Question 1

Question 1: Draw line segments of the lengths given below and draw their perpendicular bisectors: i. 5.3 cm ii. 6.7 cm iii. 3.8 cm

Accepted Answer

i. Line AB is the perpendicular bisector of seg PQ.

Question 2

Question 2: Draw angles of the measures given below and draw their bisectors: i. 105° ii. 55° iii. 90°

Accepted Answer

i. 105°

Question 3

Question 3: Draw, an obtuse-angled triangle and a right-angled triangle. Find the points of concurrence of the angle bisectors of each triangle. Where do the points of concurrence lie?

Accepted Answer

The points of concurrence of the angle bisectors of both the triangles lie in the interior of the triangles.

Question 4

Question 4: Draw a right-angled triangle. Draw the perpendicular bisectors of its sides. Where does the point of concurrence lie?

Accepted Answer

The point of concurrence of the perpendicular bisectors of the sides of the right angled triangle lies on the hypotenuse.

Question 5

Question 5: Maithili, Shaila and Ajay live in three different places in the city. A toy shop is equidistant from the three houses. Which geometrical construction should be used to represent th

Accepted Answer

Solution: Since, Maithili, Shaila and Ajay live in three different places, lines joining their houses will form a triangle. The position of the toy shop which is equidistant from three houses can be found out by drawing the perpendicular bisector of the sides of the triangle joining the three houses

Question 6

Question 1: Draw a line segment PS of length 4cm and draw its perpendicular bisector. (Textbook pg. no. 1)

Accepted Answer

Step-by-step solution provided.

Chapter 1 Geometrical Constructions Practice Set 1 Solutions