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Class 6Mathematics & Statistics2026-27 Syllabus

Chapter 17 Geometrical Constructions Practice Set 39 Solutions

Complete Maharashtra State Board Balbharati & Yuvakbharati textbook solutions for Chapter 17 Geometrical Constructions Practice Set 39. Step-by-step solved exercises, numerical problems, and digest answers.

6 Solved Questions438 words

6th Standard Maths Practice Set 39 Answers Chapter 17 Geometrical Constructions

Question 1 Maharashtra Board Solution
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.
Solution & Step-by-Step Answer:
Step 1:

Step 2:

line PQ ⊥ line l

Question 2 Maharashtra Board Solution
Draw a line AB. Using a compass, draw a line perpendicular to AB at point B.
Solution & Step-by-Step Answer:
Step 1:

Step 2:

Step 3:

line BC ⊥ line AB.

Question 3 Maharashtra Board Solution
Draw line CD. Take any point M on the line. Using a protractor, draw a line perpendicular to line CD at the point M.
Solution & Step-by-Step Answer:
Step 1:

Step 2:

line MN ⊥ line CD

Maharashtra Board Class 6 Maths Chapter 17 Geometrical Constructions Practice Set 39 Questions and Activities

Question 1 Maharashtra Board Solution
When constructing a building, what is the method used to make sure that a wall is exactly upright? What does the mason in the picture have in his hand? What do you think is his purpose for using it? (Textbook pg. no. 87)
Solution & Step-by-Step Answer:
When constructing a building, a weight (usually with a pointed tip at the bottom) suspended from a string called as plummet or plump bob is aligned from the top of the wall to make sure that the wall is built exactly upright. The mason in the picture is holding a plumb bob. The string of the plumb bob is suspended from the top of the wall, such that plumb bob hangs freely. By observing whether the vertical wall is parallel to the string we can check if the constructed wall is vertical.
Question 2 Maharashtra Board Solution
Have you looked at lamp posts on the roadside? How do they stand? (Textbook pg. no. 87)
Solution & Step-by-Step Answer:
The lamp posts on the road side are standing erect or vertical.
Question 3 Maharashtra Board Solution
For the above explained construction, why must we take a distance greater than half of the length of AB? What will happen if we take a smaller distance? (Textbook pg. no. 88)
Solution & Step-by-Step Answer:
For the above construction, in step-3 we take distance greater than half of the length of AB, so that the arcs drawn by keeping the compass on points A and B intersect each other at point Q. If the distance in compass is less than half of the length of AB, then the arcs drawn by keeping the compass at A and B will not intersect each other.