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AP Board Class 7 Maths Chapter 12 Quadrilaterals Ex 2 Textbook Solutions PDF: Download Andhra Pradesh Board STD 7th Maths Chapter 12 Quadrilaterals Ex 2 Book Answers |
Andhra Pradesh Board Class 7th Maths Chapter 12 Quadrilaterals Ex 2 Textbooks Solutions PDF
Andhra Pradesh State Board STD 7th Maths Chapter 12 Quadrilaterals Ex 2 Books Solutions with Answers are prepared and published by the Andhra Pradesh Board Publishers. It is an autonomous organization to advise and assist qualitative improvements in school education. If you are in search of AP Board Class 7th Maths Chapter 12 Quadrilaterals Ex 2 Books Answers Solutions, then you are in the right place. Here is a complete hub of Andhra Pradesh State Board Class 7th Maths Chapter 12 Quadrilaterals Ex 2 solutions that are available here for free PDF downloads to help students for their adequate preparation. You can find all the subjects of Andhra Pradesh Board STD 7th Maths Chapter 12 Quadrilaterals Ex 2 Textbooks. These Andhra Pradesh State Board Class 7th Maths Chapter 12 Quadrilaterals Ex 2 Textbooks Solutions English PDF will be helpful for effective education, and a maximum number of questions in exams are chosen from Andhra Pradesh Board.Andhra Pradesh State Board Class 7th Maths Chapter 12 Quadrilaterals Ex 2 Books Solutions
Board | AP Board |
Materials | Textbook Solutions/Guide |
Format | DOC/PDF |
Class | 7th |
Subject | Maths |
Chapters | Maths Chapter 12 Quadrilaterals Ex 2 |
Provider | Hsslive |
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AP Board Class 7th Maths Chapter 12 Quadrilaterals Ex 2 Textbooks Solutions with Answer PDF Download
Find below the list of all AP Board Class 7th Maths Chapter 12 Quadrilaterals Ex 2 Textbook Solutions for PDF’s for you to download and prepare for the upcoming exams:Question 1.
State whether true or false
(i) All rectangles are squares ( )
(ii) All rhombuses are parallelogram ( )
(iii) All squares arc rhombuses and also rectangles ( )
(iv) All squares are not parallelograms ( )
(v) All kites arc rhombuses ( )
(vi) All rhombuses are kites ( )
(vii) All parallelograms are trapeziums ( )
(viii) All squares are trapeziums ( )
Solution:
(i) All rectangles are squares ( False)
(ii) All rhombuses are parallelogram ( True)
(iii) All squares arc rhombuses and also rectangles ( True)
(iv) All squares are not parallelograms (False )
(v) All kites arc rhombuses ( False)
(vi) All rhombuses are kites (True )
(vii) All parallelograms are trapeziums ( True)
(viii) All squares are trapeziums ( True)
Question 2.
Explain how a square is a
(i) quadrilateral
(ii) parallelogram
(iii) rhombus
(iv) rectangle.
Solution:
i) quadrilateral : A square is a closed figure bounded by four line segments and hence it is a
quadrilateral.
ii) Parallelogram : In a square both pairs of opposite sides are parallel and hence it is a parallelogram.
iii) Rhombus : All four sides of a square are equal, thus it is a Rhombus.
iv) Rectangle : In a square each angle ¡s a right angle and hence it is a rectangle.
Question 3.
In a rhombus ABCD, ∠CBA = 40°.
Find the other angles.
Given that ∠CBA , ∠B = 40°
We know that rhombus is a parallelogram and
adjacent angles are supplementary.
Thus ∠A + ∠B = 180°
∠A + 40° = 180°
∠A = 180° – 40° = 140°
Also opposite angles are equal.
∴ ∠A =∠C = 140°
∠D = ∠B = 40°
Question 4.
The adjacent angels of a parallelogram arex° and (2x + 30)°.
Find all the angles of the parallelogram.
Solution:
Given that the adjacent angles of a parallelogram are x° ; (2x + 30)°
Adjacent angles of a parallelogram are supplementary.
∴ x + (2x + 30) = 180°
3x + 30 = 180°
3x = 180° – 30° = 150°
x = 150∘3 = 50°
∴ The adjacent angles are x = 50°
2x + 30°= 2 x 50 + 30 = 130°
∴ The other two angles are 50°, 130°
∴ The four angles are 50°, 130°, 50°, 130°
Question 5.
