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question_answer1)
Given below are the steps of construction to construct a quadrilateral ABCD where AB = 5.6 cm, BC = 4.1 cm, CD = 4.4 cm, AD = 3.3 cm and\[\angle A=75{}^\circ \]. Which of the following steps is INCORRECT?
Step 1: Draw \[\text{AB = 5}\text{.6 cm}\]and construct\[\angle BAX=75{}^\circ \]. |
Step 2: With A as centre and radius = 3.3 cm, cut off AD = 3.3 cm along AX. |
Step 3: Join BD. With D as centre and radius = 4.1 cm, draw an arc. |
Step 4: With B as centre and radius \[=4.1cm\], draw an arc to cut the arc drawn in above step at C. Join BC, CD to obtain the required quadrilateral ABCD. |
A)
Step 1 only done
clear
B)
Step 2 only done
clear
C)
Step 3 only done
clear
D)
Step 4 only done
clear
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question_answer2)
It is possible to construct a quadrilateral with the sufficient data (other than five simple cases), where less than ____ parts but some other relations between them are given.
A)
Four done
clear
B)
Five done
clear
C)
Three done
clear
D)
Two done
clear
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question_answer3)
Arrange the steps of construction while constructing a parallelogram ABCD, given that\[\text{AB = 5 cm}\], \[BC\text{ = }4\text{ }cm\]and\[\angle B=60{}^\circ \].
1. With A as centre and radius equal to 4 cm, draw an arc cutting AY at D. |
2. At A, draw \[\angle YAB=\text{ }120{}^\circ \]. \[[\because A+B=180{}^\circ ]\] |
3. At B, draw \[\angle XBA=60{}^\circ \]. |
4. Draw \[AB=5cm\]. |
5. Join CD. |
6. With B as centre and radius equal to 4 cm, drawn an arc cutting BX at C. |
A)
4, 3, 6, 2, 1, 5 done
clear
B)
4, 3, 2, 6, 5, 1 done
clear
C)
4, 6, 3, 1, 2, 5 done
clear
D)
4, 3, 6, 2, 5, 1 done
clear
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question_answer4)
Arrange the steps of construction while constructing a quadrilateral ABCD given AB = 5.1 cm, AO = 4 cm, BC = 2.5 cm, \[\angle A=60{}^\circ \] and \[\angle B=85{}^\circ .\]
Step 1: With B as centre and radius 2.5 cm, cut off BC = 2.5 cm along BY. |
Step 2 : Construct \[\angle XAB=60{}^\circ \] at A. |
Step 3: Join\[CD\]. |
Step 4: With A as centre and radius 4cm, cut off AD =4 cm along AX. |
Step 5: Draw \[\text{AB=5}\text{.1 cm}\]. |
Step 6: Construct \[\angle ABY=85{}^\circ \] at \[B\]. |
A)
5, 2, 4, 1, 3, 6 done
clear
B)
5, 4, 2, 1. 6, 3 done
clear
C)
5, 2, 4, 6, 1, 3 done
clear
D)
5, 2, 4, 1, 6, 3 done
clear
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question_answer5)
If AB||DC, AB=7cm, BC=6cm, AD=6.5cm and\[\angle B=70{}^\circ \], then which figure can be constructed?
A)
Square done
clear
B)
Trapezium done
clear
C)
Rhombus done
clear
D)
Rectangle done
clear
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question_answer6)
Given below are the steps of construction of a quadrilateral ABCD, where AB = 3.5 cm, BC = 6.5 cm, \[\angle A=75{}^\circ \], \[\angle B=105{}^\circ \]and\[\angle C=120{}^\circ \]. Which of the following steps is INCORRECT?
Step 1: Draw AB= 3.5cm. |
Step 2: Draw \[\angle XAB\text{ }=\text{ }75{}^\circ \] at A and \[\angle ABY=105{}^\circ \] at \[B\]. |
Step 3: With B as centre and radius\[BC=6.5\text{ }cm\], draw an arc to intersect BV at C. |
Stap4: At C, draw \[\angle ADC\text{ }=\text{ }120{}^\circ \]such that \[CZ\] meets AX at D. |
A)
Step 1 only done
clear
B)
Step 2 only done
clear
C)
Step 3 only done
clear
D)
Step 4 only done
clear
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question_answer7)
To construct a kite, which of the following is necessary?
A)
Two adjacent unequal sides and included diagonal done
clear
B)
Two adjacent equal sides and included diagonal done
clear
C)
Length of opposite sides done
clear
D)
None of these done
clear
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question_answer8)
Which of the following statements is true about the construction of a quadrilateral where AB = 3 cm, BC = 5 cm, AC = 9 cm, AD = 6 cm. CD =2 cm?
