ASSERTION-REASONING WORKSHEET CH-8 Playing with Constructions CLASS 6
ASSERTION-REASONING WORKSHEET
Chapter: Playing with Constructions FOR DOWNLOAD PDF CLICK HERE
Class: 6 | NCERT Maths Chapter 8
✍π½ Choose the correct option:
(A) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.
(B) Both Assertion and Reason are true, but Reason is not the correct explanation.
(C) Assertion is true, but Reason is false.
(D) Assertion is false, but Reason is true.
Q1.
Assertion (A): A line segment of any length can be drawn using a ruler.
Reason (R): A ruler is a straightedge with marked lengths.
Option: ___
Q2.
Assertion (A): A circle can be drawn using a ruler and compass.
Reason (R): The compass is used to fix a radius and draw the curve.
Option: ___
Q3.
Assertion (A): A perpendicular bisector divides a line segment into two equal parts.
Reason (R): The perpendicular bisector intersects the line segment at a right angle.
Option: ___
Q4.
Assertion (A): A line can be constructed perpendicular to a given line using only a compass.
Reason (R): A compass allows equal arc constructions needed for perpendiculars.
Option: ___
Q5.
Assertion (A): The compass can be used to copy a line segment without using a ruler.
Reason (R): The compass can preserve the exact length when transferring.
Option: ___
Q6.
Assertion (A): Using only a ruler, one can construct a perfect 90° angle.
Reason (R): Angles need protractors or compass constructions for accuracy.
Option: ___
Q7.
Assertion (A): The intersection point of two arcs from ends of a line segment helps draw a perpendicular bisector.
Reason (R): The arcs from both ends intersect at equal distances from the segment’s midpoint.
Option: ___
Q8.
Assertion (A): A 60° angle can be constructed using a compass only.
Reason (R): An equilateral triangle’s angles are all 60°.
Option: ___
Q9.
Assertion (A): An angle of 30° can be constructed directly using only compass.
Reason (R): 30° is a basic geometric angle constructible by default.
Option: ___
Q10.
Assertion (A): A triangle can be constructed when three sides (SSS) are known.
Reason (R): The SSS criterion is sufficient for unique triangle construction.
Option: ___
Q11.
Assertion (A): Using compass and ruler, we can bisect any angle.
Reason (R): The method uses equal arcs and intersection points for accuracy.
Option: ___
Q12.
Assertion (A): An angle greater than 90° is called an obtuse angle.
Reason (R): Acute angles are greater than 90°.
Option: ___
Q13.
Assertion (A): The length of a line segment can be verified using a compass.
Reason (R): A compass can hold the fixed distance of a segment to compare.
Option: ___
Q14.
Assertion (A): All angles of a triangle can be constructed using compass and ruler.
Reason (R): Triangle construction methods include SSS, SAS, ASA.
Option: ___
Q15.
Assertion (A): A triangle can always be constructed from any three lengths.
Reason (R): The sum of two sides must always be greater than the third.
Option: ___
Q16.
Assertion (A): The compass is used to measure curved lengths.
Reason (R): Compass is a tool for drawing and measuring arcs and circles.
Option: ___
Q17.
Assertion (A): The midpoint of a line segment is the point that divides it equally.
Reason (R): The perpendicular bisector passes through the midpoint.
Option: ___
Q18.
Assertion (A): 90° angle can be constructed by bisecting a 60° angle.
Reason (R): 60° ÷ 2 = 90°
Option: ___
Q19.
Assertion (A): A protractor is used in constructions to measure and draw angles accurately.
Reason (R): It has degree markings from 0° to 180°.
Option: ___
Q20.
Assertion (A): Using compass and straightedge only, any angle can be constructed.
Reason (R): Only angles like 30°, 60°, 90°, 120° are constructible using classical methods.
Option: ___
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