Construct the following quadrilaterals i Quadrilateral LIFT LI 4 cm IF 3 cm TL 25 cm LF 45 cm IT 4 c...

Question

Construct the following quadrilaterals i Quadrilateral LIFT LI 4 cm IF 3 cm TL 25 cm LF 45 cm IT 4 cm ii Quadrilateral GOLD OL 75 cm GL 6 cm GD 6 cm LD 5 cm OD 10 cm iiiRhombus BEND BN 56 cm DE 65 cm

Accepted Answer

i A rough sketch of the quadrilateral LIFT can be drawn as follows 1 ITL can be constructed by using the given measurements as follows 2 Vertex F is 45 cm away from vertex L and 3 cm away from vertex I while taking L and I as centres draw arcs of 45 cm radius and 3 cm radius respectively which will be intersecting each other at point F 3 Join F to T and F to I ii The rough sketch of the quadrilateral GOLD can be drawn as follows 1 GDL can be constructed by using the given measurements as follows 2 Vertex O is 10 cm away from vertex D and 75 cm away from vertex L Therefore while taking D and L as centres draw arcs of 10 cm radius and 75 cm radius respectively These will intersect each other at point O 3 Join O to G and L iii We know that the diagonals of a rhombus always bisect each other at Let us assume that these are intersecting each other at point O in this rhombus Hence EO OD 325 cm The rough sketch of the rhombus BEND can be drawn as follows 1 Draw a line segment BN of 56 cm and also draw its perpendicular bisector Let it intersect the line segment BN at point O 2 Taking O as centre draw arcs of 325 cm radius to intersect the perpendicular bisector at point D and E 3 Join points D and E to points B and N

NCERT Solutions Class 8 Mathematics Solutions for Exercise 4.2 in Chapter 4 - Practical Geometry