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Draw a circle of radius 3.2 cm.
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With the same centre O, draw two circles of radii 4 cm and 2.5 cm.
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Draw a circle with any two of its diameters. If you join the ends of these diameters, what is the figure obtained if the diameters are perpendicular to each other? How do you check your answer?
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Draw any circle and mark points A,B and C such that (i) A is on the circle. (ii) B is in the interior of the circle. (iii) C is in the exterior of the circle.
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Let A and 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 \[{{l}_{1}},{{l}_{2}},{{l}_{3}}\] and \[{{l}_{4}}\] are at right angles.
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Draw a line segment of length 7.3 cm using a ruler.
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Construct a line segment of length 5.6 cm using ruler and compasses.
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Construct \[{{l}_{5}}\] of length 7.8 cm. From this, cut off \[{{l}_{1}},{{l}_{2}}\] of length 4.7 cm. Measure \[{{l}_{3}}\]
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Given \[S\xrightarrow[{}]{{}}\]of length 3.9 cm, construct \[{{l}_{1}}\] such that the length of \[{{l}_{2}}\] is twice that of \[{{l}_{2}},\] Verify by measurement.
(Hint Construct such that length of \[{{l}_{2}}\] length of AB, then cut of \[{{l}_{1}},{{l}_{2}},{{l}_{3}}\] such that \[{{l}_{4}}\] also has the length as \[{{l}_{1}},{{l}_{2}},{{l}_{3}}\]).
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Given, \[{{l}_{1}}\] of length 7.3 cm and \[{{l}_{2}}\] of length 3.4 cm construct a line segment \[{{l}_{1}}\] such that the length of \[{{l}_{1}}\] is equal to the difference between the lengths of \[{{l}_{2}}\] and \[S\xrightarrow[{}]{{}}\] Verify by measurement. TIPS Firstly, draw \[{{l}_{1}}\] and \[{{l}_{2}}\]then cut length of \[{{l}_{2}},\] from \[{{l}_{2}}\] and remaining length of \[{{l}_{2}}\] gives the difference between their lengths. Now, draw a line l and cut line segment \[{{l}_{1}},{{l}_{2}},{{l}_{3}}\] from it, whose length is equal to the difference of length \[{{l}_{4}}\] and \[{{l}_{1}},{{l}_{2}},{{l}_{3}}\]
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Draw any line segment \[{{l}_{1}}\] Without measuring \[{{l}_{2}}\] construct a copy of \[{{l}_{2}},\]
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Given, some line segment \[{{l}_{1}},{{l}_{2}},{{l}_{3}}\] whose length you do not know, construct \[{{l}_{4}}\] such that the length of \[{{l}_{1}}\] is twice that of \[{{l}_{1}},{{l}_{2}},{{l}_{3}},{{l}_{4}},{{l}_{5}}\]
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Draw any line segment \[{{l}_{1}},{{l}_{2}}\] Mark any point M on it. Through M, draw a perpendicular to \[{{l}_{3}}\](use ruler and compasses).
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Draw any line segment \[{{l}_{2}}\] Take any point R not on it. Through R, draw a perpendicular to \[S\xrightarrow[{}]{{}}\] (use ruler and set-square).
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Draw a line \[l\] and a point X on it. Through X, draw a line segment \[{{l}_{4}}\] perpendicular to \[l\]. Now, draw a perpendicular to \[{{l}_{1}},{{l}_{2}},{{l}_{3}}\] at Y. (use ruler and compasses)
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Draw \[{{l}_{4}}\] of length 7.3 cm and find its axis of symmetry.
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Draw a line segment of length 9.5 cm and construct its perpendicular bisector.
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Draw the perpendicular bisector of \[\overline{XY}\] 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 \[R\to \] what can you say about the lengths of MX and XY?
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Draw a line segment of length 12.8 cm. Using compasses, divide it into four equal parts. Verify by actual measurement. TIPS To divide the given line segment \[{{l}_{1}}\] into four equal parts, firstly we draw the perpendicular bisector of \[{{l}_{1}},{{l}_{2}},{{l}_{3}},{{l}_{4}},{{l}_{5}}\] which divide it into two equal parts. Then, draw perpendicular bisector of each part. Out of these two parts divide the given line segment into four equal parts.
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With \[{{l}_{1}}\] of length 6.1 cm as diameter, draw a circle. TIPS Firstly, divide the given diameter into two equal parts i.e. draw its perpendicular bisector, then take any one part as radius and common point of both part as centre, draw a circle which gives the required circle of diameter 6.1 cm.
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Draw a circle with centre C and radius 3.4 cm. Draw any chord AB. Construct the perpendicular bisector of \[{{l}_{1}}\]. and examine if it passes through C.
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Repeat Question 6, if \[{{l}_{4}}\]happens to be a diameter.
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Draw a circle of radius 4 cm. Draw any two of its chords. Construct the perpendicular bisectors of these chords. Where do they meet?
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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 \[{{l}_{2}}\] and \[{{l}_{1}}\] Let them meet at P. Is PA = PB?
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Draw \[{{l}_{4}}\]of measure \[{{75}^{o}}\] and find its line of symmetry. TIPS The line of symmetry of angle \[{{75}^{o}}\] is its perpendicular bisector.
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Draw an angle of measure \[{{147}^{o}}\] and construct its bisector.
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Draw a right angle and construct its bisector.
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Draw an angle of measure of \[{{153}^{o}}\] and divide it into four equal parts.
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Construct with ruler and compasses, angle of the following measures. (a) \[{{60}^{o}}\] (b) \[{{30}^{o}}\] (c) \[{{90}^{o}}\] (d) \[{{120}^{o}}\] (e) \[{{45}^{o}}\] (f) \[{{135}^{o}}\]
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Draw an angle of measure \[{{45}^{o}}\] and bisect it.
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Draw an angle of measure \[{{135}^{o}}\] and bisect it.
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Draw an angle of \[{{70}^{o}}\]. Make a copy of it using only a straight edge and compasses.
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Draw an angle of \[{{40}^{o}}\]. Copy its supplementary angle.
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