Pavan tried to draw a line parallel to a given line- -l- Few steps are shown below- What will be the next step- Step 1- Mark a point A- not on the line -l- Step 2- Mark point B on line -l- Step 3- Draw line segment joining points A and B- Step 4- Draw an arc with B as the centre- such that it intersects line - l - at D and AB at E-A- Draw another arc with the same radius and A as the centre- such that it intersects AB at FB- Draw another arc with B as the centre and distance DE as the radiusC- Draw another arc with some other radius and A as the centreD- Draw another arc with B as the centre and distance AB as the radius

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Perpendicular Lines

Pavan tried t...

Question

Pavan tried to draw a line parallel to a given line, 'l'. Few steps are shown below. What will be the next step?

Step 1: Mark a point A, not on the line 'l'.
Step 2: Mark point B on line 'l'.
Step 3: Draw line segment joining points A and B.
Step 4: Draw an arc with B as the centre, such that it intersects line 'l' at D and AB at E.

Draw another arc with the same radius and A as the centre, such that it intersects AB at F

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Draw another arc with B as the centre and distance DE as the radius

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Draw another arc with some other radius and A as the centre

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Draw another arc with B as the centre and distance AB as the radius

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Solution

The correct option is A
Draw another arc with the same radius and A as the centre, such that it intersects AB at F

Following are the steps to draw a line parallel to a given line:

Step 1: Mark a point A, not on the line 'l'.
Step 2: Mark point B on line 'l'.
Step 3: Draw line segment joining points A and B.
Step 4: Draw an arc with B as the centre, such that it intersects line 'l' at D and AB at E.
Step 5: Draw another arc with the same radius and A as the centre, such that it intersects AB at F.
Step 6: Draw another arc with F as the centre and distance DE as the radius.
Step 7: Mark the point of intersections of this arc and the previous arc as G.
Step 8: Draw line 'm' passing through points A and G.

Line 'm' is the required parallel line.

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Similar questions

Pavan tried to draw a line parallel to a given line, 'l'. Few steps are shown below. What will be the next step?

Step 1: Mark a point A, not on the line 'l'.
Step 2: Mark point B on line 'l'.
Step 3: Draw line segment joining points A and B.
Step 4: Draw an arc with B as the centre, such that it intersects line 'l' at D and AB at E.

If I do the following constructions step by step, what will be the angles constructed (in degrees)?

Step 1. Draw an arc on the line XY with an arbitrary point O on line XY, as centre and radius r. With the same radius and point of intersection of arc and line, ‘A’, as centre draw another arc on the first arc at point B. So, $∠ A O B$ is __.

Q. Steps for the construction of a perpendicular to a line are given below. Choose the correct order.

1. With Y as the centre and with same radius as in previous step, draw another arc which cuts the previous arc. Name the point of intersection as B.
2. With R as the centre, draw arcs on either side with suitable radius that cuts line at point X and Y.
3. With X as the centre and radius more than half of XY, draw an arc below the line segment XY.
4. Draw a line k, mark a point R outside it.
5. Join points R and B using a scale and a pencil and extend to get line RB.

Q. Arrange the steps marked (i) to (v) in CORRECT order while constructing a line parallel to a given line, through a point not on the line using ruler and compasses only.
Step 1. Take a line 'I' and a point 'A' outside 'l'.
Step 2. Take any point B on I and join B to A.
(i) Now with A as centre and the same radius as in previous step, draw an arc EF cutting AB at G.
(ii) With the same opening as in previous step and with G as centre, draw an arc cutting the arc EF at H.
(iii) With B as centre and a convenient radius, draw an arc cutting I at C and BA at D.
(iv) Now, join AH to draw a line 'm'.

Q. Steps for the construction of

90^{\circ}

is given below. Choose the correct order.

1.With P as the centre and radius more than half of PQ, draw an arc above the line segment AB
2.With O as the centre, draw semicircle with suitable radius that cuts line segment AB at point P and Q.
3.With Q as the centre and with same radius as in previous step, draw another arc, which cuts the previous arc. Name the point of intersection as C
4.Draw a line segment AB, mark a point 'O' on it.
5.Join points O and C using a scale and a pencil and extend to get ray OC

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