Chapter Exam

Chapter-14 Constructions and Tilings — Online MCQ Test

Q: Which of the following is NOT a basic tool required for geometric constructions?

Answer: D. Calculator — A calculator is not a standard geometric construction tool. The basic tools are compass, ruler, and protractor.

Q: What is the primary purpose of a compass in geometric construction?

Answer: B. To draw circles and arcs — A compass is used to draw circles and arcs of equal radius, which is essential for many geometric constructions.

Q: To construct a line parallel to a given line through a point not on that line, which method is commonly used?

Answer: B. Using a compass and ruler (set square method) — The most reliable method is using a compass and ruler, often with the help of a set square to ensure the lines are truly parallel.

Q: A construction task requires you to draw a line parallel to AB through point P (not on AB). If your construction results in a line making a 75° angle with AB, what can you conclude?

Answer: B. Your construction has an error — If the constructed line is truly parallel to AB, it should make the same angle with any transversal as AB does. A 75° angle suggests the construction was not done correctly.

MATHS · Grade 7 · CBSE(NCERT)

Practice Chapter-14 Constructions and Tilings with a free chapter-wise online MCQ test for CBSE(NCERT) Grade 7 MATHS. This chapter covers: parallel lines - triangles - tessellations - geometric constructions - drawing tools. AI-generated questions from basic to board-exam level, with instant results and explanations.

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Chapter-14 Constructions and Tilings — Important Questions & Answers (FAQ)

Frequently asked questions from CBSE(NCERT) Grade 7 MATHS — Chapter-14 Constructions and Tilings, with answers and explanations. These are sample questions; the exam has its own separate question set.

Which of the following is NOT a basic tool required for geometric constructions?

A. Compass
B. Ruler
C. Protractor
D. Calculator ✓

Answer: D. Calculator
A calculator is not a standard geometric construction tool. The basic tools are compass, ruler, and protractor.

What is the primary purpose of a compass in geometric construction?

A. To measure angles
B. To draw circles and arcs ✓
C. To draw straight lines
D. To find parallel lines

Answer: B. To draw circles and arcs
A compass is used to draw circles and arcs of equal radius, which is essential for many geometric constructions.

To construct a line parallel to a given line through a point not on that line, which method is commonly used?

A. Using only a ruler
B. Using a compass and ruler (set square method) ✓
C. Using only a compass
D. Using a protractor

Answer: B. Using a compass and ruler (set square method)
The most reliable method is using a compass and ruler, often with the help of a set square to ensure the lines are truly parallel.

A regular tessellation can be formed by which of the following combinations?

A. Squares, pentagons, and heptagons
B. Equilateral triangles, squares, and regular hexagons ✓
C. Only squares
D. Pentagons and octagons

Answer: B. Equilateral triangles, squares, and regular hexagons
Regular tessellations can be formed individually by equilateral triangles, squares, and hexagons. When combined, they form semi-regular tessellations.

A construction task requires you to draw a line parallel to AB through point P (not on AB). If your construction results in a line making a 75° angle with AB, what can you conclude?

A. Your construction is correct
B. Your construction has an error ✓
C. The lines are perpendicular
D. More information is needed

Answer: B. Your construction has an error
If the constructed line is truly parallel to AB, it should make the same angle with any transversal as AB does. A 75° angle suggests the construction was not done correctly.