Match the column: Column A Column B (a) x = ________. (p) 45 ° (b) x = ________. (q) 60 ° (c) x = _________. (r) 30 °

With the help of a ruler and a compass, we can construct the angles, 90 ° , 45 ° , 30 ° , 60 ° , 120 ° , 135 ° , 15 ° , 150 ° , 165 ° , 75 ° , 105 ° . . . i.e., the multiples of 15 ° and its bisector of an angle. Here, ∠ BAC = 60 ° So, x = 60 ° Here, ∠ BAC = 60 ° Ray AD is angle bisector of ∠ BAC . Now, ∠ BAD = 30 ° So, x = 30 ° Here, ∠ CAD = 90 ° Ray AE is angle bisector of ∠ CAD . Now, ∠ CAE = 30 ° So, x = 45 ° Matched the column is shown below: Column A Column B (a) x = ________. (q) 60 ° (b) x = ________. (r) 30 ° (c) x = _________. (p) 45 °

Column A Column B (a) The instruments, used to draw perpendicular and parallel lines, are known as ______. (p) protractor (b) To measure the number of degrees in an angle, an instrument called _______ is used. (q) set-squares (c) The instrument, used to mark-off equal lengths, but does not measure them and also draw arcs and circles, is known as _______. (r) divider (d) ______ has a pair of pointers and used to compare lengths. (s) compass

⇒ A set square or triangle (American English) is an object used in engineering and technical drawing, with the aim of providing a straightedge at a right angle or other particular planar angles to a baseline. So, The instruments, used to draw perpendicular and parallel lines, are known a set-squares. ⇒ A protractor is a tool that is used to measure and draw angles in geometry. A protractor in a geometry box is in the shape of half-disc or semicircular which can measure up to 180 degrees. So, To measure the number of degrees in an angle, an instrument called a protractor is used. ⇒ Compass is one of the mathematical tools which is used to draw a geometrical figure, such as a circle. It is also used in the intersection of line segments and tools, which is used to intersect the line segment and helps to find the midpoint of the shapes. So, The instrument, used to mark-off equal lengths, but does not measure them and also draw arcs and circles, is known as a compass. ⇒ The dividers can be used for geometric activities such as scribing circles, as well as taking and moving measurements. So, divider has a pair of pointers and used to compare lengths. Column A Column B (a) The instruments, used to draw perpendicular and parallel lines, are known as ______. (q) set-squares (b) To measure the number of degrees in an angle, an instrument called _______ is used. (p) Protractor (c) The instrument, used to mark-off equal lengths, but does not measure them and also draw arcs and circles, is known as _______. (s) compass (d) ______ has a pair of pointers and used to compare lengths. (r) divider Hence, the required table is shown above.

E M B I B E

Excellence in Mathematics>Chapter 13 - Practical Geometry>CHAPTER-END EXERCISES

CHAPTER-END EXERCISES

Author:Dr. Sanjeev Verma & R.K. Tyagi

Dr. Sanjeev Verma Mathematics Solutions for Exercise - CHAPTER-END EXERCISES

Simple step-by-step solutions to CHAPTER-END EXERCISES questions of Practical Geometry from Excellence in Mathematics. Also get 3D topic explainers, cheat sheets, and unlimited doubts solving on EMBIBE.

Questions from CHAPTER-END EXERCISES with Hints & Solutions

EASY

6th CBSE

IMPORTANT

Excellence in Mathematics>Chapter 13 - Practical Geometry>CHAPTER-END EXERCISES>Q 7

$30 °, 60 °, 120 °, 90 °, 45 °$ etc. are some special angles which can be constructed without use of protractor.

EASY

6th CBSE

IMPORTANT

Excellence in Mathematics>Chapter 13 - Practical Geometry>CHAPTER-END EXERCISES>Q 4

Fill in the blank:

_____ line(s) can be drawn passing through two given points.

EASY

6th CBSE

IMPORTANT

Excellence in Mathematics>Chapter 13 - Practical Geometry>CHAPTER-END EXERCISES>Q 5

Instrument used to draw any angle is _____.

EASY

6th CBSE

IMPORTANT

Excellence in Mathematics>Chapter 13 - Practical Geometry>CHAPTER-END EXERCISES>Q 6

A line $l$ is the perpendicular bisector of $\vec{A B}$ , if $l$ makes an angle of _____ $°$ with $\vec{A B}$ at the mid-point of $\vec{A B}$ .

MEDIUM

6th CBSE

IMPORTANT

Excellence in Mathematics>Chapter 13 - Practical Geometry>CHAPTER-END EXERCISES>Q 1

Match the column:

Column A		Column B
(a)	$x =$ ________.	(p)	$45 °$
(b)	$x =$ ________.	(q)	$60 °$
(c)	$x =$ _________.	(r)	$30 °$

HARD

6th CBSE

IMPORTANT

Excellence in Mathematics>Chapter 13 - Practical Geometry>CHAPTER-END EXERCISES>Q 2

Column A		Column B
(a)	The instruments, used to draw perpendicular and parallel lines, are known as ______.	(p)	protractor
(b)	To measure the number of degrees in an angle, an instrument called _______ is used.	(q)	set-squares
(c)	The instrument, used to mark-off equal lengths, but does not measure them and also draw arcs and circles, is known as _______.	(r)	divider
(d)	______ has a pair of pointers and used to compare lengths.	(s)	compass