(i) Draw a line AB equal to 8 cm. Take point M on AB such that AM = BM = 4 cm. Using a protractor, draw an angle of 30° at M on MB. On this line, take points C and D such that MC = MD = 4 cm. Join AD, DB, BC, and CA. ABCD is the required quadrilateral. Since diagonals AB and CD are equal and are bisecting each other at M, ACBD is a rectangle. (ii) Draw a line AB equal to 8 cm. Take point M on AB such that AM = BM = 4 cm. Using a protractor, draw an angle of 40° at M on MB. On this line, take points C and D such that MC = MD = 4 cm. Join AD, DB, BC, and CA. ABCD is the required quadrilateral. Since diagonals AB and CD are equal and are bisecting each other at M, ACBD is a rectangle. (iii) Draw a line AB equal to 8 cm. Take a point M on AB such that AM = BM = 4 cm. Using a protractor, draw an angle of 90° at M on MB. On this line, take points C and D such that MC = MD = 4 cm. Join AD, DB, BC, and CA. ACBD is the required square. Since diagonals AB and CD are equal and are bisecting each other at M, and also the diagonals are perpendicular to each other, ACBD is a square. (iv) Draw a line AB equal to 8 cm. Take a point M on AB such that AM = BM = 4 cm. Using a protractor, draw an angle of 140° at M on MB. On this line, take points C and D such that MC = MD = 4 cm. Join AD, DB, BC, and CA. ACBD is the required quadrilateral. Since diagonals AB and CD are equal and are bisecting each other at M, ACBD is a rectangle.