These NCERT Solutions for Class 8 Maths Chapter 4 Practical Geometry InText Questions and Answers are prepared by our highly skilled subject experts.

## NCERT Solutions for Class 8 Maths Chapter 4 Practical Geometry InText Questions

Try These (Page No. 67)

Question 1.

How will you construct a rectangle PQRS if you know only the lengths PQ and QR?

Solution:

A rectangle can be constructed by taking PQ as the length making an angle 90° at Q and cutting off QR, the breadth from the ray QY. The remaining two points R and S can be located by taking P and R as centres and radii as QR and PQ respectively to draw arcs to intersect at S. Thus, PQRS is the required rectangle.

Question 2.

Construct the kite EASY if AY = 8 cm, EY = 4 cm and SY = 6 cm (Fig 4.26). Which properties of the kite did you use in the process?

Solution:

Following properties have been used in constructing the KITE:

(i) Diagonals are at right angles.

(ii) One of the diagonal bisects the other.

(iii) Pairs of consecutive sides are equal.

Steps of construction:

I. Draw a line segment AY = 8 cm.

II. Draw PQ, the perpendicular bisector of AY such that it meets AY at O.

III. We cannot locate a point E on PQ at 4 cm from Y and A, i.e., EY = 4 cm = EA is not possible.

IV. It is possible only when E and O coincide. In that case, the kite does not exist.