Mathematics
Fill in the following blanks:
(i) An angle whose measure is less than that of a right angle is …..
(ii) An angle greater than 180° and less than a complete angle is called … .
(iii) An angle whose measure is the sum of the measures of two right angles is ….. .
(iv) When the sum of measures of two angles is that of a right angle, then each one of them is …..
(v) When the sum of measures of two angles is that of a straight angle and if one of them is acute then the other is ….. .
(vi) A triangle having one of its angles as right angle and with lengths of two sides equal is called ….. triangle.
(vii) A cuboid has ….. faces, ….. edges and ….. vertices.
(viii) A rectangular pyramid has ….. faces, ….. edges and ….. vertices.
Lines & Angles
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Answer
(i) An angle whose measure is less than that of a right angle is an acute angle.
(ii) An angle greater than 180° and less than a complete angle is called a reflex angle.
(iii) An angle whose measure is the sum of the measures of two right angles is a straight angle (since 90° + 90° = 180°).
(iv) When the sum of measures of two angles is that of a right angle, then each one of them is an acute angle.
(v) When the sum of measures of two angles is that of a straight angle and if one of them is acute, then the other is an obtuse angle.
(vi) A triangle having one of its angles as right angle and with lengths of two sides equal is called an isosceles right-angled triangle.
(vii) A cuboid has 6 faces, 12 edges and 8 vertices.
(viii) A rectangular pyramid has 5 faces, 8 edges and 5 vertices.
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Related Questions
Match the following:
Fill in the blanks:
(i) A cube has ….. square faces, ….. edges and ….. vertices.
(ii) A triangular prism has ….. triangular faces, ….. rectangular faces, ….. edges and ….. vertices.
(iii) A triangular pyramid has ….. faces, ….. edges and ….. vertices.
State whether the following statements are true (T) or false (F):
(i) Each angle of an equilateral triangle is a right angle.
(ii) The adjacent sides of a rectangle are equal in length.
(iii) The diagonals of a rectangle are equal in length.
(iv) The diagonals of a rectangle are perpendicular to one another.
(v) The diagonals of a rhombus are equal in length.
(vi) Any three line segments make up a triangle.
(vii) All the faces of a triangular prism are triangles.
(viii) All the faces of a triangular pyramid are triangles.
State whether the following statement is true or false. Justify your answer.
'An angle whose measure is greater than that of a right angle is obtuse'.