A)
It is possible to draw the quadrilateral. done
clear
B)
It is not possible to draw the quadrilateral, since \[AD\div DC<AC\]. done
clear
C)
It is possible to draw the quadrilateral, since\[AD+DC<AC\] done
clear
D)
None of these done
clear
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question_answer9)
To construct a quadrilateral ABCD, which of the following parts is necessary?
A)
Length of AB done
clear
B)
Length of BC done
clear
C)
Measure of\[\angle A\], \[\angle B\]and \[\angle C\] done
clear
D)
All of these done
clear
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question_answer10)
Which of the given properties of a parallelogram is necessary to construct it?
A)
Opposite sides of a parallelogram done
clear
B)
Opposite angles of a parallelogram done
clear
C)
Diagonals of a parallelogram done
clear
D)
Both (a) and (b) done
clear
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question_answer11)
Arrange the steps of construction while constructing a quadrilateral ABCD given AB = 5.3 cm, AD = 2.9 cm, \[\angle A=70{}^\circ \], \[\angle B=95{}^\circ \] and\[\angle C=85{}^\circ \].
Step 1: With A as centre and radius 2.9 cm, draw an arc to cut AX at D. |
Step 2: At B, draw \[\angle \text{ZBA=95 }\!\!{}^\circ\!\!\text{ }\] so that ZB intersects YD at C, |
Step 3: Draw AB= 5.3cm. |
Step4: At D draw \[\angle DY=110{}^\circ \] |
Step 5: At A draw \[\angle XAB=70{}^\circ .\] |
A)
3, 4, 2, 1, 5 done
clear
B)
3, 5, 1, 4, 2 done
clear
C)
3, 1, 5, 4, 2 done
clear
D)
3. 5, 4, 2, 1 done
clear
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question_answer12)
Match the following.
Column - I | Column - II |
(P) Construction of a quadrilateral can be possible if at least | (1) two unequal sides and included diagonal are given |
(Q) Construction of quadrilateral must satisfy | (2) Five independent elements are given |
(R) A kite can be drawn if its | (3) 4 sides, 4 angles and 2 diagonals |
(S) A quadrilateral has | (4) triangle inequality and angle sum property of a triangle. |
A)
B)
C)
D)
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question_answer13)
Arrange the steps (i) to (iv) in correct order, while constructing a parallelogram ABCD, given\[\overline{AB}=6\text{ }cm\], \[\overline{AD}=4\text{ }cm\], and diagonal\[\overline{BD}=3\text{ }cm\].
Step 1: Draw \[\overline{AB}=6\text{ }cm\] |
Step (i): Join \[\overline{AD}\] and\[\overline{BD}\]. |
Step (ii): With A as centre, draw an arc of radius 4 cm. |
Step (iii): With B and D as centres and with 4 cm and 6 cm as radii, respectively, draw arcs to cut each other at C. |
Step (iv): With B as centre, draw an arc of radius 3 cm to cut the arc drawn in step (ii) at point D. |
Step 6 : Join \[\overline{\text{CD}}\] and\[\overline{BC}\], ABCD is the required parallelogram. |
A)
(ii), (iv), (iii), (i) done
clear
B)
(iii), (ii), (v), (iv) done
clear
C)
(ii), (iv), (i), (iii) done
clear
D)
None of these done
clear
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question_answer14)
To construct a convex quadrilateral, which of the following cases is INCORRECT?
A)
When the lengths of four sides and one diagonal are given, done
clear
B)
When the lengths of three sides and the two diagonals are given. done
clear
C)
When the lengths of four sides and one angle are given, done
clear
D)
When the lengths of two sides and two included angles are given. done
clear
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question_answer15)
Which of the following steps is INCORRECT while constructing a rhombus ABCD, given that AC = 8 cm and BD = 6 cm?
Step 1: Draw\[\text{AC=8 cm}\]. |
Step 2: Draw PQ, the perpendicular of AC. PQ intersects AC at point O. |
Step 3: With O as centre and radius equal to 3 cm, drawn an arc cutting OP at D. |
Step 4: With O as centre and radius equal to 3 cm, draw another arc cutting OQ at B. |
Step 5: Join AB, BC, CD and DA. |
A)
Step 2 only done
clear
B)
Step 3 only done
clear
C)
Step 4 only done
clear
D)
Both Step 2 and Step 5 done
clear
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