Question

Construct the following quadrilaterals.
ii. A rhombus whose diagonals are 5.2cm and 6.4cm long.
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Answer 1

Answer:

ok

Step-by-step explanation:

To construct a quadrilateral it is necessary to know at least 5 of its parts. Measurement of 5 parts of a quadrilateral are

sufficient to construct it in the following cases:

1.

Four sides and one Diagonal.

Three sides and both diagonals.

2. 3. Two adjacent sides and angles.

4. Three sides and two included angles.

5.

Four sides and one angle.

It is always convenient and helpful to draw a rough sketch of the quadrilateral and indicate the given measurements.

[Figure is in the attachment]

Steps of construction:

(a) Draw a line segment AC = 5.2 cm and draw perpendicular bisectors of AC.

(b) Since, diagonals of rhombus bisect each other at mid-point O, therefore OB=OD = 6.4/2 i.e., 3.2 cm.

(c) Draw two arcs on both sides of AC of radius 3.2 cm from intersection point O, which intersects at B and D.

(d) Join AB, BC, CD and DA.

It is

required rhombus ABCD.

Answer 2

Answer:

Construct the following quadrilaterals.

ii. A rhombus whose diagonals are 5.2cm and 6.4cm long.