2 Marks Questions

Question 12 Marks

We saw that one of the properties of a rectangle is that its opposite sides are parallel. Can this be chosen as a definition of a rectangle? In other words, is every quadrilateral that has opposite sides parallel and equal a rectangle?

Answer

No, this can’t be the definition of a rectangle. A quadrilateral with opposite sides parallel and equal is a parallelogram, but not all parallelograms are rectangles. A rectangle needs all angles to be right angles.

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Question 22 Marks

We have seen how to get 90° using paper folding. Now, suppose we do not have any paper but two sticks of equal length, and a thread. How do we make an exact 90° using these?

Answer

self

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Question 32 Marks

Consider a circle with centre O. Line segments PL and AM are two perpendicular diameters of the circle. What is the figure APML? Reason and/or experiment to figure this out.

Answer

self

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Question 42 Marks

Draw a Venn diagram showing the set of parallelograms, kites, rhombuses, rectangles, and squares. Then, answer the following questions -
(i) What is the quadrilateral that is both a kite and a parallelogram?
(ii) Can there be a quadrilateral that is both a kite and a rectangle?
(iii) Is every kite a rhombus? If not, what is the correct relationship between these two types of quadrilaterals?

Answer

(i) A rhombus is a quadrilateral that is both a kite and a parallelogram.
(ii) A square is a quadrilateral that is both a kite and a rectangle.
(iii) No, every kite is not a rhombus.
Correct relationship: Every rhombus is a kite, but not every kite is a rhombus.

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MATHS 2 Marks Questions

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