Concept Checkers – Practical geometry – Class VIII
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Question 1 of 20
1. Question
What is the appropriate condition to construct a quadrilateral?
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Question 2 of 20
2. Question
If two diagonals and three sides are given, then:
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Question 3 of 20
3. Question
To construct a quadrilateral, we need to know two adjacent side and _____ angles.
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Question 4 of 20
4. Question
To construct a quadrilateral, we need to know two diagonals and _____ sides.
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Question 5 of 20
5. Question
To construct a quadrilateral, we need to know three sides and _____ included angles.
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Question 6 of 20
6. Question
To construct a square, we need to know:
CorrectIncorrectHint
A square has all its sides equal and all the interior angles measure 90 degrees. Hence, if the length of one side is known, then we can construct a square easily.
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Question 7 of 20
7. Question
To construct a rectangle, we need to know:
CorrectIncorrectHint
A rectangle has its parallel sides equal and all the interior angles measure 90 degrees. Hence, if the length and breadth rectangle is known, then we can construct it easily.
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Question 8 of 20
8. Question
If two diagonals are given, then we can construct a:
CorrectIncorrectHint
The two diagonals of a rhombus bisect each other at 90 degrees.
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Question 9 of 20
9. Question
How many measurements are required to construct a quadrilateral, uniquely?
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Question 10 of 20
10. Question
To construct a parallelogram we need to know:
CorrectIncorrectHint
Parallelogram has its parallel sides equal. Also, if one angle is known to us, then we can determine the other angle since the two angles are supplementary.
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Question 11 of 20
11. Question
To construct a quadrilateral uniquely, it is necessary to have the knowledge of at least _____ independent elements.
CorrectIncorrectHint
To construct a quadrilateral, it is necessary to have the knowledge of at least 4 independent elements.
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Question 12 of 20
12. Question
Given below steps of construction a quadrilateral ABCD where AB = 5.2 cm, BC = 4.0 CM, CD = 4.2 cm, AD = 3.3 cm, \(\mathrm{\angle A=60^o}\) which of the following is a wrong step.
(P) step 1: Draw AB = 5.2 cm and construct \(\mathrm{\angle A=60^o}\)
(Q) Step 2 : with A as centre and radius AD = 3.3 cm, cut off AD = 3.3 cm along AX
(R) Step 3 : Join BD with D as centre and radius DC = 4.0 cm, Draw an arc
(S) Step 4 : with B as centre and radius BC = 4.0 cm draw an arc to cut the arc drawn in above step at c. Join BC, CD to obtain the required quadrilateral ABCD.CorrectIncorrect -
Question 13 of 20
13. Question
Given below steps of constructing a quadrilateral PQRS where PQ = 5 cm, QR = 3 cm, RS = 4.2 cm, SP = 3.3 cm and \(\mathrm{\angle P = 45^o}\) which of the following is a wrong step?
(p) step 1: Draw PQ = 5 cm and construct \(\mathrm{\angle P}\).
(Q) Step 2 : with p as centre and radius SP = 3.3 cm, cut off SP along PX.
(R) Step 3: Join with S as centre and radius RS = 3.2 cm, draw an arc
(S) Step 4 : with Q as centre and radius QR = 3 cm draw an arc. Join QR, RS to obtain the required quadrilateral PQRS.CorrectIncorrectHint
RS = 4.2 cm so step 3 is a wrong step.
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Question 14 of 20
14. Question
To construct a convex quadrilateral which of the following cases is not correct?
CorrectIncorrectHint
It is not possible to construct a convex quadrilateral with two sides and two included angles.
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Question 15 of 20
15. Question
To construct a kite which of the following is necessary?
CorrectIncorrectHint
Two adjacent unequal sides and included diagonal means two unequal sides and diagonal from common vertex.
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Question 16 of 20
16. Question
Construction of quadrilateral must satisfy.
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Question 17 of 20
17. Question
Arrange the steps of construction while constructing a parallelogram ABCD given that AB = 5 cm, BC = 4 cm and \(\angle \mathrm{B=60^o}\)
1. With A as centre and radius equal to 4 cm, draws an arc cutting Ay at D.
2. At A, draw \(\mathrm{\angle YAB=120^o}\)
3. At B, draw \(\mathrm{\angle XBA=60^o}\)
4. Draw AB = 5 cm
5. Join CD
6. With B as centre and radius equal to 4 cm, draw an arc cutting BX at C.CorrectIncorrect -
Question 18 of 20
18. Question
It is possible to construct a quadrilateral with the sufficient data (other than 5 simple cases) where less than — parts but some other relations between then are given.
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Question 19 of 20
19. Question
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 \(\mathrm{\angle A = 75^o}\) which of the following steps is incorrect?
Step 1:- Draw AB = 5.6 cm and construct \(\mathrm{\angle BAX=75^o}\)
Step2: 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 = 4.1 cm draw an arc to cut the arc. Join BC, CD to obtain the required uadrilateral ABCDCorrectIncorrect -
Question 20 of 20
20. Question
To construct a quadrilateral PQRS, which of the following parts is necessary?
CorrectIncorrectHint
To construct a quadrilateral measure of at least 5 parts is necessary.