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CBSE Class 6  >  Class 6 Notes  >  Maths Olympiad   >  Worksheet: Playing with Constructions

Worksheet: Playing with Constructions

Worksheet: Playing with Constructions

Multiple Choice Questions (MCQs)

Q1: Which tool would you use to draw a perfect circle with a 5 cm radius?
(a) Ruler
(b) Compass
(c) Set square
(d) Protractor

Q2: What is the measure of each angle in a square?
(a) 45 degrees
(b) 60 degrees
(c) 90 degrees
(d) 120 degrees

Q3: When drawing a rectangle, which of the following is true about its diagonals?
(a) They are always parallel.
(b) They bisect each other at right angles.
(c) They are equal in length.
(d) They form acute angles with each other.

Q4: To draw a square with a side length of 6 cm using a compass and ruler, what is the first step?
(a) Draw one side of the square.
(b) Draw a diagonal.
(c) Measure a 6 cm length on the compass.
(d) Draw a perpendicular bisector.

Q5: If you want to find a point that is equidistant from two given points, which tool would you use?
(a) Ruler
(b) Compass
(c) Protractor
(d) Set square

Fill in the Blanks

Q1: The distance from the center of a circle to any point on the circle is called the _______.

Q2: The tool used to draw perfect circles and arcs is called a _______.

Q3: The sum of all angles in a rectangle is _______ degrees.

Q4: A square has _______ equal sides and _______ right angles.

Q5: To draw a perpendicular line through a point on a line segment, you would typically use a _______.

True/False

Q1: All the sides of a rectangle are of equal length.

Q2: The diagonals of a rectangle are always equal.

Q3: A rotated square is still a square as long as all sides remain equal and angles remain 90 degrees.

Q4: The point where the two diagonals of a rectangle intersect divides the diagonals into two equal parts.

Q5: A compass can be used to measure the length of a side without a ruler.

Practical Application Questions

Q1: Draw a square with a side length of 5 cm using a compass and ruler.

Q2: Construct a rectangle with sides of 4 cm and 6 cm. Verify if the diagonals are equal.

Q3: Using a compass, draw a circle with a radius of 3 cm. Then, draw another circle with the same radius but with a different center.

Q4: Draw a rectangle on a dot grid and draw its diagonals. Measure the angles created by the intersection of the diagonals.

Q5: Construct a 4-sided figure where all sides are equal, but it is not a square. What is the shape called?

You can access the solutions to this worksheet here.

The document Worksheet: Playing with Constructions is a part of the Class 6 Course Maths Olympiad Class 6.
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FAQs on Worksheet: Playing with Constructions

1. How do I draw perpendicular lines using a compass and ruler in geometry constructions?
Ans. Use a compass to mark equal arcs on both sides of a point on a given line, then draw arcs above and below from these points. Connect where the arcs intersect to form a perpendicular line. This fundamental construction technique helps students master basic geometric drawings required in Maths Olympiad Class 6 problems.
2. What's the difference between constructing parallel lines and perpendicular lines?
Ans. Parallel lines never meet and maintain equal distance apart, constructed using alternate angles or corresponding angles methods. Perpendicular lines intersect at 90-degree angles, created by bisecting right angles. Understanding this distinction is essential for solving construction-based geometry problems in competitive exams.
3. How do I bisect an angle accurately without a protractor?
Ans. Place compass at the angle's vertex and mark equal arcs on both rays. From these arc points, draw intersecting arcs. The line connecting the vertex to this intersection bisects the angle perfectly. This angle bisection technique appears frequently in Maths Olympiad worksheets testing geometric construction skills.
4. Why do my line constructions come out wrong even when I follow steps carefully?
Ans. Common errors include applying incorrect compass width, pressing too hard leaving visible marks, or not extending construction lines adequately. Ensure your compass opening stays constant throughout the construction process and verify each step matches the geometric properties required for accurate results.
5. Can I use only a straightedge without a compass for geometric constructions?
Ans. A straightedge alone cannot create perpendiculars, angle bisectors, or equal segments accurately. You need a compass to mark equal distances and create precise arcs. Mastering both tools together is mandatory for playing with constructions effectively in Class 6 geometry problems and Olympiad examinations.
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