Exercise 4.5 - Chapter 4 Practical Geometry class 8 ncert solutions Maths - SaraNextGen [2024-2025]

Updated By SaraNextGen

On April 24, 2024, 11:35 AM

Question 1:

Draw the following:

The square READ with RE = 5.1 cm

Answer:

All the sides of a square are of the same measure and also all the interior angles of a square are of 90º measure. Therefore, the given square READ can be drawn as follows.

(1)A rough sketch of this square READ can be drawn as follows.

(2) Draw a line segment RE of 5.1 cm and an angle of 90º at point R and E.

(3) As vertex A and D are 5.1 cm away from vertex E and R respectively, cut line segments EA and RD, each of 5.1 cm from these rays.

(4) Join D to A.

READ is the required square.

Question 2:

Draw the following:

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

Answer:

In a rhombus, diagonals bisect each other at 90º. Therefore, the given rhombus ABCD can be drawn as follows.

(1)A rough sketch of this rhombus ABCD is as follows.

(2) Draw a line segment AC of 5.2 cm and draw its perpendicular bisector. Let it intersect the line segment AC at point O.

(3) Draw arcs of  on both sides of this perpendicular bisector. Let the arcs intersect the perpendicular bisector at point B and D.

(4) Join points B and D with points A and C.

ABCD is the required rhombus.

Question 3:

Draw the following:

A rectangle with adjacent sides of length 5 cm and 4 cm.

Answer:

Opposite sides of a rectangle have their lengths of same measure and also, all the interior angles of a rectangle are of 90º measure. The given rectangle ABCD may be drawn as follows.

(1)A rough sketch of this rectangle ABCD can be drawn as follows.

(2) Draw a line segment AB of 5 cm and an angle of 90º at point A and B.

(3) As vertex C and D are 4 cm away from vertex B and A respectively, cut line segments AD and BC, each of 4 cm, from these rays.

(4) Join D to C.

ABCD is the required rectangle.

Question 4:

Draw the following:

A parallelogram OKAY where OK = 5.5 cm and KA = 4.2 cm.

Answer:

Opposite sides of a parallelogram are equal and parallel to each other. The given parallelogram OKAY can be drawn as follows.

(1)A rough sketch of this parallelogram OKAY is drawn as follows.

(2) Draw a line segment OK of 5.5 cm and a ray at point K at a convenient angle.

(3) Draw a ray at point O parallel to the ray at K. As the vertices, A and Y, are 4.2 cm away from the vertices K and O respectively, cut line segments KA and OY, each of 4.2 cm, from these rays.

(4) Join Y to A.

OKAY is the required parallelogram.