Chapter 8 · Class 6 CBSE · MCQ Test
Playing with Constructions MCQ Test — Class 6 CBSE
Practice 10 multiple-choice questions with instant answer reveal and explanations.
Playing with Constructions — MCQ Questions
1Which instrument from your geometry box is primarily used to draw a circle of a given radius?
Show Answer+
Answer: C) Compass
Hint: Think about the tool that helps you maintain a constant distance from a fixed point while drawing a curve.
Solution:
A ruler is used for drawing straight lines and measuring lengths.
A protractor is used for measuring and drawing angles.
A compass has two arms, one with a pencil and one with a pointed tip. The pointed tip is fixed at the center, and the pencil arm rotates to draw a circle, keeping the radius constant.
Set-squares are used for drawing parallel and perpendicular lines.
2To draw a line segment AB of length 5.5 cm using a ruler, where should you place the pencil's starting point on the ruler to mark 'A' accurately?
Show Answer+
Answer: A) At the 0 cm mark
Hint: For precise measurements, always begin your measurement from the standard starting point on any measuring instrument.
Solution:
Accuracy is key in constructions.
To accurately measure and draw a line segment of a specific length using a ruler, one must always start marking the first point (A) from the 0 cm mark on the ruler.
Then, mark the second point (B) at the desired length, which is 5.5 cm in this case.
3When copying a line segment PQ using a compass and ruler, which of the following is the correct first step after drawing a ray?
Show Answer+
Answer: B) Open the compass to the length of PQ.
Hint: The goal is to transfer the exact length of the given line segment. How do you capture that length accurately with a compass?
Solution:
The process of copying a line segment involves transferring its exact length.
First, draw a ray from a starting point.
Then, use the compass to measure the length of the original line segment PQ by placing the pointer at P and the pencil tip at Q. This sets the compass opening to the exact length of PQ.
After this, place the compass pointer on the starting point of the ray and draw an arc to mark the end of the copied segment.
4A circle is a closed curve where every point on the curve is _______________ from a fixed central point.
Show Answer+
Answer: B) equidistant
Hint: Think about the definition of a circle and what the radius represents in relation to the center and the curve.
Solution:
By definition, a circle is a set of all points in a plane that are at a constant distance from a given fixed point.
This fixed point is called the center, and the constant distance is called the radius.
Therefore, every point on the circle is equidistant (meaning 'at an equal distance') from its center.
5A line that divides a given line segment into two equal parts and is also at 90° to it, is called a:
Show Answer+
Answer: C) Perpendicular bisector
Hint: The name itself gives clues about its two main properties: one related to forming a right angle, and the other to dividing into two equal parts.
Solution:
Let's break down the properties mentioned: 'divides into two equal parts' and 'at 90° to it'.
The term 'bisector' means to divide into two equal parts.
The term 'perpendicular' means forming a 90° angle.
Combining these, a line with both properties is a perpendicular bisector.
6Ravi wants to construct the perpendicular bisector of a line segment AB. He places the compass pointer at A and opens it to more than half the length of AB. What should be his *next* step?
Show Answer+
Answer: B) Draw arcs above and below the line segment.
Hint: To find points that are equidistant from both ends of the line segment, you need to draw arcs from the first point in both directions.
Solution:
The construction of a perpendicular bisector relies on finding two points that are equidistant from both A and B.
After placing the compass pointer at A and opening it to a radius greater than half the length of AB, the next step is to draw an arc on one side of the line segment and another arc on the other side.
These arcs will help locate the points that will define the perpendicular bisector when similar arcs are drawn from point B.
7To construct a 60° angle, you first draw a ray OA. Then, with O as the center and a convenient radius, you draw an arc intersecting OA at point B. What is the *next* step to complete the 60° angle?
Show Answer+
Answer: B) With B as center and the *same* radius, draw an arc intersecting the first arc at C.
Hint: Remember that a 60° angle is formed by an equilateral triangle. How do you ensure all sides of a triangle formed by arcs are equal?
Solution:
The construction of a 60° angle is based on the properties of an equilateral triangle, where all angles are 60° and all sides are equal.
After drawing the initial arc from O that intersects OA at B, you need to maintain the *same* compass radius.
Then, place the compass pointer at B and draw another arc that intersects the first arc at a point, let's say C. Connecting O to C will form the 60° angle because OC = OB = BC (all equal to the compass radius).
8Which of the following statements about perpendicular lines is TRUE?
Show Answer+
Answer: C) Perpendicular lines always intersect at a 90° angle.
Hint: Think about the specific angle formed when two lines are defined as perpendicular.
Solution:
Let's examine each option.
A) Perpendicular lines *must* intersect, otherwise they can't form an angle.
B) Perpendicular lines form a 90° angle, not 45°.
C) By definition, two lines are perpendicular if they intersect each other at a right angle, which is 90°.
D) Parallel lines never intersect, while perpendicular lines always intersect. So, they cannot be parallel.
9A gardener wants to create a circular flower bed with a radius of 3 meters. If he uses a string and a stick to mark the boundary, where should he place the stick (pivot) and what should be the length of the string?
Show Answer+
Answer: A) Stick at the center, string length 3 meters.
Hint: The stick acts as the fixed point (center) and the string represents the constant distance (radius) from that point to the boundary of the circle.
Solution:
When constructing a circle using a compass, the pointer is placed at the center, and the distance from the pointer to the pencil tip is the radius.
In this real-world scenario, the stick acts as the fixed central point (like the compass pointer).
The string's length represents the radius of the circular flower bed. Therefore, for a radius of 3 meters, the string should be 3 meters long.
By keeping the stick fixed at the center and rotating the string around it, the gardener can mark out a perfect circle with a 3-meter radius.
10Why is it important to use a sharp pencil and make thin, clear lines when performing geometric constructions?
Show Answer+
Answer: B) Thick lines can lead to inaccurate measurements and intersections.
Hint: Consider how the thickness of a line might affect your ability to pinpoint exact locations or measure precise distances.
Solution:
Geometric constructions are all about precision and accuracy.
If lines are thick, it becomes difficult to determine the exact point where two lines intersect, or to precisely mark a length.
This lack of precision can lead to errors in the construction, making the final figure inaccurate.
Using a sharp pencil to make thin, clear lines ensures that all points and measurements are as exact as possible.
Want more questions?
Practice 60+ questions with AI-powered doubt clearing and step-by-step solutions.
Tips for Playing with Constructions MCQs
- 1Read each question carefully and identify what is being asked before looking at the options.
- 2Try to solve the problem mentally or on paper first, then match your answer with the options.
- 3Use elimination — rule out clearly wrong options to improve your chances even when unsure.
- 4Check units, signs, and edge cases — these are common traps in Playing with Constructions MCQs.
- 5Review your mistakes after completing the test to build lasting understanding.
Master Playing with Constructions on SparkEd
Go beyond MCQs. Practice at three difficulty levels with instant feedback, solutions, and an AI coach to clear every doubt.
Start PractisingSparkEd Maths offers free MCQ tests for Class 1-10 across 7 education boards. All questions are aligned to the 2025-26 syllabus with step-by-step solutions and AI-powered doubt clearing.