Explain how DEAR is a trapezium. Which of its two sides are parallel?
Solution:
In quadrilateral DEAR
∠D = 80° and ∠E = 100°
Also ∠D + ∠E = 80°+ 100° = 180°
(∵ D, E are interior angles on the same side of DE⎯⎯⎯⎯⎯⎯⎯⎯)
∴ DR //EA
Also ∠A = ∠R = 90° and ∠A + ∠R = 180°
∴ DEAR is a trapezium.
Question 6.
BASE is a rectangle. Its diagonals intersect atO. Findx, if OB = 5x+1 and OE = 2x + 4.
Solution:
Given BASE is a rectangle.
OB = 5x + 1 and OA = 2x + 4
In a rectangle diagonals are equal.
BS = EA
(i.e.) 2 x BO = 2 x OA
2(5x + 1) = 2(2x + 4 )
10x + 2 = 4x + 8
10x – 4x = 8 – 2
6x = 6
x = 1
Question 7.
Is quadrilateral ABCD a parallelogram, if ∠A = 70° and ∠C = 65° ? Give reason.
Solution:
Given that in quadrilateral ABCD, ∠A = 70° and ∠C = 65°
∠A and ∠C are opposite angles and are not equal.
Hence quadrilateral ABCD is not a parallelogram.
Question 8.
Two adjacent sides of a parallelogram are in the ratio 5:3 the perimeter of the parallelogram is 48cm. Find the length of each of its sides.
Solution:
Given that the ratio of two adjacent sides of a parallelogram = 5 : 3
Sum of the terms of the ratio = 5 + 3 = 8
Sum of two sides = half of the perimeter = 12 x 48 = 24 cm
∴ one side = 58 x 24 = 15 cm
other side = 38 x 24 = 9 cm
∴ The four sides are 15 cm, 9 cm, 15 cm, 9 cm ( opposite sides are equal)
Question 9.
The diagonals of the quadrilateral are perpendicular to each other. Is such a quadrilateral
always a rhombus? Draw a rough figure to justify your answer.
Solution:
Given : Diagonals are perpendicular.
If the diagonals are perpendicular then the
quadrilateral need not necessarily be a rhombus.
Look at the figure,
the diagonals are perpendicular to each other.
But all the sides are not equal.
PR ⊥ QS but PQ ≠ QR ≠ RS ≠ SP
Question 10.
ABCD is a trapezium in which AB⎯⎯⎯⎯⎯⎯⎯⎯‖DC⎯⎯⎯⎯⎯⎯⎯⎯ If ∠A = ∠B =30°, what are the measures of the other two angles?
Solution:
Given : ABCD is a trapezium.
∠A = ∠B = 30°
Since AB//CD,
∠A + ∠D = ∠B + ∠C = 180° (interior angles on the same side of a
transversal are supplementary)
30° + ∠D = 180°
∠D = 180° – 300°
= 150°
and 30° + ∠C = 180°
∠C = 180° – 30’
= 150°
Question 11.
Fill in the blanks.
(i) A parallelogram in which two adjacent sides are equal is a ………………….
(ii) A parallelogram in which one angle is 90° and two adjacent sides are equal is a ………………….
(iii) IntrapeziurnABCD,AB⎯⎯⎯⎯⎯⎯⎯⎯‖DC⎯⎯⎯⎯⎯⎯⎯⎯ . If ∠D = x° then ∠A = ………………
(iv) Every diagonal in a parallelogram divides it into …………………. triangles.
(v) In parallelogram ABCD, its diagonals AB⎯⎯⎯⎯⎯⎯⎯⎯ and BD⎯⎯⎯⎯⎯⎯⎯⎯ intersect atO. IfAO = 5cm then AC = …………….. cm.
(vi) In a rhombus ABCD, its diagonals intersect at ‘O’. Then ∠AOB = …………. degrees.
(vii) ABCD is a parallelogram then ∠A — ∠C = ………………… degrees.
(viii) In a rectangle ABCD, the diagonal AC =10cm then the diagonal BD = …………… cm.
