NCERT Class 7 Mathematics Solutions: Chapter 10 –Practical Geometry Exercise 10.1 Part 1

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1. Draw a line, say , take a point outside it. Through , draw a line parallel to using ruler and compasses only.

Answer:

To construct:

A line, parallel to given line by using ruler and compasses.

Steps of construction:

(a) Draw a line-segment and take a point outside .

A Line Segment AB

A line segment AB, and take a point C outside AB

(b) Take any point on and Join .

Take Any Point D on AB

Take any point D on AB and join C to D

(c) With as centre and take convenient radius, draw an arc cutting .

D as Center and Take Convenient Radius

D as center and take convenient radius and arc cutting AB at E and CD at F

(d) With as centre and same radius as in step , draw an arc cutting .

C as Center and Same Radius as in Step 3

C as center and same radius as in step 3, arc GH cutting CD at I

(e) With the same arc , draw the equal arc cutting .

The Same Arc EF and Arc Cutting GH at J

The same arc EF and arc cutting GH at J

(f) Join JC to draw a line l.

Join JC to a Line I

Join JC to a line I