R.D. Sharma solutions for Mathematics [English] Class 9 chapter 16 - Constructions [Latest edition]

Draw a line segment of length 8.6 cm. Bisect it and measure the length of each part.

Draw a line segment AB of length 5.8 cm. Draw the perpendicular bisector of this line
segment.

Draw a circle with centre at point O and radius 5 cm. Draw its chord AB, draw the
perpendicular bisector of line segment AB. Does it pass through the centre of the circle?

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?

Draw a line segment of length 10 cm and bisect it. Further bisect one of the equal parts and
measure its length.

Draw a line segment AB and bisect it. Bisect one of the equal parts to obtain a line segment of length `1/2` (AB).

7. Draw a line segment AB and by ruler and compasses1 obtain a line segment of length `3/4`AB. 

 Draw an angle and label it as ∠BAC. Construct another angle, equal to ∠BAC.

Draw an obtuse angle, Bisect it. Measure each of the angles so obtained.

Using your protractor, draw an angle of measure 108°. With this angle as given, draw an
angle of 54°.

Using protractor, draw a right angle. Bisect it to get an angle of measure 45°.

Draw a linear pair of angles. Bisect each of the two angles. Verify that the two bisecting rays are perpendicular to each other.

Draw a pair of vertically opposite angles. Bisect each of the two angles. Verify that the bisecting rays are in the same line.

Using ruler and compasses only, draw a right angle.

Using ruler and compasses only, draw an angle of measure 135°.

Using a protractor, draw an angle of measure 72°. With this angle as given, draw angles of measure 36° and 54°.

Construct the following angles at the initial point of a given ray and justify the construction 45°

Construct the following angles at the initial point of a given ray and justify the construction 90°. 

Construct the angle of the measurement :

 1. 30°

Construct the angle of the measurement:

1 . 75°

Construct the angle of the measurement:

1 . 105°

Construct the angle of the measurement:

1. 135°

Construct the angle of the measurement:

1. 15°

Construct the angle of the measurement:

1. 22 `(1°)/2`

Construct a ΔABC in which BC = 3.6 cm, AB + AC = 4.8 cm and ∠B = 60°.

Construct a ΔABC in which AB + AC = 5.6 cm, BC = 4.5 cm, AB − AC = 1.5 cm and ∠B = 45°.

Construct a ΔABC in which BC = 3.4 cm, AB − AC = 1.5 cm and ∠B = 45°.

Using ruler and compasses only, construct a ΔABC, given base BC = 7cm, ∠ABC = 60° and AB + AC = 12 cm.

Construct a right-angled triangle whose perimeter is equal to 10 cm and one acute angle equal to 60°.

Construct a triangle ABC such that BC = 6 cm, AB = 6 cm and median AD = 4 cm.

Construct a right triangle ABC whose base BC is 6 cm and the sum of hypotenuse AC and other side AB is 10 cm.

Construct a triangle whose perimeter is 6.4 cm, and angles at the base are 60° and 45° .

Using ruler and compasses only, construct a ΔABC from the following data:
AB + BC + CA = 12 cm, ∠B = 45° and ∠C = 60°.

Construct a triangle XYZ in which ∠Y = 30°, ∠Z = 90° and XY + YZ + ZX = 11.