Question 12 Marks
Construct a quadrilateral XYZT in which XY = XZ = 5.7 cm YZ = 4.5 cm ZX = 4.6 cm and XT = 5 cm.
Answer
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39 questions · timed · auto-graded
Question 22 Marks
Construct a quadrilateral ABCD in which AB = AD = 5.3 cm , BC CD = 5 cm and diagonal BD = 6.4 cm.
Answer
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Question 32 Marks
Construct a quadrilateral PQRS in which $PQ =4.5 cm, QR =5.6 cm, RS =4.1 cm$, $\angle Q =60$ and $\angle R =120$.
Answer
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Question 42 Marks
Construct a quadrilateral UVWZ in which UV $=6 cm, VW =5.3 cm, UZ =5 cm$, $\angle U =60$ and $\angle V =75$.
Answer
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Question 52 Marks
Construct a quadrilateral ABCD in which $AB = CD =5.1 cm, BC =4.7 cm$, $DA =4.2 cm$ and $\angle BCD =60$.
Answer
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Question 62 Marks
Construct a regular hexagon of side 3.5 cm, using ruler and compasses only.
Answer
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Question 72 Marks
Construct a regular hexagon of side 2 cm, using ruler and compasses only.
Answer
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Question 82 Marks
Construct a square one of whose diagonals is 5.6 cm.
Answer
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Question 92 Marks
Construct a quadrilateral ABCD in which $AB =4.5 cm, BC =5.2 cm, CD =5 cm$, $DA =4.7 cm$ and $\angle ABC =75$.
Answer
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Question 102 Marks
Construct a rhombus ABCD in which diagonal AC = 5.8 cm and diagonal BD = 6.4 cm.
Answer
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Question 112 Marks
Construct a rhombus ABCD in which AB = 5 cm and diagonal AC = 6.8 cm.
Answer
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Question 122 Marks
Construct a rhombus ABCD in which $AB =4.3 cm$ and $\angle A =45$.
Answer
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Question 132 Marks
Construct a square one of whose diagonals measures 6 cm.
Answer
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Question 142 Marks
Construct a rectangle ABCD in which diagonal AC = 6.3 cm and the angle between the two diagonals is 50.
Answer
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Question 152 Marks
Construct a rectangle ABCD in which AB = 4.5 cm and diagonal AC = 6 cm
Answer
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Question 162 Marks
Construct a rectangle whose adjacent sides are 4.7 cm and 3.2 cm.
Answer
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Question 172 Marks
Construct a parallelogram ABCD in which diagonal AC = 5.6 cm diagonal BD = 6.2 cm and angle between them is 60.
Answer
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Question 182 Marks
Construct a quadrilateral PQRS in which $PQ =4 cm, \angle P =90, QR =4.3 cm$, $RS =3.6 cm$ and $SP =3.2 cm$.
Answer
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Question 192 Marks
In the adjoining figure, equilateral $\triangle EDC$ surmounts square ABCD . If $\angle DEB =x$, find the value of $x$.
Answer
View full question & answer→$x=45$
Question 202 Marks
In the given figure, ABCD is a rhombus in which $\angle A =72$. If $\angle CBD =x$, find the value of $x$.
Answer
View full question & answer→$x=54$
Question 212 Marks
In the adjoining figure, ABCD is a parallelogram in which $\angle BAD =70$ and $\angle CBD =50$.
Calculate :
(i) $\angle ADB$
(ii) $\angle CDB$.
Calculate :
(i) $\angle ADB$
(ii) $\angle CDB$.
Answer
View full question & answer→(i) $\angle ADB =50$
(ii) $\angle CDB =60$
(ii) $\angle CDB =60$
Question 222 Marks
If an angle of a parallelogram is two-third of its adjacent angle, find the angles of the parallelogram.
Answer
View full question & answer→$108,72,108,72$
[Hint. $x+\frac{2}{3} x=180^{\circ}$.]
[Hint. $x+\frac{2}{3} x=180^{\circ}$.]
