Chapter-14 Constructions and Tilings — Online MCQ Test
MATHS · Grade 7 · CBSE(NCERT)
Practice Chapter-14 Constructions and Tilings with a free chapter-wise online MCQ test.
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.
Chapter-14 Constructions and Tilings — Important Questions & Answers
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.
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.
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.
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.
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.
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.