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CBSE Class 10 Mathematics Worksheet
UNIT IV: Geometry - Constructions
Draw a circle of radius 3 cm. Take two points P and Q on one of its extended diameter each at a distance of 7 cm from its centre. Draw tangents to the circle from these two points P and Q?
To divide a line segment AB in the ratio 4:5, first a ray AX is drawn so that 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______.
8
B)9
C)4
D)
By geometrical construction, it is possible to divide a line segment in the ratio
TRUE
B)FALSE
A pair of tangents can be constructed to a circle inclined at an angle of
TRUE
B)FALSE
By geometrical construction, it is possible to divide a line segment in the ratio
TRUE
B)FALSE
Construct a triangle with sides 5 cm, 6 cm and 7 cm and then another triangle whose sides are 3/4 of the corresponding sides of the first triangle?
Divide a line segment AB of length 5 cm into 3:2 ratio
To divide a line segment PQ in the ratio a : b (a, b are positive integers), draw a ray PX so that is an acute angle and then mark points on ray PX at equal distances such that the minimum number of these points is_____.
a
B)a - b
C)
Construct a triangle similar to a given triangle PQR with PQ = 4cm, QR = 5 cm and PR = 6 cm with its sides equal to 4/5 of the corresponding sides of the triangle PQR?
Divide a line segment PQ of length 7.2 cm into 5:6 ratio?
Which theorem criterion we are using in giving the just the justification of the division of a line segment by usual method ?
SSS criteria
B)Basic proportionality theorem
C)Pythagor
A pair of tangents can be constructed to a circle inclined at an angle of ______.
Draw a circle of radius 6 cm. From a point 10 cm away from its centre, construct the pair of tangents to the circle and measure their lengths?
To divide a line segment AB in the ratio 4 : 5, draw a ray AX such that is an acute angle, then draw a ray BY parallel to AX and the points A1 , A2 , A3 , ... and B1 , B2, B3, ... are located at equal distances on ray AX and BY, respectively. Then the points joined are_______.
A6 and B5
B)A4 and B5
C)A5 and B4
To draw a pair of tangents to a circle which are at right angles to each other, it is required to draw tangents at end points of the two radii of the circle, which are inclined at an angle of_______.
To draw a tangent at point B to the circumcircle of an isosceles right ΔABCright angled at B, we need to draw through B ______
a line perpendicular to BC
B)a line perpendicular to AB
C)
Construct an isosceles triangle whose base 7 cm and altitude is 3.5 cm?
To construct a triangle similar to a given with its sides 3/7 of the corresponding sides of , first draw a ray BX such that 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______.
B10 to C
B)B7 to C
C)B3 to C
D)
In division of a line segment AB, any ray AX making angle with AB is_____.
right angle
B)obtuse angle
C)ac
Two distinct tangents can be constructed from a point P to a circle of radius r situated at a distance.
r from centre
B)r/2 from centre
C)More than r from centre
CBSE Class 10 Mathematics Worksheet
UNIT IV: Geometry - Constructions
Answers