Mahabir Singh Solutions for Chapter: Practical Geometry, Exercise 2: ACHIEVERS SECTION (HOTS)
Mahabir Singh Mathematics Solutions for Exercise - Mahabir Singh Solutions for Chapter: Practical Geometry, Exercise 2: ACHIEVERS SECTION (HOTS)
Attempt the free practice questions on Chapter 14: Practical Geometry, Exercise 2: ACHIEVERS SECTION (HOTS) with hints and solutions to strengthen your understanding. IMO Olympiad Work Book 6 solutions are prepared by Experienced Embibe Experts.
Questions from Mahabir Singh Solutions for Chapter: Practical Geometry, Exercise 2: ACHIEVERS SECTION (HOTS) with Hints & Solutions
11. Which of the following steps is INCORRECT while constructing an angle of ?
Step-: Draw a line and mark a point on it.
Step-: Place the pointer of the compass at and draw an arc of convenient radius which cuts the line at point .
Step-: With the pointer at (as centre), draw an arc that passes through .
Step-: Let the two arcs intersect at . Join . We get whose measure is

(i) Perpendicular bisector of the diameter of a circle passes through the of the circle.
(ii) If is image of in line and is image of in line , then
(iii) Angle bisector is a ray which divides the angle in equal parts.

Arrange the given steps in CORRECT order of constructing a perpendicular using ruler and compasses.
Steps of construction:
With and as centres and a radius greater than construct two arcs, which cut each other at .
Join . Then is perpendicular to . We write .
With as centre and a convenient radius, construct an arc intersecting the line at two points and .
Given a point on a line .

State for true and for false.
(i) It is possible to divide a line segment in equal parts by perpendicularly bisecting a given line segment times.
(ii) With a given centre and a given radius, only one circle can be drawn.
(iii) If we bisect an angle of a square, then we get two angles of 45° each.

Read the statements carefully and select the correct option.
Statement-1: Two lines are said to be perpendicular if they intersect each other at an angle of .
Statement-2: A unique circle can be drawn passing through the given centre.