(ix) In a square ABCD, the diagonal AC⎯⎯⎯⎯⎯⎯⎯⎯ is drawn. Then ∠BAC = …………
Solution:
(i) A parallelogram in which two adjacent sides are equal is a rhombus
(ii) A parallelogram in which one angle is 90° and two adjacent sides are equal is a square
(iii) IntrapeziurnABCD,AB⎯⎯⎯⎯⎯⎯⎯⎯‖DC⎯⎯⎯⎯⎯⎯⎯⎯ . If ∠D = x° then ∠A = 180° – x
(iv) Every diagonal in a parallelogram divides it into two congruent triangles.
(v) In parallelogram ABCD, its diagonals AB⎯⎯⎯⎯⎯⎯⎯⎯ and BD⎯⎯⎯⎯⎯⎯⎯⎯ intersect atO. If AO = 5cm then AC = 10 cm.
(vi) In a rhombus ABCD, its diagonals intersect at ‘O’. Then ∠AOB = 90°
(vii) ABCD is a parallelogram then ∠A — ∠C = zero degrees.
(viii) In a rectangle ABCD, the diagonal AC =10cm then the diagonal BD = 10 cm.
(ix) In a square ABCD, the diagonal AC⎯⎯⎯⎯⎯⎯⎯⎯ is drawn. Then ∠BAC = 45°
AP Board Textbook Solutions PDF for Class 7th Maths
- AP Board Class 7 Maths Chapter 1 Integers Ex 1
- AP Board Class 7 Maths Chapter 1 Integers Ex 2
- AP Board Class 7 Maths Chapter 1 Integers Ex 3
- AP Board Class 7 Maths Chapter 1 Integers Ex 4
- AP Board Class 7 Maths Chapter 1 Integers Ex 5
- AP Board Class 7 Maths Chapter 1 Integers Ex 6
- AP Board Class 7 Maths Chapter 1 Integers Ex 7
- AP Board Class 7 Maths Chapter 1 Integers InText Questions
- AP Board Class 7 Maths Chapter 2 Fractions Decimals and Rational Numbers Ex 1
- AP Board Class 7 Maths Chapter 2 Fractions Decimals and Rational Numbers Ex 2
- AP Board Class 7 Maths Chapter 2 Fractions Decimals and Rational Numbers Ex 3
- AP Board Class 7 Maths Chapter 2 Fractions Decimals and Rational Numbers Ex 4
- AP Board Class 7 Maths Chapter 2 Fractions Decimals and Rational Numbers Ex 5
- AP Board Class 7 Maths Chapter 2 Fractions Decimals and Rational Numbers Ex 6
- AP Board Class 7 Maths Chapter 2 Fractions Decimals and Rational Numbers Ex 7
- AP Board Class 7 Maths Chapter 2 Fractions Decimals and Rational Numbers InText Questions
- AP Board Class 7 Maths Chapter 3 Simple Equations Ex 1
- AP Board Class 7 Maths Chapter 3 Simple Equations Ex 2
- AP Board Class 7 Maths Chapter 3 Simple Equations Ex 3
- AP Board Class 7 Maths Chapter 4 Lines and Angles Ex 1
- AP Board Class 7 Maths Chapter 4 Lines and Angles Ex 2
- AP Board Class 7 Maths Chapter 4 Lines and Angles Ex 3
- AP Board Class 7 Maths Chapter 4 Lines and Angles Ex 4
- AP Board Class 7 Maths Chapter 4 Lines and Angles Ex 5
- AP Board Class 7 Maths Chapter 4 Lines and Angles Ex 6
- AP Board Class 7 Maths Chapter 4 Lines and Angles Ex 7
- AP Board Class 7 Maths Chapter 4 Lines and Angles InText Questions
- AP Board Class 7 Maths Chapter 5 Triangle and Its Properties Ex 1
- AP Board Class 7 Maths Chapter 5 Triangle and Its Properties Ex 2
- AP Board Class 7 Maths Chapter 5 Triangle and Its Properties Ex 3
- AP Board Class 7 Maths Chapter 5 Triangle and Its Properties Ex 4
- AP Board Class 7 Maths Chapter 5 Triangle and Its Properties InText Questions
- AP Board Class 7 Maths Chapter 6 Ratio Applications Ex 1
- AP Board Class 7 Maths Chapter 6 Ratio Applications Ex 2
- AP Board Class 7 Maths Chapter 6 Ratio Applications Ex 3
