Draw a quadrilateral whose diagonals have equal lengths of 8 cm that bisect each other, and intersect at an angle of (i) 30° (ii) 40° (iii) 90° (iv) 140°
intersect at an angle of 30°
A rectangle is formed with diagonals of 8 cm each intersecting at 30°.
intersect at an angle of 40°
A rectangle is formed with diagonals of 8 cm each intersecting at 40°.
intersect at an angle of 90°
A square is formed with diagonals of 8 cm each intersecting at 90°.
intersect at an angle of 140°
A rectangle is formed with diagonals of 8 cm each intersecting at 140°.
Explanation
(i) When equal diagonals bisect each other at any angle, a rectangle is formed. (ii) When equal diagonals bisect each other at any angle, a rectangle is formed. (iii) When equal diagonals bisect each other at right angles, a square is formed. (iv) When equal diagonals bisect each other at any angle, a rectangle is formed.