Page 1 - Worksheet- Construction

SAI International School

CLASS - X

Mathematics
CHAPTER- 11Construction
WORKSHEET

1 To divide a line segment AB in the ratio 5:9, first a ray AX is 1
drawn so that ∠BAX is an acute angle and then at equal
distances points are marked on the ray AX such that the
minimum number of these points is:
(A) 8 (B) 10 (C)14 D) 1

2 To divide a line segment AB in the ratio 4:5, a ray AX is drawn 1
first such that ∠BAX is an acute angle and then points A1, A2,
A3, ....are located at equal distances on the ray AX and the
point B is joined to

(A) A12 (B) A11 (C) A10 (D) A9

3 To construct a triangle similar to a given ΔABC with its sides 1
3/7 of the corresponding sides of ΔABC, first draw a ray BX
such that ∠CBX is an acute angle and X lies on the opposite
side of A with respect to BC. Then locate points B1, B2, B3, ...
on BX at equal distances and next step is to join:
(A) B10 to C (B) B3 to C (C) B7 to C (D) B4 to C
4 To draw a pair of tangents to a circle which are inclined to each 1
other at an angle of 60°, it is required to draw tangents at end
points of those two radii of the circle, the angle between them
should be:
(A) 135° (B) 90° (C) 60° (D) 120 0

5 A pair of tangents can be constructed from a point P to a circle 1
of radius 3.5 cm situated at a distance of ___________ from
the centre.
(A) 5cm (B) 2cm (C) 3cm (D) 3.5cm

6 Draw the line segment of length 4.7 cm and a perpendicular bisector of 1
it.

7 Divide a line segment of length 8 cm in the ratio 3 : 4. 2

8 Draw a circle of diameter 6.3 cm. Then draw two tangents to the circle 3
from a point P at a distance of 7 cm from the centre of the circle.

9 Construct a triangle similar to a given triangle ABC with its sides equal to 3

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