(i) AC + BD = AD + BC

(ii) AB + CD =AD — BC

(i) starts at 12 and makes 1/2 of a revolution, clockwise?

(ii) starts at 2 and makes 1/2 of a revolution, clockwise?

(iii) starts at 5 and makes 1/4 of a revolution, clockwise?

(iv) starts at 5 and makes 3/4 of a revolution, clockwise?

(i) 3 to 9

(ii) 5 to 8

(iii) 8 to 11

(iv) 12 to 9

(v) 2 to 11

(vi) 6 to 3

(i) East and make 1/2 of a revolution clockwise?

(ii) East and make 1*1/2 of a revolution clockwise?

(iii) west and make 3/4 of a revolution anti-clockwise?

(iv) South and make one full revolution ?

1. If you stand facing North and turn in either direction through a complete revolution in which direction are you facing?

2. If you stand facing West and turn clockwise to face South, what part of a revolution have you turned through?

3. If B is the mid-point of AC and C is the mid-point of BD , where A, B, C, D lie on a straight line, say, why AB = CD?

4. Draw five triangles and measure their sides, check in each case, if the sum of length of any two sides is greater than the third side.

5. Give three examples of angles from your daily life.

6. Can a triangle have two right angles?

7. Can a triangle have two obtuse angles?

8. Can an obtuse angled triangle be an equilateral triangle?

9. Draw a rhombus ABCD with AB = 6 cm and AC = 5 cm.

10. What is a trapezium? When do you call a trapezium an isosceles trapezium?

11. Name the quadrilateral which has just one pair of parallel sides.

12. The ratio of two sides of a parallelogram is 3:4. If its perimeter is 56 cm, find the lengths of the sides of the parallelogram.

13. The adjacent sides DA and AB of a parallelogram ABCD are 3 cm each. State the measurements of all the sides. What is another name for this figure?

14. A regular polygon has equal angles. Is this true?

15. Draw a rough sketch of a regular hexagon. Connecting any three of its vertices, draw a triangle. Identify the type of the triangle you have drawn.

16. A diagonal is a line segment that joins any two vertices of the polygon and is not a side of the polygon. Draw a rough sketch of a pentagon and draw its diagonals.

(i) 42°

(ii) 92°

(iii) 179°

(iv) 205°

(v) 0°

(vi) 79°

(vii) 90°

(viii) 1°

(ix) 359°

(x) 360°

(xi) 100°

(xii) 180°

(i) 3:00 p.m.

(ii) 12 noon

(iii) 8:00 a.m.

(iv) 9:00 a.m.

(v) 10:00 a.m.

(vi) 4:00 p.m.

(i) 6 cm , 8 cm, 10 cm

(ii) 5.8 cm, 7 cm, 5.8 cm

(iii) 6.9 cm, 8.3 cm, 9.2 cm

(iv) 4.5 cm, 4.5 cm, 4.5 cm

(i) 40°, 60°, 80°

(ii) 15°, 75°, 90°

(iii) 10°, 20°, 150°

(iv) 60°, 60°, 60°

(v) 70°, 70°, 40°

(vi) 20°, 20°, 140°

(a) A square can be thought of as a special rectangle.

(b) A rectangle can be thought of as a special parallelogram.

(c) A square can be thought of as a special rhombus.

(d) Squares, rectangles, parallelograms are all quadrilaterals.

(e) Square is also a parallelogram.

(i) A five-sided polygon is called as ________________.

(ii) The number of sides of a hexagon is ________________.

(iii) If the sum of all the angles of a polygon is 360° it is called a ________________.

(iv) The diagonal of a rhombus bisect each other at ________________.

(v) A cube is a special cuboid whose all sides are _____________.

(vi) A cuboid has _____________ vertices, _________ faces and _________ edges.

(vii) The ____________ faces of cuboid are identical.

(viii) A square pyramid has _____________ lateral triangular faces and __________ edges.

(i) a cone

(ii) a cuboid

(iii) a cylinder