- AP Board Class 7 Maths Chapter 6 Ratio Applications Ex 4
- AP Board Class 7 Maths Chapter 6 Ratio Applications Ex 5
- AP Board Class 7 Maths Chapter 6 Ratio Applications Ex 6
- AP Board Class 7 Maths Chapter 6 Ratio Applications InText Questions
- AP Board Class 7 Maths Chapter 7 Data Handling Ex 1
- AP Board Class 7 Maths Chapter 7 Data Handling Ex 2
- AP Board Class 7 Maths Chapter 7 Data Handling Ex 3
- AP Board Class 7 Maths Chapter 7 Data Handling Ex 4
- AP Board Class 7 Maths Chapter 7 Data Handling InText Questions
- AP Board Class 7 Maths Chapter 8 Congruency of Triangles Ex 1
- AP Board Class 7 Maths Chapter 8 Congruency of Triangles Ex 2
- AP Board Class 7 Maths Chapter 8 Congruence of Triangles Ex 3
- AP Board Class 7 Maths Chapter 8 Congruency of Triangles Ex 4
- AP Board Class 7 Maths Chapter 8 Congruency of Triangles InText Questions
- AP Board Class 7 Maths Chapter 9 Construction of Triangles Ex 1
- AP Board Class 7 Maths Chapter 9 Construction of Triangles Ex 2
- AP Board Class 7 Maths Chapter 9 Construction of Triangles Ex 3
- AP Board Class 7 Maths Chapter 9 Construction of Triangles Ex 4
- AP Board Class 7 Maths Chapter 9 Construction of Triangles InText Questions
- AP Board Class 7 Maths Chapter 10 Algebraic Expressions Ex 1
- AP Board Class 7 Maths Chapter 10 Algebraic Expressions Ex 2
- AP Board Class 7 Maths Chapter 10 Algebraic Expressions Ex 3
- AP Board Class 7 Maths Chapter 10 Algebraic Expressions Ex 4
- AP Board Class 7 Maths Chapter 10 Algebraic Expressions InText Questions
- AP Board Class 7 Maths Chapter 11 Exponents Ex 1
- AP Board Class 7 Maths Chapter 11 Exponents Ex 2
- AP Board Class 7 Maths Chapter 11 Exponents Ex 3
- AP Board Class 7 Maths Chapter 11 Exponents InText Questions
- AP Board Class 7 Maths Chapter 12 Quadrilaterals Ex 1
- AP Board Class 7 Maths Chapter 12 Quadrilaterals Ex 2
- AP Board Class 7 Maths Chapter 12 Quadrilaterals InText Questions
- AP Board Class 7 Maths Chapter 13 Area and Perimeter Ex 1
- AP Board Class 7 Maths Chapter 13 Area and Perimeter Ex 2
- AP Board Class 7 Maths Chapter 13 Area and Perimeter Ex 3
- AP Board Class 7 Maths Chapter 13 Area and Perimeter Ex 4
- AP Board Class 7 Maths Chapter 13 Area and Perimeter Ex 5
- AP Board Class 7 Maths Chapter 13 Area and Perimeter Ex 6
- AP Board Class 7 Maths Chapter 13 Area and Perimeter InText Questions
- AP Board Class 7 Maths Chapter 14 Understanding 3D and 2D Shapes Ex 1
- AP Board Class 7 Maths Chapter 14 Understanding 3D and 2D Shapes Ex 2
- AP Board Class 7 Maths Chapter 14 Understanding 3D and 2D Shapes Ex 3
- AP Board Class 7 Maths Chapter 14 Understanding 3D and 2D Shapes Ex 4
- AP Board Class 7 Maths Chapter 14 Understanding 3D and 2D Shapes InText Questions
- AP Board Class 7 Maths Chapter 15 Symmetry Ex 1
- AP Board Class 7 Maths Chapter 15 Symmetry Ex 2
- AP Board Class 7 Maths Chapter 15 Symmetry Ex 3
- AP Board Class 7 Maths Chapter 15 Symmetry Ex 4
- AP Board Class 7 Maths Chapter 15 Symmetry InText Questions
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