Skip to main content

ex 17c class 6 icse math

 

 

1. Name each shape:

Shapes and Their Names

Shape

Name

(i)

Parallelogram

(ii)

Trapezium

(iii)

Rectangle

(iv)

Trapezium

(v)

Parallelogram

(vi)

Rhombus

(vii)

Square

(viii)

Rhombus

(ix)

Trapezium

(x)

Kite

2. Fill in the blanks:

  • (i) A quadrilateral with all sides and all angles equal is a square.
  • (ii) A quadrilateral with four equal sides and no right angles can be called a rhombus.
  • (iii) A quadrilateral with exactly two sides parallel is a trapezium.
  • (iv) The diagonals of this quadrilateral are equal but not perpendicular. The quadrilateral is a rectangle.

3. Determine if the given statements are sometimes, always, or never true:

  • (i) A parallelogram is a quadrilateral. → Always true
  • (ii) A rhombus is a square. → Sometimes true (only if all angles are 90°)
  • (iii) A rectangle is a square. → Sometimes true (only if all sides are equal)
  • (iv) A square is a rectangle. → Always true
  • (v) A parallelogram is a trapezium. → Sometimes true (only if it has one pair of parallel sides)
  • (vi) A trapezium is a quadrilateral. → Always true
  • (vii) A square is a rhombus. → Always true
  • (viii) Four-sided plane figures are parallelograms. → Sometimes true (only if both pairs of opposite sides are parallel)

4. Write 'T' for True or 'F' for False:

  • (i) Each angle of a rectangle is a right angle. → T
  • (ii) The opposite sides of a rectangle are equal in length. → T
  • (iii) The diagonals of a square are perpendicular to one another. → T
  • (iv) The diagonals of a rhombus are of equal length. → F (They are perpendicular but not necessarily equal unless it's a square)
  • (v) All the sides of a rhombus are of equal length. → T
  • (vi) All the sides of a parallelogram are of equal length. → F (Only opposite sides are equal)
  • (vii) The opposite sides of a trapezium are parallel. → F (Only one pair of sides is parallel)

5. Give reasons for the following:

  • (i) A square can be thought of as a special rectangle. Reason: A square has all the properties of a rectangle (four right angles, opposite sides equal and parallel) and also has all sides equal.
  • (ii) A rectangle can be thought of as a special parallelogram. Reason: A rectangle has all the properties of a parallelogram (opposite sides equal and parallel) and also has all angles equal to 90°.
  • (iii) A square can be thought of as a special rhombus. Reason: A square has all the properties of a rhombus (all sides equal, opposite sides parallel) and also has all angles equal to 90°.
  • (iv) Squares, rectangles, parallelograms are all quadrilaterals. Reason: All these shapes have four sides, making them quadrilaterals.
  • (v) Square is also a parallelogram. Reason: A square has both pairs of opposite sides parallel and equal, which is a property of parallelograms.

6. Multiple Choice Questions (MCQs):

  • A quadrilateral whose diagonals are equal and bisect each other at right angles is a: (d) Square
  • A quadrilateral-shaped photo-frame has all sides equal. Which of the following is not a possible shape for the photo-frame? (b) Rectangle (A rectangle does not necessarily have all sides equal)
  • A figure is said to be regular if its sides are equal in length and angles are equal in measure. Can you identify the regular quadrilateral? (c) Square
  • Which quadrilateral is not a parallelogram? (b) Trapezium (A trapezium has only one pair of parallel sides, while a parallelogram has two pairs)

 

 

Comments

Post a Comment

Popular posts from this blog

Lumbering in Canada

  Lumbering in Canada 1. Acknowledgment I would like to express my heartfelt gratitude to my geography teacher for providing me with the opportunity to work on this enriching project. His invaluable guidance, support, and encouragement throughout the project have been instrumental in its successful completion. I am also deeply thankful to my parents for their unwavering support and motivation, which helped me stay focused and dedicated. I extend my sincere thanks to my friends and classmates , who provided insights, shared information, and encouraged me at every step of the project. Additionally, I am grateful to all the authors, textbook sources, and online resources that provided relevant information and made my research more comprehensive and accurate. This project has been a great learning experience, and I appreciate everyone who contributed to it in any way. 2. Introduction Canada is one of the most forested countries in the world. Almost 40% of...
Post a Comment
Read more

Different states of Matter Project class 6

  📑 1. CONTENTS Sl. No. Topic Page No. 2 ACKNOWLEDGEMENT 1 3 INTRODUCTION 2 4 What is Matter? 3 5 Composition of Matter 4 6 What is an Atom and Molecule? 5 7 The Three States of Matter 6 8 Characteristics of Solids 7 9 Characteristics of Liquids 8 10 Characteristics of Gases 9 11 Comparison Table of the Three States of Matter 10 12 Activities and Experiments on States of Matter 11 13 Changes in the States of Matter 12 14 Evaporation and Condensation 13 15 Importance of States of Matter in Daily Life 14 ...
Post a Comment
Read more

TEST-1 , 4TH November 2024

  A.Choose the correct option                                                  10 × 1=10   1. Who was Amelia Earhart's first flight instructor? a) Wilmer Stultz b) Louis E. Gordon c) Charles Lindbergh d) Anita Snook   2. What was the name of Amelia Earhart's first plane? a) The Spirit of St. Louis b) The Canary c) The Phoenix d) The Eagle   3.What can happen if there is an imbalance in the ecosystem? a) Increased biodiversity b) Improved air quality c) Decreased water pollution d) Disruption of food chains and loss of species   4.What is the role of decomposers in the ecosystem? a) To produce food b) To pollinate plants c) To break down dead organisms d) To provide shelter ...
Post a Comment
Read more