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
Find the measure of ∠P and ∠S, if `bar(SP) || bar(RQ)` in the following figure. (If you find m∠R, is there more than one method to find m∠P?).

In the adjacent figure, if seg AB || seg PQ, seg AB ≅ seg PQ, seg AC || seg PR, seg AC ≅ seg PR then prove that, seg BC || seg QR and seg BC ≅ seg QR.

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, E is the mid-point of AD and F is the mid-point of BC. Prove that BFDE is a 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 c and f
All rectangles are parallelograms.
In parallelogram LOST, SN ⊥ OL and SM ⊥ LT. Find ∠STM, ∠SON and ∠NSM.

Two angles of a quadrilateral are each of measure 75° and the other two angles are equal. What is the measure of these two angles? Name the possible figures so formed.
ABCD is a parallelogram. The bisector of angle A intersects CD at X and bisector of angle C intersects AB at Y. Is AXCY a parallelogram? Give reason.
In parallelogram ABCD, the angle bisector of ∠A bisects BC. Will angle bisector of B also bisect AD? Give reason.
