CBSE Class 7 Maths Chapter 14: Constructions and Tilings — Assertion & Reason
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The following Assertion and Reason questions are based on Chapter 14: Constructions and Tilings from the NCERT Class 7 Mathematics textbook. Each question has four options - read both the Assertion (A) and Reason (R) carefully before selecting your answer.
How to attempt Assertion & Reason questions:
(a) Both A and R are true, and R is the correct explanation of A.
(b) Both A and R are true, but R is NOT the correct explanation of A.
(c) A is true, but R is false.
(d) A is false, but R is true.
(a) Both A and R are true, and R is the correct explanation of A.
(b) Both A and R are true, but R is NOT the correct explanation of A.
(c) A is true, but R is false.
(d) A is false, but R is true.
Assertion & Reason Questions
1
Assertion (A): A compass draws circles and transfers lengths.
Reason (R): All points on a compass arc are the same radius from its centre.
Reason (R): All points on a compass arc are the same radius from its centre.
Answer: (a)
Both A and R are true, and R is the correct explanation of A. This fixed-distance property supports constructions.
2
Assertion (A): A straightedge draws straight lines.
Reason (R): A protractor measures angles.
Reason (R): A protractor measures angles.
Answer: (b)
Both A and R are true, but R is NOT the correct explanation of A. Both are true, but angle measurement does not explain the straightedge.
3
Assertion (A): It passes through the midpoint at right angles.
Reason (R): A perpendicular bisector passes through only one endpoint of a segment.
Reason (R): A perpendicular bisector passes through only one endpoint of a segment.
Answer: (c)
A is true, but R is false. It is equidistant from both endpoints.
4
Assertion (A): An angle bisector doubles an angle.
Reason (R): It divides the angle into two equal angles.
Reason (R): It divides the angle into two equal angles.
Answer: (d)
A is false, but R is true. Bisection halves the angle.
5
Assertion (A): Intersecting equal-radius arcs from a segment's endpoints locate its perpendicular bisector.
Reason (R): The arc intersections are equidistant from both endpoints.
Reason (R): The arc intersections are equidistant from both endpoints.
Answer: (a)
Both A and R are true, and R is the correct explanation of A. Their joining line is the perpendicular-bisector locus.
6
Assertion (A): A perpendicular can be constructed through a point on a line.
Reason (R): A parallel line can also be constructed using equal corresponding angles.
Reason (R): A parallel line can also be constructed using equal corresponding angles.
Answer: (b)
Both A and R are true, but R is NOT the correct explanation of A. Both are true, but the parallel method does not explain the perpendicular construction.
7
Assertion (A): Equal-radius arcs and a transferred chord reproduce the same angle.
Reason (R): Copying an angle requires changing its measure.
Reason (R): Copying an angle requires changing its measure.
Answer: (c)
A is true, but R is false. The construction preserves the angle.
8
Assertion (A): Every freehand drawing is an exact geometric construction.
Reason (R): Construction steps enforce specified distances and angles.
Reason (R): Construction steps enforce specified distances and angles.
Answer: (d)
A is false, but R is true. Freehand sketches are approximate.
9
Assertion (A): A tiling covers a region without gaps or overlaps.
Reason (R): Repeated tiles meet along boundaries to fill the surface.
Reason (R): Repeated tiles meet along boundaries to fill the surface.
Answer: (a)
Both A and R are true, and R is the correct explanation of A. Complete non-overlapping coverage defines tiling.
10
Assertion (A): Squares tile the plane.
Reason (R): Equilateral triangles also tile the plane.
Reason (R): Equilateral triangles also tile the plane.
Answer: (b)
Both A and R are true, but R is NOT the correct explanation of A. Both are true, but triangular tiling does not explain square tiling.
11
Assertion (A): Their interior angle does not fit an integer number around 360 degrees.
Reason (R): Regular pentagons alone tile the plane without gaps.
Reason (R): Regular pentagons alone tile the plane without gaps.
Answer: (c)
A is true, but R is false. A regular pentagon leaves gaps or overlaps.
12
Assertion (A): Regular hexagons cannot tile the plane.
Reason (R): Three 120-degree angles meet exactly around a point.
Reason (R): Three 120-degree angles meet exactly around a point.
Answer: (d)
A is false, but R is true. They form a familiar honeycomb tiling.
13
Assertion (A): A regular polygon tiles around a vertex when an integer number of its interior angles sums to 360 degrees.
Reason (R): The angles then meet with no angular gap or overlap.
Reason (R): The angles then meet with no angular gap or overlap.
Answer: (a)
Both A and R are true, and R is the correct explanation of A. This is the local tiling condition.
14
Assertion (A): Translations can repeat a tile.
Reason (R): Rotations and reflections may also create tiling patterns.
Reason (R): Rotations and reflections may also create tiling patterns.
Answer: (b)
Both A and R are true, but R is NOT the correct explanation of A. Both are true, but other transformations do not explain every translation pattern.
15
Assertion (A): Many tessellations combine two or more kinds of polygons.
Reason (R): A tiling pattern must use only one tile shape.
Reason (R): A tiling pattern must use only one tile shape.
Answer: (c)
A is true, but R is false. Mixed tilings exist.
16
Assertion (A): Tiles may overlap if the total covered area is correct.
Reason (R): A tiling specifically forbids overlaps and gaps.
Reason (R): A tiling specifically forbids overlaps and gaps.
Answer: (d)
A is false, but R is true. Coverage must be exact pointwise.
17
Assertion (A): Symmetry can help design repeating tiles.
Reason (R): Matching transformed edges can make neighbouring copies fit.
Reason (R): Matching transformed edges can make neighbouring copies fit.
Answer: (a)
Both A and R are true, and R is the correct explanation of A. Compatible boundaries preserve gap-free repetition.
18
Assertion (A): A line of symmetry maps a figure onto itself.
Reason (R): A rotational symmetry may do the same by turning.
Reason (R): A rotational symmetry may do the same by turning.
Answer: (b)
Both A and R are true, but R is NOT the correct explanation of A. Both are true, but rotation does not explain reflection symmetry.
19
Assertion (A): Copies of a quadrilateral can be arranged around vertices using its angle sum of 360 degrees.
Reason (R): Any quadrilateral fails to tile the plane.
Reason (R): Any quadrilateral fails to tile the plane.
Answer: (c)
A is true, but R is false. Quadrilaterals can tile.
20
Assertion (A): Geometric construction is based only on visual guessing.
Reason (R): It uses justified steps with tools and geometric properties.
Reason (R): It uses justified steps with tools and geometric properties.
Answer: (d)
A is false, but R is true. Reasoning ensures accuracy.
❓ Frequently Asked Questions
What is covered in CBSE Class 7 Maths Chapter 14 Constructions and Tilings?
This chapter covers all key topics from Constructions and Tilings as per CBSE 2026-27 syllabus.
Is this Assertion & Reason useful for CBSE board exams?
Yes, designed for CBSE Class 7 board exam preparation covering the complete syllabus.
Are these CBSE Class 7 Maths Assertion & Reason updated for 2026-27?
Yes, all content at eBookPublisher is updated as per the latest 2026-27 CBSE syllabus.
How many chapters are in CBSE Class 7 Maths?
All chapters of CBSE Class 7 Maths are covered at eBookPublisher with free Assertion & Reason for each chapter.
Can I study Constructions and Tilings online for free?
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