MCQ Questions | Class 6 Maths Chapter 14 | Practical Geometry with Answers

MCQ | Practical Geometry Class 6

Check the below NCERT MCQ Questions for Class 6 Maths Chapter 14 Practical Geometry with Answers Pdf free download. MCQ Questions for Class 6 Maths with Answers were prepared based on the latest exam pattern. We have Provided Practical Geometry Class 6 Maths MCQs Questions with Answers to help students understand the concept very well.

Objective Question | NCERT Maths Class 6

NCERT Solutions Class 6 Maths
Book:	National Council of Educational Research and Training (NCERT)
Board:	Central Board of Secondary Education (CBSE)
Class:	6th
Subject:	Maths
Chapter:	14
Chapters Name:	Practical Geometry
Medium:	English

Ncert Solutions for Class 6 Maths | Objective Type Questions

You can refer to NCERT Solutions for Class 6 Maths Chapter 14 Practical Geometry to revise the concepts in the syllabus effectively and improve your chances of securing high marks in your board exams.

Practical Geometry | Class 6 Maths | NCERT Solutions

Q1.	Ncert Class 6 Maths Mcq Chapter 14 A line segment \(\overrightarrow { TP } \) is bisected at I. What is the measure of \(\overrightarrow { TI }\)?
	A. \(\frac{1}{2}\)\(\overrightarrow { TP }\)
	B. \(\overrightarrow { IP }\)
	C. \(\overrightarrow { TP }\)
	D. \(\frac{1}{3}\) \(\overrightarrow { TP }\)

Ans: \(\overrightarrow { IP }\)
Hint:
\(\overrightarrow { TI }\) = \(\frac{1}{3}\) \(\overrightarrow { TP }\) = IP

Q2.	Ncert Class 6 Maths Mcq Questions Which of the following can be drawn on a piece of paper?
	A. A line
	B. A line segment
	C. A ray
	D. A plane

Ans: A line segment

Q3.	CBSE Class 6 Maths Chapter 14 Mcq l \|\| m. P and Q are points on land m respectively such that PQ ⊥ lR is a point on a line n in the same plane such that \(\overline { PQ }\) = \(\overline { QR }\). Which of the following is true?
	A. l \|\| n
	B. m \|\| n
	C. Both [1] and [2]
	D. Neither [a] nor [b]

Ans: Both [1] and [2]
Hint:
MCQ Questions for Class 6 Maths Chapter 14 Practical Geometry with Answers 1

Clearly, from the given data and the figure, l || n and m || n.

Q4.	CBSE Class 6 Maths Chapter 14 Mcq Questions At 7 a.m. the angle between the Sun’s ray and the ground at a point is 43°. What would be the angle at 10 a.m.?
	A. 40°
	B. 90°
	C. Between 43° and 90°
	D. Greater than 90°

Ans: Between 43° and 90°
Hint:
MCQ Questions for Class 6 Maths Chapter 14 Practical Geometry with Answers 2

Let QP be the sun’s ray and RP be the ground. The angle between QP and PR at P is 43° at 7 a.m. At 10 a.m., the sun’s ray is Q’P. We know that at 12 noon the sun is exactly above our head. So, the sun’s ray will be perpendicular to the ground. So, clearly at 10 am, the required angle will be between 43° and 90°.

Q5.	CBSE Class 6 Maths Practical Geometry Mcq \(\overrightarrow { XY }\) divides ∠MXN = 72° in the ratio 1 : 2. What is the measure of ∠YXN?
	A. 48°
	B. 24°
	C. 72°
	D. 96°

Ans: 48°
Hint:
MCQ Questions for Class 6 Maths Chapter 14 Practical Geometry with Answers 4

Given ∠MXN = 72∘ and \(\overrightarrow { XY }\) divides ∠MXN in the ratio 1 : 2.
∠YXN = \(\frac{2}{3}\) ∠MXN = \(\frac{2}{3}\) × 72° = 48°

Q6.	CBSE Class 6 Maths Mcq Questions \(\overrightarrow { MN }\) is the perpendicular bisector of \(\overleftrightarrow { AB }\). Which of the given statements is correct? (i) ∠ANM + ∠MNB = 90∘ (ii) \(\overline { AN }\) = \(\overline { NB }\) (iii) \(\overline { AN }\) = 2 \(\overline { NB }\) (iv) ∠MNB = \(\frac{1}{2}\) ∠ANM
	A. (i) and (iii) only
	B. (ii) and (iv) only
	C. (i) and (ii) only
	D. (ii) and (iii) only

Ans: (i) and (ii) only
Hint:
\(\overrightarrow { NM }\) ⊥ \(\overleftrightarrow { AB }\) and \(\overrightarrow { NM }\) divides \(\overleftrightarrow { AB }\) into two congruent parts.
MCQ Questions for Class 6 Maths Chapter 14 Practical Geometry with Answers 5

MCQ Questions for Class 6 Maths Chapter 14 Practical Geometry with Answers 5

Clearly ∠ANM = ∠MNB = 90∘ is true. \(\overline { AN }\) = \(\overline { NB }\) is true since \(\overrightarrow { NM }\) ⊥ \(\overleftrightarrow { AB }\), \(\overline { AN }\) = 2\(\overline { NB }\) is false, and ∠MNB = \(\frac{1}{2}\) ∠ANM is false. Thus, only (i) and (ii) are correct.

Q7.	CBSE Class 6 Maths Practical Geometry Mcq Questions Identify the uses of a ruler.
	A. To draw a line segment of a given length
	B. To draw a copy of a given segment.
	C. To draw a diameter of a circle.
	D. All the above.

