Draw a circle of radius 3.2 cm.
With the same centre O, draw two circles of radii 4 cm and 2.5 cm.
Draw a circle and any two of its diameters. If you join the ends of these diameters, what is the figure obtained? What figure is obtained if the diameters are perpendicular to each other? How do you check your answer?
Let A, B be the centres of two circles of equal radii; draw them so that each one of them passes through the centre of the other. Let them intersect at C and D. Examine whether AB and CD are at right angles.
Draw a line segment of length 7.3 cm using a ruler.
Construct a line segment of length 5.6 cm using ruler and compasses.
Construct of AB length 7.8 cm. From this, cut off AC of length 4.7 cm. Measure BC .
Given AB of length 7.3 cm and CD of length 3.4 cm, construct a line segment XY such that the length of XY is equal to the difference between the lengths of AB and CD . Verify by measurement.
Draw any line segment PQ . Without measuring PQ , construct a copy of PQ.
Given some line segment AB , whose length you do not know, construct PQ such that the length of PQ is twice that of AB .
Draw any line segment AB . Mark any point M on it. Through M, draw a perpendicular to AB .
(use ruler and compasses)
Draw any line segment PQ. Take any point R not on it. Through R, draw a perpendicular to PQ . (use ruler and set-square)
Draw a line l and a point X on it. Through X, draw a line segment XY perpendicular to l.
Now draw a perpendicular to XY at Y. (use ruler and compasses)
Draw AB of length 7.3 cm and find its axis of symmetry.
Draw ∠POQ of measure 75° and find its line of symmetry.
Draw a line segment of length 9.5 cm and construct its perpendicular bisector.
Draw the perpendicular bisector of XY whose length is 10.3 cm.
(a) Take any point P on the bisector drawn. Examine whether PX = PY.
(b) If M is the mid point of XY, what can you say about the lengths MX and XY?
Draw a line segment of length 12.8 cm. Using compasses, divide it into four equal parts. Verify by actual measurement.
With PQ of length 6.1 cm as diameter, draw a circle.
Draw a circle with centre C and radius 3.4 cm. Draw any chord AB . Construct the perpendicular bisector of AB and examine if it passes through C.
Repeat Question 6, if AB happens to be a diameter.
Draw a circle of radius 4 cm. Draw any two of its chords. Construct the perpendicular bisectors of these chords. Where do they meet?
Draw any angle with vertex O. Take a point A on one of its arms and B on another such that OA = OB. Draw the perpendicular bisectors of OA and OB . Let them meet at P. Is PA = PB?
Draw an angle of measure 147° and construct its bisector.
Draw a right angle and construct its bisector.
Draw an angle of measure 153° and divide it into four equal parts.
Construct with ruler and compasses, angles of following measures:
(a) 60°
(b) 30°
(c) 90°
(d) 120°
(e) 45°
(f) 135°
Draw an angle of measure 45° and bisect it.
Draw an angle of measure 135° and bisect it.
Draw an angle of 70°. Make a copy of it using only a straight edge and compasses.
Draw an angle of 40°. Copy its supplementary angle.
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