Mahabir Singh Solutions for Chapter: Practical Geometry, Exercise 2: ACHIEVERS SECTION (HOTS)

Author:Mahabir Singh

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

EASY
6th Foundation
IMPORTANT

11. Which of the following steps is INCORRECT while constructing an angle of  600?


Step-1: Draw a line EF and mark a point O on it.


Step-2: Place the pointer of the compass at O and draw an arc of convenient radius which cuts the line EF at point P.


Step-3: With the pointer at A (as centre), draw an arc that passes through O.


Step-4: Let the two arcs intersect at Q. Join OQ. We get ∠QOP whose measure is 600.

MEDIUM
6th Foundation
IMPORTANT

(i) Perpendicular bisector of the diameter of a circle passes through the   P of the circle.
(ii) If B is image of A in line l and D is image of C in line l, then AC = Q
(iii) Angle bisector is a ray which divides the angle in   R equal parts.

MEDIUM
6th Foundation
IMPORTANT

Arrange the given steps in CORRECT order of constructing a perpendicular using ruler and compasses.

Steps of construction:

1. With A and B as centres and a radius greater than AP construct two arcs, which cut each other at Q.

2. Join PQ. Then PQ↔ is perpendicular to l. We write PQ↔⊥l .

3. With P as centre and a convenient radius, construct an arc intersecting the line l at two points A and B.

4. Given a point P on a line l.

MEDIUM
6th Foundation
IMPORTANT

State 'T' for true and 'F'for false.
(i) It is possible to divide a line segment in 5 equal parts by perpendicularly bisecting a given line segment 5 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.

MEDIUM
6th Foundation
IMPORTANT

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 90∘.
Statement-2: A unique circle can be drawn passing through the given centre.