Ans: All the above.
Hint:
A ruler is used to draw a line segment of a given length, to draw the copy of a given segment, and to draw a diameter of a circle. Thus, all the given options are correct.

Q8.	Class 6 Maths Mcq Chapter 14 P is the midpoint of \(\overline { AB }\). M and N are midpoints of \(\overline { AP }\) respectively. What is the measure of \(\overline { MN }\)?
	A. \(\frac{1}{3}\) \(\overline { AB }\)
	B. \(\frac{1}{2}\) \(\overline { AB }\)
	C. \(\frac{1}{2}\) \(\overline { AP }\)
	D. \(\frac{3}{2}\) \(\overline { AB }\)

Ans: \(\frac{1}{2}\) \(\overline { AB }\)
Hint:

P is the midpoint of \(\overline { AB }\) ⇒ AP = PB M and N are midpoints of \(\overline { AP }\) and \(\overline { PB }\) ⇒ \(\overline { AM }\) = \(\overline { MP }\) and \(\overline { PN }\) = \(\overline { NB }\)
∴ \(\overline { MN }\) = \(\overline { MP }\) + \(\overline { PN }\) = \(\frac{1}{2}\) \(\overline { AP }\) + \(\frac{1}{2}\) \(\overline { PB }\) = \(\frac{1}{2}\) (\(\overline { AP }\) + \(\overline { PB }\) ) = \(\frac{1}{2}\) (\(\overline { AB }\))

Q9.	Class 6 Maths Mcq online test \(\overrightarrow { XY }\) bisects∠AXB. If ∠YXB = 37.5∘, what is the measure of ∠AXB?
	A. 37.5°
	B. 74°
	C. 64°
	D. 75°

Ans: 75°

Q10.	Class 6 Maths Mcq with answers X and Y are two distinct points in a plane. How many lines can be drawn passing through both X and Y?
	A. 0
	B. 1
	C. Only 2
	D. Infinitely many

Ans: 1

Q11.	Learn Cbse Class 6 Maths Mcq Lines a, b, p, q, m, n and x have a point P common to all of them. What is the name of P?
	A. Point of concurrence
	B. Point of intersection
	C. Common point
	D. Distinct point

Ans: Point of concurrence
Hint:
A point common to multiple lines is called a point of concurrence as the lines are concurrent lines.

Q12.	Mcq Class 6 Maths Chapter 14 \(\overrightarrow { QZ }\) is the bisector of ∠PQZ = ∠PQR. Which of the following is true?
	A. ∠PQZ = ∠PQR
	B. ∠PQZ = ∠ZQR
	C. ∠PQZ = \(\frac{1}{2}\) ∠ZQR
	D. Both [2] and [3]

Ans: Both [2] and [3]
Hint:
\(\overrightarrow { QZ }\) bisects ∠PQR (Given)
MCQ Questions for Class 6 Maths Chapter 14 Practical Geometry with Answers 7

Thus. ∠PQZ = ∠ZQR = \(\frac{1}{2}\) ∠PQR

Q13.	Mcq for Class 6 Maths Chapter 14 Identify the pair of parallel lines. (i) Lines m and n have two points in common. (ii) Lines p and q do not have any point in common (iii) Lines p and q have a point X in common.
	A. (i) and (ii) only
	B. (ii) only
	C. (ii) and (iii) only
	D. (i), (ii) and (iii)

Ans: (ii) only
Hint:
Parallel lines do not have any point in common.

Q14.	Mcq Questions for Class 6 Maths with answers pdf Chapter 14 Identify the one with no definite length.
	A. \(\overleftrightarrow { AB }\)
	B. \(\overline { PQ }\)
	C. -XYZ
	D. \(\overline { MN }\)

Ans: \(\overleftrightarrow { AB }\)
Hint:
\(\overleftrightarrow { AB }\) has no definite length.

Q15.	Mcq Questions for Class 6 Maths with answers pdf download If two lines have only one point in common, what are they called?
	A. Parallel lines
	B. Intersecting lines
	C. Perpendicular lines
	D. Transversal

Ans: Intersecting lines
Hint:
Intersecting lines have only one point in common.

Q16.	Ncert Class 6 Maths Mcq Chapter 14 Two lines are said to be perpendicular to each other when they meet at ____angle.
	A. 180°
	B. 90°
	C. 60°
	D. 360°

Ans: 90°

Q17.	Ncert Class 6 Maths Mcq Questions A line segment \(\overline { IP }\) is bisected at T. Which of the following equals \(\overline { IT }\)?
	A. \(\overline { IP }\)
	B. \(\overline { TP }\)
	C. \(\overline { TC }\)
	D. \(\overline { IQ }\)

Ans: \(\overline { TP }\)

Q18.	CBSE Class 6 Maths Chapter 14 Mcq How do you draw a 90° angle?
	A. By drawing a perpendicular to a line from a point lying on it.
	B. By bisecting a 120° angle.
	C. By bisecting a 60° angle.
	D. By drawing multiples of 45° angle.

Ans: By drawing a perpendicular to a line from a point lying on it.

Q19.	CBSE Class 6 Maths Chapter 14 Mcq Questions An angle of 15° is drawn using a pair of compasses and a ruler. How is it done?
	A. Bisecting 60° angle.
	B. Bisecting 60° and 120° angles.
	C. Bisecting 60° and then bisecting it again.
	D. Bisecting a 60° and 180° angles.

Ans: Bisecting 60° and then bisecting it again.

Q20.	CBSE Class 6 Maths Practical Geometry Mcq Identify the instruments used to bisect a given line segment.
	A. A scale and a protractor
	B. Scale and compasses
	C. Scale and setsquares
	D. A scale