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Chapters
1: Rational and Irrational Numbers
Unit 2: Commercial Mathematics
2: Compound Interest (Stage 1) [Basic Concepts]
3: Compound Interest (Stage 2) [Applications]
Unit 3: Algebra
4: Expansions
5: Factorisation
6: Simultaneous (Linear) Equations [Including Problems]
7: Indices [Exponents]
8: Logarithms
Unit 4: Geometry
9: Triangles [Congruency in Triangles]
10: Isosceles Triangles [Including Inequalities]
11: Mid-point Theorem and Its Converse [Including Intercept Theorem]
12: Pythagoras Theorem [Proof and Simple Applications with Converse]
13: Rectilinear Figures [Quadrilaterals: Parallelogram, Rectangle, Rhombus, Square and Trapezium]
▶ 14: Construction of Polygons (Using ruler and compass only)
15: Area Theorems [Proof and Use]
16: Circle
Unit 5: Statistics and Graph Work
17: Statistics
18: Mean and Median [For Ungrouped Data Only]
Unit 6: Mensuration
19: Area and Perimeter of Plane Figures
20: Solids [Surface Area and Volume of 3-D Solids]
Unit 7: Trigonometry
21: Trigonometrical Ratios [Sine, Consine, Tangent of an Angle and their Reciprocals]
22: Solution of Right Triangles [Simple 2-D Problems Involving One Right-angled Triangle]
Unit 8: Co-Ordinate
23: Co-ordinate Geometry
24: Graphical Solution [Solution of Simultaneous Linear Equations, Graphically]
25: Distance Formula
![Selina solutions for Concise Mathematics [English] Class 9 ICSE chapter 14 - Construction of Polygons (Using ruler and compass only) - Shaalaa.com](/images/concise-mathematics-english-class-9-icse_6:e09935b48e334a1e8f06ebb2011509f8.jpg "Selina solutions for Concise Mathematics [English] Class 9 ICSE chapter 14 - Construction of Polygons (Using ruler and compass only)")
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Solutions for Chapter 14: Construction of Polygons (Using ruler and compass only)
Below listed, you can find solutions for Chapter 14 of CISCE Selina for Concise Mathematics [English] Class 9 ICSE.
Selina solutions for Concise Mathematics [English] Class 9 ICSE 14 Construction of Polygons (Using ruler and compass only) Exercise 14 [Page 212]
Multiple Choice Type: Choose the correct answer from the options given below.
A quadrilateral can be constructed, if its ______.
three sides and one angle are known
four sides and one angle are known
two sides and two angles are known
four sides are known
A parallelogram can be constructed, if its ______.
all the four sides are known
opposite sides are known
opposite angles are known
two adjacent sides and contained angle are known
A parallelogram can be constructed, if its ______.
both the diagonals and included angle are given
both the diagonals and one angle are given
both the diagonals are given
one side and one diagonal are given
A trapezium can be constructed, if its ______.
parallel sides are given
non-parallel sides are given
both the non-parallel sides and both the parallel sides are given
four sides are given
A rhombus can be constructed, if its ______.
one side is given
one side and one diagonal are given
one of the diagonals is given
opposite angles are given
Construct a quadrilateral ABCD, when:
AB = 3.2 cm, BC = 5.2 cm, CD = 6.2 cm, DA = 4.2 cm and BD = 5.2 cm.
Construct a quadrilateral ABCD, when:
AB = 7.2 cm, BC = 5.8 cm, CD = 6.3 cm, AD = 4.3 cm and angle A = 75°.
Construct a quadrilateral ABCD, when:
∠ A = 90o, AB = 4.6 cm, BD = 6.4 cm, AC = 6.0 cm and CD = 4.2 cm.
Construct a quadrilateral ABCD, when:
AB = 3.8 cm, AC = 4.8 cm, AD = 2.8 cm, angle A = 105° and angle B = 60°.
Construct a quadrilateral ABCD, when:
BC = 7.5 cm AC = 5.8 cm, AD = 3.6 cm, CD = 4.2 cm and angle A = 120°.
Construct a quadrilateral ABCD, when:
AD = AB = 4 cm, BC = 2.8 cm, CD = 2.5 cm and angle BAD = 45°.
Construct a quadrilateral ABCD, when:
AB = 6.3 cm, BC = CD = 4.2 cm and ∠ABC = ∠BCD = 90°.
Construct a parallelogram ABCD, when:
AB = 4.4 cm, AD = 6.2 cm and AC = 4.8 cm.
Construct a parallelogram ABCD, when:
Diagonal AC = 6.4 cm, diagonals BD = 8.2 cm and angle between the diagonals = 60°.
Construct a parallelogram ABCD, when:
AB = 5.8 cm, diagonal AC = 8.2 cm and diagonal BD = 6.2 cm.
Construct a parallelogram ABCD, when:
AB = 6.0 cm, AD = 5.0 cm and ∠A = 45°.
Construct a parallelogram ABCD, when:
Base AB = 6.5 cm, BC = 4 cm and the altitude corresponding to AB = 3.1 cm.
Construct a parallelogram ABCD, when:
AB = 4.5 cm, ∠B = 120° and the distance between AB and DC = 3.0 cm.
