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Draw an angle of 40⁰. Copy its supplementary angle.

Solution: To construct an angle of measure 450 and a copy of its supplementary angle listed below are the steps tat... View Article

Draw an angle of 70⁰. Make a copy of it using only a straight edge and compasses.

Solution: To construct an angle of measure 700 and its copy listed below are the steps that are to be followed... View Article

Draw an angle of measure 135⁰ and bisect it.

Solution: To construct an angle of measure1350 and its bisector and its bisector the steps are listed below (i) With the help of a... View Article

Draw an angle of measure 45⁰ and bisect it.

Solution: To construct an angle of measure 450 and its bisector the steps are listed below (i) With the help of... View Article

Construct with ruler and compasses, angles of following measures: (a) 60⁰ (b) 30⁰ (c) 90⁰ (d) 120⁰ (e) 45⁰ (f) 135⁰

Solution: (a) 600 To construct an angle of 600 the following steps can be followed (i) Draw a line l and... View Article

Draw an angle of measure 153⁰ and divide it into four equal parts.

Solution: To construct an angle of measure 1530 and its bisector listed below are the steps that are to be followed... View Article

Draw a right angle and construct its bisector.

Solution: To construct a right angle and its bisector listed below are the steps that are to be followed (i)... View Article

Draw an angle of measure 147⁰ and construct its bisector.

Solution: To construct an angle of measure 1470 and its bisector listed below are the steps that are to be... View Article

Draw ∠POQ of measure 75⁰ and find its line of symmetry.

Solution: To construct an angle of 750 and its line of symmetry listed below are the steps that are to be... View Article

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 [latex]overline{OA}[/latex] and [latex]overline{OB}[/latex] Let them meet at P. Is PA = PB?

Solution: (1) Draw any angle with vertex as O. (2) By considering O as centre and with convenient radius, draw arcs on... View Article

Draw a circle of radius 4 cm. Draw any two of its chords. Construct the perpendicular bisectors of these chords. Where do they meet?

Solution: (1) Locate any point O on the sheet. Now adjust the compasses up to 4 cm and by setting... View Article

Draw a circle with centre C and radius 3.4 cm. Draw any chord[latex]overline{AB}[/latex]. Construct the perpendicular bisector of [latex]overline{AB}[/latex] and examine if it passes through C.

Solution: (1)Locateany point C on the sheet (2) Adjust the compasses up to 3.4 cm and by putting the pointer... View Article

With [latex]overline{PQ}[/latex] of length 6.1 cm as diameter, draw a circle.

Solution: (1) Draw a line segment \(\begin{array}{l}\overline{PQ}\end{array} \) of 6.1 cm (2) Consider point P as centre and radius more than half... View Article

Draw a line segment of length 12.8 cm. Using compasses, divide it into four equal parts. Verify by actual measurement.

Solution: (1)Draw a line segment \(\begin{array}{l}\overline{XY}\end{array} \)of 12.8 cm (2) By considering point X as centre and radius more than half... View Article

Draw the perpendicular bisector of [latex]overline{XY}[/latex] 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 [latex]overline{XY}[/latex], what can you say about the lengths MX and XY?

Solution: (1) Draw a line segment \(\begin{array}{l}\overline{XY}\end{array} \) of 10.3 cm (2) Consider point X as centre and draw a circle by using... View Article

Draw a line segment of length 9.5 cm and construct its perpendicular bisector.

Solution: To construct a line segment of length 9.5 cm and to construct its perpendicular bisector the steps given below... View Article

Draw [latex]overline{AB}[/latex] of length 7.3 cm and find its axis of symmetry.

Solution: To construct \(\begin{array}{l}\overline{AB}\end{array} \) of length 7.3 cm and find its axis of symmetry the steps given below can be followed... View Article

Draw a line l and a point X on it. Through X, draw a line segment [latex]overline{XY}[/latex] perpendicular to l.Now draw a perpendicular to XY at Y. (use ruler and compasses)

Solution: (1)Draw a line l and mark a point X on it. (2) By considering X as centre and with... View Article

Draw any line segment [latex]overline{PQ}[/latex] Take any point R not on it. Through R, draw a perpendicular to [latex]overline{PQ}[/latex] (use ruler and set-square)

Solution: (1) Draw a given line segment \(\begin{array}{l}\overline{PQ}\end{array} \)and mark a point R outside the line segment \(\begin{array}{l}\overline{PQ}\end{array} \) (2) Place a set... View Article

Draw any line segment [latex]overline{AB}[/latex] Mark any point M on it. Through M, draw a perpendicular to [latex]overline{AB}[/latex](use ruler and compasses)

Solution: (1) Draw a line segment \(\begin{array}{l}\overline{AB}\end{array} \) and mark a point M on it. (2) Considering M as centre and... View Article

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