Advertisements
Advertisements
Question
Construct a parallelogram HOME with HO = 6 cm, HE = 4 cm and OE = 3 cm.
Advertisements
Solution
Steps of construction:
Step I: Draw HO = 6 cm.
Step II: With H as centre and radius HE = 4 cm, draw an arc.
Step III: With O as centre and radius OE = 3 cm, draw an arc, intersecting the arc drawn in step II at E.
Step IV: With E as centre and radius EM = 6 cm, draw an arc opposite to the side HE.
Step V: With O as centre and radius OM = 4 cm, draw an arc, intersecting the arc drawn in step IV at M.
Step VI: Join HE, OE, EM and OM.
Hence, HOME is the required parallelogram.
APPEARS IN
RELATED QUESTIONS
Consider the given parallelogram. Find the values of the unknowns x, y, z.
Can a quadrilateral ABCD be a parallelogram if ∠D + ∠B = 180°?
Can a quadrilateral ABCD be a parallelogram if AB = DC = 8 cm, AD = 4 cm and BC = 4.4 cm?
Name the quadrilaterals whose diagonals bisect each other
Referring the adjacent figure of a parallelogram, write the answer of questions given below.
(1) If l(WZ) = 4.5 cm then l(XY) = ?
(2) If l(YZ) = 8.2 cm then l(XW) = ?
(3) If l(OX) = 2.5 cm then l(OZ) = ?
(4) If l(WO) = 3.3 cm then l(WY) = ?
(5) If m∠WZY = 120° then m∠WXY = ? and m∠XWZ = ?
In parallelogram ABCD, E is the mid-point of AD and F is the mid-point of BC. Prove that BFDE is a parallelogram.
All rectangles are parallelograms.
In the following figure of a ship, ABDH and CEFG are two parallelograms. Find the value of x.
ABCD is a parallelogram. Find the value of x, y and z.
Construct a parallelogram ABCD in which AB = 4 cm, BC = 5 cm and ∠B = 60°.