Construct a parallelogram ABCD, when:
Base BC = 5.6 cm, diagonal BD = 6.5 cm and altitude = 3.2 cm.
Construct a rectangle ABCD, when:
Its sides are 6.0 cm and 7.2 cm.
Construct a rectangle ABCD, when:
One side = 4 cm and one diagonal is 5 cm. Measure the length of the other side.
Construct a rectangle ABCD, when:
One diagonal = 6.0 cm and the acute angle between the diagonals = 45o.
Construct a rectangle ABCD, when:
Area = 24 cm2 and base = 4.8 cm2.
Construct a rectangle ABCD, when:
Area = 36 cm2 and height = 4.5 cm.
Construct a trapezium ABCD, when:
AB = 4.8 cm, BC = 6.8 cm, CD = 5.4 cm, angle B = 60o and AD // BC.
Construct a trapezium ABCD, when:
AB = CD = 3.2 cm, BC = 6.0 cm, AD = 4.4 cm and AD // BC.
Construct a rhombus ABCD, when:
Its one side = 6 cm and ∠A = 60o.
Construct a rhombus ABCD, when:
One side = 5.4 cm and one diagonal is 7.0 cm.
Construct a rhombus ABCD, when:
Diagonal AC = 6.3 cm and diagonal BD = 5.8 cm.
Construct a rhombus ABCD, when:
One side = 5.0 cm and height = 2.6 cm.
Construct a rhombus ABCD, when: A = 60° and height = 3.0 cm.
Construct a rhombus ABCD, when: Diagonal AC = 6.0 cm and height = 3.5 cm.
Construct a square ABCD, when: One side = 4.5 cm.
Construct a square ABCD, when: One diagonal = 5.4 cm.
Construct a square ABCD, when: Perimeter = 24 cm.
Construct a rhombus, having given one side = 4.8 cm and one angle = 75o.
Construct a regular hexagon of side 2.5 cm
Construct a regular hexagon of side 3.2 cm
Selina solutions for Concise Mathematics [English] Class 9 ICSE 14 Construction of Polygons (Using ruler and compass only) TEST YOURSELF [Page 213]
Multiple Choice Type: Choose the correct answer from the options given below.
Is it possible to construct a quadrilateral with sides 5 cm, 6 cm, 7 cm, 8 cm and one of the diagonals 15 cm?
Yes
No
Nothing can be said
In a regular hexagon, leading diagonal of it is twice of its side.
Yes
No
Nothing can be said
Statement (1): For a quadrilateral ABCD, if AB = BC = CD = DA = 8 cm, then it is possible to construct this quadrilateral.
Statement (2): It is only possible to construct this quadrilateral if each of its diagonals is greater than 8 cm.
Both the statements are true.
Both the statements are false.
Statement 1 is true, and statement 2 is false.
Statement 1 is false, and statement 2 is true.
Assertion (A): A parallelogram can be constructed if the measures of its diagonals and one side are given.
Reason (R): It is possible to construct this parallelogram as the diagonals bisect each other.
A is true, R is false.
A is false, R is true.
Both A and R are true, and R is the correct reason for A.
Both A and R are true, and R is the incorrect reason for A.
Construct a quadrilateral ABCD with AB = 7 cm, BC = CD = 5 cm and ∠ABC = ∠BCD = 90°.
Construct a trapezium ABCD in which AD//BC, AB = CD = 3.6 cm, BC = 5 cm and AD = 4.5 cm.
Using ruler and compasses, construct a rectangle ABCD with AB = 5 cm and AD = 3.6 cm.
Using ruler and compasses only, construct the quadrilateral ABCD, having given AB = 5 cm, BC = 2.5 cm, CD = 6 cm. angle BAD = 90o and the diagonal AC = 5.5 cm.
Using ruler and compasses only, construct a trapezium ABCD, in which the parallel sides AB and DC are 3.3 cm apart; AB = 4.5 cm, angle A = 120° BC = 4.2 cm and angle B is obtuse.
Using ruler and compasses only, construct the quadrilateral ABCD, having given AB = 5 cm, BC = 2.5 cm CD = 6 cm, ∠BAD = 90o and diagonal BD = 5.5 cm.
Using ruler and compasses only, construct a parallelogram ABCD using the following data: AB = 6 cm, AD = 3 cm and ∠DAB = 45o. If the bisector of ∠DAB meets DC at P,
prove that ∠APB is a right angle.
The perpendicular distance between the pair of opposite sides of a parallelogram are 3 cm and 4 cm, and one of its angles measures 60o. Using a ruler and compasses only,
construct the parallelogram.
Draw parallelogram ABCD with the following data:
AB = 6 cm, AD = 5 cm and ∠DAB = 45o.
Let AC and DB meet in O and let E be the mid-point of BC. Join OE.
Prove that:
(i) OE // AB
(ii) OE = `1/2` AB.
Using ruler and compasses only, construct a rectangle each of whose diagonals measure 6 cm and the diagonals interest at an angle of 45o.
Solutions for 14: Construction of Polygons (Using ruler and compass only)
Selina solutions for Concise Mathematics [English] Class 9 ICSE chapter 14 - Construction of Polygons (Using ruler and compass only)
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Concepts covered in Concise Mathematics [English] Class 9 ICSE chapter 14 Construction of Polygons (Using ruler and compass only) are .
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