQ
and between the same parallels PQ and EF are equal in area.
Prove that, central angle is double of inscribed angle if they stand on
the same are in a circle.
Prove that inscribed angle is half of the central angle if they stand on
the same are in circle.
Math Practice Questions
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Class: 10/SLC
c)
d)
6.
a)
b)
c)
d)
7.
a)
b)
c)
d)
e)
f)
Mathematics Practice Questions
Topic: Geometry - Theorems
P, Q and R are the three point lies on the circumference of circle with
centre A prove that QAR is double of QPR ofter joining PQ, PR AQ
and AR
L, M and N are the three points lies on the circumference of circle
with centre B prove that MBN is double of MLN after joining LM,
LN BM and BN.
Prove that inscribed angle standing on the same are in a circle area
equal.
Prove that angles on the same segment of a circle area equal.
PQMN is a circle with centre R after joining PN, PM, MQ and NQ
prove that PNQ is equal to PMQ.
WXYZ is a circle with centre A after WZ, WY, XY and XZ prove that
WZX is equal to WYX.
Prove that opposite angles of cyclic quadrilateral are supplementary.
Prove that Sum of opposite angles of cyclic quadrilateral are 1800 or
two right angles.
PQRS is a cyclic quadrilateral with centre M prove that P + R =
1800 and Q + S = 1800.
ABCD is a cyclic quadrilateral with centre N prove that A + C =
1800 and B + D = 1800.
W, X, Y & Z are 4 points lies on the circumference of a circle with
centre P. After joining WX, XY, YZ & ZW, Prove that WXY and
WZY are supplementary.
W, X, Y & Z are 4 points lies on the circumference of a circle with
centre Q. After joining WX, XY, YZ & ZW, Prove that XWZ and
XYZ are supplementary.
8.
a) Prove that angle on the semicircle being right angle.
9.
Math Practice Questions
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Class: 10/SLC
a)
Mathematics Practice Questions
Topic: Geometry - Theorems
Prove that if one side of a cyclic quadrilateral is produced, prove that
the exterior angle so formed is equal to the opposite interior angle of
quadrilateral.
10.
a)
Prove that the length of two tangents to a circle at the point of
contact from a external point are equal.
Math Practice Questions
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