Updated By SaraNextGen

On March 11, 2024, 11:35 AM

Question 1:

Draw any line segment . Mark any point M on it. Through M, draw a perpendicular to . (Use ruler and compasses)

Answer:

(1) Draw the given line segment   and mark any point M on it.

(2) With M as centre and a convenient radius, construct an arc intersecting the line segment at two points C and D.

(3) With C and D as centres and a radius greater than CM, construct two arcs. Let these be intersecting each other at E.

(4) Join EM.   is perpendicular to  .

Question 2:

Draw any line segment . Take any point R not on it. Through R, draw a perpendicular to . (Use ruler and set-square)

Answer:

(1) Take the given line segment   and mark any point R outside .

(2) Place a set square on   such that one arm of its right angle aligns along .

(3) Place the ruler along the edge opposite to the right angle of the set square.

(4) Hold the ruler fixed. Slide the set square along the ruler till the point R touches the other arm of the set square.

(5) Draw a line along this edge of the set square which will be passing through R. It is the required line, which is perpendicular to .

Question 3:

Draw a line l and point X on it. Through X, draw a line segment   perpendicular to l.

Now draw a perpendicular to  at Y. (use ruler and compasses)

Answer:

(1) Draw a line l and mark a point X on it.

(2) Taking X as centre and with a convenient radius, draw an arc intersecting line l at two points A and B.

(3) With A and B as centres and a radius more than AX, construct two arcs intersecting each other at Y.

(4) Join XY.   is perpendicular to l.

Similarly, a perpendicular to   at the point Y can be drawn. The line  is perpendicular to  at Y.