How many lines can be drawn which are perpendicular to a given line and pass through a given point lying outside it?
Question types
Geometrical Constructions question types
45 questions across 4 question groups — pick any mix to generate a Maths paper with step-by-step answer keys.
45
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4
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5
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Sample Questions
Geometrical Constructions 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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How many lines can be drawn which are perpendicular to a given line and pass through a given point lying on it?
Draw ray PQ as shown in the figure. Using the protractor, make an angle of 15° with one hand PQ.
Construct line segments whose lengths are:
4.8cm.
4.8cm.
Construct line segments whose lengths are:
12cm 5mm
12cm 5mm
Construct line segments whose lengths are:
7.6cm
7.6cm
Draw a line PQ. Take a point R on it. Draw a line perpendicular to PQ and passing through R.
Ruler and compasses.
Ruler and compasses.
Construct a rectangle whose adjacent sides are $8cm$ and $3cm.$
View full solution →Construct the angle with the help of ruler and compasses only:
150°
150°
Draw a circle with centre at point O and radius 5cm. Draw its chord AB, draw the perpendicular bisector of line segment AB. Does it pass through the centre of the circle?
Construct the angle with the help of ruler and compasses only:
105°
105°
Draw a line segment AB of length 5.8cm. Draw the perpendicular bisector of this line segment.
Draw a line l. Take a point A, not lying on l. Draw a line m such that $\text{m}\perp\text{l}$ and passing through A. Using ruler and a set-square.
View full solution →Using protractor, draw a right angle. Bisect it to get an angle of measure 45°.
Using your protractor, draw an angle of measure 108°. With this angle as given, draw an angle of 54°.
Using ruler and compasses only, draw a right angle.
Draw a circle with centre at point O. Draw its two chords AB and CD such that AB is not parallel to CD. Draw the perpendicular bisectors of AB and CD. At what point do they intersect?
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