Mathematics Solutions Solutions for Class 6 Math Chapter 17 Geometrical Constructions are provided here with simple step-by-step explanations. These solutions for Geometrical Constructions are extremely popular among class 6 students for Math Geometrical Constructions Solutions come handy for quickly completing your homework and preparing for exams. All questions and answers from the Mathematics Solutions Book of class 6 Math Chapter 17 are provided here for you for free. You will also love the ad-free experience on Meritnation’s Mathematics Solutions Solutions. All Mathematics Solutions Solutions for class 6 Math are prepared by experts and are 100% accurate.
Page No 89:
Question 1:
Draw line l . Take any point P on the line. Using a set square, draw a line perpendicular to line l at the point P.
Answer:
Steps of constructions:
1. Draw line l. Take point P anywhere on the line.
2. Place the set square on the line in such a way that the vertex of its right angle is at point P and one arm of the right angle falls on line l.
3. Draw a line PQ along the other arm of the right angle of the set square.
4. The line PQ is perpendicular to the line l at P.
Page No 89:
Question 2:
Draw a line AB. Using a compass, draw a line perpendicular to AB at the point B.
Answer:
Steps of construction:
1. Draw line AB.
2. Place the compass point on point B. Draw two arcs on either side of point B to cut the line AB at equal distances from B. Name the points of intersection M and N respectively.
3. Place the compass point at M and, taking a convenient distance greater than half the length of MN, draw an arc on one side of the line.
4. Place the compass point at N and using the same distance, draw another arc to intersect the first one at P.
5. Draw a line passing through points B and P.
6. The line BP is perpendicular to line AB at B.
Page No 89:
Question 3:
Draw line CD. Take any point M on the line. Using a protractor, draw a line perpendicular to line CD at the point M.
Answer:
Steps of construction:
1. Draw line CD. Take point M anywhere on the line.
2. In order to draw a perpendicular through M, place the centre of the protractor on point M.
3. Mark a point N at the 90° mark on the protractor.
4. Draw a line passing through points M and N.
5. The line MN is perpendicular to line CD at M.
Page No 92:
Question 1:
Draw line l . Take point P anywhere outside the line. Using a set square, draw a line PQ perpendicular to line l .
Answer:
Steps of construction:
1. Draw line l. Take point Q anywhere outside l.
2. Place one of the arms of the right angle of a set square along the line l.
3. Slide the set square along the line in such a way that the other arm of its right angle touches point P.
4. Draw a line along this side, passing through point Q. Name the line PQ.
Page No 92:
Question 2:
Draw line AB. Take point M anywhere outside the line. Using a compass and ruler, draw a line MN perpendicular to line AB.
Answer:
Steps of construction:
1. Draw line AB. Take any point M outside the line.
2. Placing the compass point at point M and using any convenient distance, draw arcs to cut the line AB at two points P and Q.
3. Place the compass point at P and taking a distance greater than half of PQ, draw an arc on the lower side of line AB.
4. Place the compass point at Q and using the same distance, draw an arc to cut the previous arc at N.
5. Draw the line MN.
6. Line MN is perpendicular to line PQ.
Page No 92:
Question 3:
Draw a line segment AB of length 5.5 cm. Bisect it using a compass and ruler.
Answer:
Steps of constructions:
1. Draw seg AB of 5.5 cm.
2. Place the compass point at A and taking a distance greater than half the length of seg AB, draw two arcs, one below and one above seg AB.
3. Place the compass point at B and using the same distance draw arcs to intersect the previous arcs at P and Q.
4. Draw line PQ.
Page No 92:
Question 4:
Take a point R on line XY. Draw a line perpendicular to XY at R, using a set square.
Answer:
Steps of constructions:
1. Draw line XY. Take point R anywhere on the line.
2. Place the set square on the line in such a way that the vertex of its right angle is at point R and one arm of the right angle falls on line XY.
3. Draw a line PQ along the other arm of the right angle of the set square.
4. The line RS is perpendicular to the line XY at R.
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