CBSE Class 6 Mathematics Question 26 of 26

Playing with Constructions — Question 26

Back to all questions
26
Question
Is there a 4-sided figure in which all the sides are equal in length but is not a square? if such a figure exists, can you construct it?
Answer

Yes, there is a 4-sided figure where all sides are equal in length but is not a square. This figure is known as a rhombus.
Steps
(i) Draw a line segment AB of any length.
Let it will be 5 cm.
(ii) Draw any angle less than 90° at point A. Let will be 70°.
(iii) Mark the point D using ruler of length 5 cm and ray AX.
(iv) Now, draw two circles of radius 5 cm at point D and B and they will intersect at point C.
(v) Join BC and DC.
ABCD is required 4-sided figure.