MEDIUM
8th West Bengal Board
IMPORTANT
Earn 100

Prove that the sum of the lengths of two diagonals is greater than the sum of the lengths of any two opposite sides of a quadrilateral.

Important Questions on Geometrical Proofs

MEDIUM
8th West Bengal Board
IMPORTANT
Ganitprabha (MATHEMATICS TEXT BOOK) Class 8>Chapter 20 - Geometrical Proofs>Let's work out - 20.1>Q 7
Prove that the sum of the lengths of two diagonals of a quadrilateral is more than the semi-perimeter of the quadrilateral.
MEDIUM
8th West Bengal Board
IMPORTANT
Ganitprabha (MATHEMATICS TEXT BOOK) Class 8>Chapter 20 - Geometrical Proofs>Let's work out - 20.1>Q 8
From a point inside a quadrilateral (not on any diagonal), we join the vertices of the quadrilateral. Prove that the sum of the lengths of these line segments is greater than the sum of the lengths of these diagonals.
MEDIUM
8th West Bengal Board
IMPORTANT
Ganitprabha (MATHEMATICS TEXT BOOK) Class 8>Chapter 20 - Geometrical Proofs>Let's do - 20.3>Q 1)
Prove logically that the sum of the measurement fo four interior angles of a quadrilateral is 360°.
EASY
8th West Bengal Board
IMPORTANT
Ganitprabha (MATHEMATICS TEXT BOOK) Class 8>Chapter 20 - Geometrical Proofs>Let's do - 20.3>Q 2)

Write by calculating the sum of measurement of eight interior angles of an octagon.

MEDIUM
8th West Bengal Board
IMPORTANT
Ganitprabha (MATHEMATICS TEXT BOOK) Class 8>Chapter 20 - Geometrical Proofs>Let's do - 20.3>Q 3)

Write the measurement of each interior and each exterior angle of a regular polygon with 10 sides.

MEDIUM
8th West Bengal Board
IMPORTANT
Ganitprabha (MATHEMATICS TEXT BOOK) Class 8>Chapter 20 - Geometrical Proofs>Let's do - 20.3>Q 4)

Write by calculating the number of sides of a regular polygon where measurement of each interior angle is 120°.

EASY
8th West Bengal Board
IMPORTANT
Ganitprabha (MATHEMATICS TEXT BOOK) Class 8>Chapter 20 - Geometrical Proofs>Let's Work out - 20.2>Q 1

Write the sum of the measurement of the interior angles of Pentagon.

EASY
8th West Bengal Board
IMPORTANT
Ganitprabha (MATHEMATICS TEXT BOOK) Class 8>Chapter 20 - Geometrical Proofs>Let's Work out - 20.2>Q 1

Write the sum of the measurement of the interior angles of Hexagon.