Haryana State Board HBSE 7th Class Maths Solutions Chapter 10 Practical Geometry Ex 10.1 Textbook Exercise Questions and Answers.
Haryana Board 7th Class Maths Solutions Chapter 10 Practical Geometry Exercise 10.1
Question 1.
Draw a line, say AB, take a point C outside it. Through C, draw using ruler and compasses only, a line parallel to AB.
Solution:
Step :
1. Take a line AB and a point ‘C’ outside ‘AB’.
2. Take any point ‘D’ on line AB and join D to C.
3. With D as centre and a convenient radius, draw an arc cutting 1 at E and DC at F.
4. Now with C as centre and the same radius as in step 3, draw an arc GH cutting CD at K.
5. Place the pointed tip of the compasses at E and adjust the opening so that the pencil tip is at F.
6. With the same opening as in step 5 and with K as centre, draw an arc cutting the arc GH at L.
7. Now join CL to draw a line PQ.
Hence, ∠1 = ∠2 = alternate interior angles.
Question 2.
Draw a line l. Draw a perpendicular to l at any point on l. On this perpendicular choose a point X that is 4 cm away from l. Through X draw a line m parallel to l.
Solution:
Step :
1. Take a line l
2. Take any point B on l,
3. Take a point X out side l and perpendicular 4 cm away from line T.
4. Through X draw a line m. i.e. l \\m
i.e., ∠1 = ∠2 = 90° = alternate angles
Hence line l || line m.
Question 3.
Let ∠ be a line and P be point not on ∠. Through P draw a line m parallel to P. Now join P to any point Q or l. Choose any other point R on m, Through R draw a line parallel to PQ.
Let this meet l at S. What shape do the two sets of parallel lines enclose ?
Solution:
Step :
1. Take a line T.
2. Take a point P out side of T.
3. Through P draw a line m parallel to P at any point Q or l.
4. Draw R on m and parallel to PQ.
5. Line m R meet at point on line l.
Hence, we say, line l is transversal of P || m.