Is the following tiling possible?
Question types
PART - 2 CH : 6 Constructions and Tilings question types
23 questions across 3 question groups — pick any mix to generate a MATHS paper with step-by-step answer keys.
23
Questions
3
Question groups
5
Question types
Sample Questions
PART - 2 CH : 6 Constructions and Tilings questions
One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
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Construct this figure.
[Hint: Find the angles in this figure.]
[Hint: Find the angles in this figure.]
Construct the following figures:
Construct the following figure:
How do we construct the petals so that they are of the maximum possible size within a given square?
How do we construct the petals so that they are of the maximum possible size within a given square?
Come up with a method to construct the angle bisector using a rope.
In the process of angle bisection, if arcs of equal radius are drawn on the other side, as shown in the figure, will the line OC still be an angle bisector? Explore this through construction, and then justify your answer.
Draw a line l and mark a point P anywhere outside the line. Construct a perpendicular to the given line l through P.
[Hint: Find a line segment on l whose perpendicular bisector passes through P.]
[Hint: Find a line segment on l whose perpendicular bisector passes through P.]
What are the other angles that can be constructed using angle bisection? Can you construct a 65.5° angle?
Is the following tiling possible?
Make your own arch design.
Recreate this design using only a ruler and compass-
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