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
In the given figure, if points P, Q, R, S are on the sides of parallelogram such that AP = BQ = CR = DS then prove that `square`PQRS is a parallelogram.
ABCD is a parallelogram. What kind of quadrilateral is it if: AC is perpendicular to BD but is not equal to it?
In parallelogram ABCD, X and Y are midpoints of opposite sides AB and DC respectively. Prove that:
(i) AX = YC
(ii) AX is parallel to YC
(iii) AXCY is a parallelogram.
Use the information given in the alongside diagram to find the value of x, y, and z.
If a triangle and a parallelogram lie on the same base and between the same parallels, then prove that the area of the triangle is equal to half of the area of parallelogram
Iron rods a, b, c, d, e, and f are making a design in a bridge as shown in the figure. If a || b, c || d, e || f, find the marked angles between d and e
If two adjacent angles of a parallelogram are (5x – 5)° and (10x + 35)°, then the ratio of these angles is ______.
In parallelogram PQRS, O is the mid point of SQ. Find ∠S, ∠R, PQ, QR and diagonal PR.
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.
In the following figure, FD || BC || AE and AC || ED. Find the value of x.
