Construct a rhombus whose side is 5 cm and one angle is of 60°
Construct a parallelogram ABCD in which AB = 4 cm, BC = 5 cm and ∠B = 60°.
Construct a trapezium ABCD in which AB||DC, ∠A = 105°, AD = 3 cm, AB = 4 cm and CD = 8 cm.
Find maximum number of acute angles which a convex, a
quadrilateral, a pentagon and a hexagon can have. Observe the
pattern and generalise the result for any polygon.
A regular pentagon ABCDE and a square ABFG are formed on
opposite sides of AB. Find ∠BCF.
In parallelogram ABCD, the angle bisector of ∠A bisects BC. Will
angle bisector of B also bisect AD? Give reason
ABCD is a parallelogram. Points P and Q are taken on the sides AB
and AD respectively and the parallelogram PRQA is formed. If ∠C =
45°, find ∠R.
ABCD is a rhombus such that the perpendicular bisector of AB passes
through D. Find the angles of the rhombus.
Hint: Join BD. Then ∆ ABD is equilateral.
The angle between the two altitudes of a parallelogram through the
vertex of an obtuse angle of the parallelogram is 45°. Find the angles
of the parallelogram.
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