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Chapters
2: Multiplication and Division of Integers
3: HCF and LCM
4: Angles and Pairs of Angles
5: Operations on Rational Numbers
6: Indices
7: Joint Bar Graph
8: Algebraic Expressions and Operations on Them
9: Direct Proportion and Inverse Proportion
10: Banks and Simple Interest
11: Circle
12: Perimeter and Area
13: Pythagoras’ Theorem
14: Algebraic Formulae - Expansion of Squares
15: Statistics
16: Miscellaneous Problems : Set 1
17: Miscellaneous Problems : Set 2
![Balbharati solutions for Mathematics [English] 7 Standard Maharashtra State Board chapter 1 - Geometrical Constructions - Shaalaa.com](/images/mathematics-english-7-standard-maharashtra-state-board_6:7185dce5f97c4fc3ac02bd1d2ea8a6dd.JPG "Balbharati solutions for Mathematics [English] 7 Standard Maharashtra State Board chapter 1 - Geometrical Constructions")
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Solutions for Chapter 1: Geometrical Constructions
Below listed, you can find solutions for Chapter 1 of Maharashtra State Board Balbharati for Mathematics [English] 7 Standard Maharashtra State Board.
Balbharati solutions for Mathematics [English] 7 Standard Maharashtra State Board 1 Geometrical Constructions Practice Set 1 [Page 2]
Draw the line segment of the length given below and draw their perpendicular bisectors.
5.3 cm
Draw the line segment of the length given below and draw their perpendicular bisectors.
6.7 cm
Draw the line segment of the length given below and draw their perpendicular bisectors.
3.8 cm
Draw the angle of the measure given below and draw their bisector.
105°
Draw the angle of the measures given below and draw their bisectors.
55°
Draw the angle of the measure given below and draw their bisector.
90°
Draw an obtuse-angled triangle. Find the points of the concurrence of the angle bisectors of the triangle. Where do the points of concurrence lie?
Draw a right-angled triangle. Find the points of the concurrence of the angle bisectors of the triangle. Where do the points of concurrence lie?
Balbharati solutions for Mathematics [English] 7 Standard Maharashtra State Board 1 Geometrical Constructions Practice Set 2 [Page 4]
In ΔABC, l(AB) = 5.5 cm, l(BC) = 4.2 cm, l(AC) = 3.5 cm
In ∆ STU, l(ST) = 7 cm, l(TU) = 4 cm, l(SU) = 5 cm
In ∆ PQR, l(PQ) = 6 cm, l(QR) = 3.8 cm, l(PR) = 4.5 cm
Draw an isosceles triangle with base 5 cm and the other sides 3.5 cm each.
Draw an equilateral triangle with side 6.5 cm.
Choose the lengths of the sides yourself and draw one equilateral, one isosceles and one scalene triangle.
Balbharati solutions for Mathematics [English] 7 Standard Maharashtra State Board 1 Geometrical Constructions Practice Set 3 [Page 5]
Draw triangle with the measures given below.
In ∆MAT, l(MA) = 5.2 cm, m∠A = 80°, l(AT) = 6 cm
Draw triangle with the measures given below.
In ∆ NTS, m ∠T = 40°, l(NT) = l(TS) = 5 cm
Draw triangle with the measures given below.
In ∆FUN, l(FU) = 5 cm, l(UN) = 4.6 cm, m∠U = 110°
Draw triangle with the measures given below.
In ∆PRS, l(RS) = 5.5 cm, l(RP) = 4.2 cm, m ∠R = 90°
Balbharati solutions for Mathematics [English] 7 Standard Maharashtra State Board 1 Geometrical Constructions Practice Set 4 [Page 6]
Construct a triangle of the measures given below.
In ∆SAT, l(AT) = 6.4 cm, m ∠A = 45°, m ∠T = 105°
Construct a triangle of the measures given below.
In ∆MNP, l(NP) = 5.2 cm, m∠N = 70°, m ∠P = 40°
Construct a triangle of the measures given below.
In ∆EFG, l(EG) = 6 cm, m∠F = 65°, m∠G = 45°
Construct a triangle of the measures given below.
Balbharati solutions for Mathematics [English] 7 Standard Maharashtra State Board 1 Geometrical Constructions Practice Set 5 [Page 6]
Construct a triangle of the measures given below.
Construct a triangle of the measures given below.
In the right-angled ∆STU, hypotenuse SU = 5 cm and l(ST) = 4 cm.
Construct a triangle of the measures given below.
In ∆ABC, l(AC) = 7.5 cm, m ∠ABC = 90°, l(BC) = 5.5 cm.
Construct a triangle of the measures given below.
Students should take examples of their own and practise the construction of triangles.
Balbharati solutions for Mathematics [English] 7 Standard Maharashtra State Board 1 Geometrical Constructions Practice Set 6 [Page 8]
Write the names of pairs of congruent line segments. (Use a divider to find them.)
- .....................
- .....................
- .....................
- .....................
On the line below, the distance between any two adjoining points shown on it is equal. Hence, fill in the blank.
seg AB ≅ seg ______
On the line below, the distance between any two adjoining points shown on it is equal. Hence, fill in the blank.
seg AP ≅ seg ______
On the line below, the distance between any two adjoining points shown on it is equal. Hence, fill in the blank.
seg AC ≅ seg ______
On the line below, the distance between any two adjoining points shown on it is equal. Hence, fill in the blank.
seg ______ ≅ seg BY
On the line below, the distance between any two adjoining points shown on it is equal. Hence, fill in the blank.
seg ______ ≅ seg YQ
On the line below, the distance between any two adjoining points shown on it is equal. Hence, fill in the blank.
seg BW ≅ seg _____
Balbharati solutions for Mathematics [English] 7 Standard Maharashtra State Board 1 Geometrical Constructions Practice Set 7 [Page 10]
Some angles are given below. Using the symbol of congruence write the names of the pairs of congruent angles in these figures.
Solutions for 1: Geometrical Constructions
Balbharati solutions for Mathematics [English] 7 Standard Maharashtra State Board chapter 1 - Geometrical Constructions
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Concepts covered in Mathematics [English] 7 Standard Maharashtra State Board chapter 1 Geometrical Constructions are The Property of the Angle Bisectors of a Triangle, Perpendicular Bisectors of the Sides of an Acute-angled Triangle, Construction of Triangles, Concept of Angle Bisector, Drawing a Perpendicular to a Line at a Point on the Line, Perpendicular Bisectors of the Sides of an Obtuse-angled Triangle, Constructing a Triangle When the Length of Its Three Sides Are Known (SSS Criterion), Constructing a Triangle When the Lengths of Two Sides and the Measure of the Angle Between Them Are Known. (SAS Criterion), Construct a Triangle Given Two Angles and the Included Side, Construct a Right-angled Triangle Given the Hypotenuse and One Side, Congruence Among Line Segments, Congruence of Angles, Congruence of Circles.
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