# Ncert Solutions For Class 8 Maths Ex 4.5

## Ncert Solutions For Class 8 Maths Chapter 4 Ex 4.5

Question 1:

Draw the quadrilateral according to the given information.

Draw the square BEST with the length 6.1 cm.

BE = 6.1 cm

Steps to construct the square

(i) Draw BE = 6.1 cm. Construct an angle of 90$90^{\circ}$ at point E and at point B.

(ii) Vertex T and S are 6.1 cm away from point B and E respectively. Therefore cut the line segments SE and BT of 6.1 cm.

(iii) Join T to S.

Thus we get the required square BEST.

Question 2:

Draw the rhombus according to the given information.

Measurements of the diagonals are 4.2 cm and 5.4 cm long.

In any rhombus, diagonals are perpendicular to each other.

(i) Draw a line segment PR of 4.2 cm and draw a perpendicular bisector of PR. Let the point of intersection be M.

(ii) Draw arcs of 5.42$\frac{5.4}{2}$ = 2.7 cm on both the sides of the perpendicular bisector. Let the point of intersection of arcs and perpendicular bisector as S and Q.

(iii) Join points S and Q with points P and R.

Thus we get the required rhombus PQRS.

Question 3:

Draw the rectangle according to the given information.

Measurements of the adjacent sides are 6 cm and 3 cm long.

In rectangle, opposite sides have same lengths and measure of all the interior angles is 90$90^{\circ}$.

(i) Draw line – segment PQ of 6 cm and draw an angle of 90$90^{\circ}$ at point P and Q.

(ii) Vertices R and S are 3 cm away from point Q and P respectively. Thus, arcs cut the line – segments PS and QR, 3 cm away.

(iii) Join S to R.

Question 4:

Draw the parallelogram NICE according to the given information.

Measure of NI = 7 cm and IC = 4.5 cm long.

In parallelogram, opposite sides have same length and they are parallel to each other.

(i) Draw a line – segment NI of 7 cm and a ray at point I at any angle.

(ii) Draw a ray from point O which is parallel to the ray at I. The vertices E and C are 4.5 cm away from vertices N and I respectively. Cut the line – segments IC and NE of 4.5 cm.

(iii) Join E to C.

Thus this is the required parallelogram NICE.