Question 232 Marks
If a diagonal of a parallelogram bisects one of the angles of the parallelogram, prove that it also bisects the second angle and then the two diagonals are perpendicular to each other.
Answer
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Question 242 Marks
In the adjoining figure, ABCD is a parallelogram.
$BM \perp AC$ and $DN \perp AC$.
Prove that :
(i) $\triangle BMC \equiv \triangle DNA$.
(ii) $BM = DN$.
$BM \perp AC$ and $DN \perp AC$.
Prove that :
(i) $\triangle BMC \equiv \triangle DNA$.
(ii) $BM = DN$.
Answer
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Question 252 Marks
If one angle of a parallelogram is 90, show that each of its angles measures 90.
Answer
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Question 262 Marks
In the given figure, ABCD is a trapezium in which $\angle A =(x+25), \angle B =y, \angle C =95$ and $\angle D =(2 x+5)$.
Find the values of $x$ and $y$.
Find the values of $x$ and $y$.
Answer
View full question & answer→$x=50, y=85$
Question 272 Marks
Construct a regular hexagon of side 3.5 cm , using ruler and compasses only.
Answer
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Question 282 Marks
Construct a regular hexagon of side 2 cm , using ruler and compasses only.
Answer
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Question 292 Marks
Construct a square one of whose diagonals is 5.6 cm .
Answer
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Question 302 Marks
Construct a rhombus ABCD in which diagonal $AC =5.8 cm$ and diagonal $BD =6.4 cm$.
Answer
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Question 312 Marks
Construct a rhombus $A B C D$ in which $A B=5 cm$ and diagonal $AC =6.8 cm$.
Answer
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Question 322 Marks
Construct a rhombus ABCD in which $AB =4.3 cm$ and $\angle A =45^{\circ}$.
Answer
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Question 332 Marks
Construct a square one of whose diagonals measures 6 cm .
Answer
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Question 342 Marks
Construct a rectangle ABCD in which diagonal $AC =6.3 cm$ and the angle between the two diagonals is $50^{\circ}$.
Answer
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Question 352 Marks
Construct a rectangle ABCD in which $AB =4.5 cm$ and diagonal $AC =6 cm$.
Answer
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Question 362 Marks
In the adjoining figure, ABCD is a parallelogram and X is the mid-point of $B C$. The line $A X$ produced meets DC produced at $Q$. The parallelogram AQPB is completed.
Prove that:
(i) $\triangle ABX \cong \triangle QCX$.
(ii) $DC = CQ = QP$.
Prove that:
(i) $\triangle ABX \cong \triangle QCX$.
(ii) $DC = CQ = QP$.
Answer
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Question 372 Marks
In the adjoining figure, $A B C D$ is a parallelogram.
$BM \perp AC$ and $DN \perp AC$.
Prove that:
(i) $\triangle$ BIC $\cong \triangle D N A$.
(ii) $BM = DN$.
$BM \perp AC$ and $DN \perp AC$.
Prove that:
(i) $\triangle$ BIC $\cong \triangle D N A$.
(ii) $BM = DN$.
Answer
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Question 382 Marks
In the given figure, ABCD is a rhombus and $\triangle EDC$ is equilateral. If $\angle BAD =78^{\circ}$, calculate :
(i) $\angle CBE$
(ii) $\angle DBE$.
(i) $\angle CBE$
(ii) $\angle DBE$.
Answer
View full question & answer→$\angle CBE =21^{\circ}, \angle DBE =30^{\circ}$
Question 392 Marks
In the adjoining figure, ABCD is a parallelogram in which $\angle BAD =70^{\circ}$ and $\angle CBD =50^{\circ}$.
Calculate : (i) $\angle ADB$
(ii) $\angle CDB$.
Calculate : (i) $\angle ADB$
(ii) $\angle CDB$.
Answer
View full question & answer→(i) $\angle ADB =50^{\circ}$
(ii) $\angle CDB =60^{\circ}$
(ii) $\angle CDB =60^{\circ}$