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Published on: 26/08/2019
Constructions
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1.
To construct a triangle similar to a given \(\Delta ABC\) with its sides \(\frac{3}{7}\) of the corresponding sides of \(\Delta ABC\), first draw a ray BX such that \(\angle CBX\) 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 distance and then which points are joined in the next step.
2.
To draw a pair of tangents to a circle which are inclined to each other at an angle of 60° , it is required to draw tangents at end points of those two radii of the circle, then find the angle between them.
3.
To divide a line segment AB in the ratio 4 : 7, a ray AX is drawn first such that \(\angle BAX\) is an acute angle and then points A1 , A2 , A3 ..... are located at equal distances on the ray AX point B is joined to which point.
4.
To construct a triangle similar to a given \(\triangle\)ABC with its sides \(\frac{8}{5}\) of the corresponding sides of \(\triangle\)ABC, draw a ray BX such that \(\angle CBX\) is an acute angle and X is on the opposite side of A with respect to BC. Then write the minimum number of points to be located of equal distances on ray BX.
5.
To divide a line segment AB in the ratio 5 : 7, first a ray AX is drawn so that \(\angle BAX\) is an acute angle then find the minimum number of such points marked at equal distances on the ray AX.
6.
To construct a triangle similar to a given triangle as per given scale factor which may be __________ than or may be __________ than 1.
7.
The sum of all the angles of a triangle is________________
8.
The difference of any two sides of a triangle is always __________ than the third side.
9.
The tangent line is ___________ to the radius through the point of contact.
10.
The ratio of the sides of the triangle to be constructed with the corresponding sides of the given triangle is known as their ____________
11.
A tangent line meets the circle only in one point
12.
In all geometrical constructions only two geometrical instruments viz. graduated ruler and compasses are required.
13.
Two tangents can be drawn to a circle through a point outside the circle.
14.
In order to divide a line segment internally in the ratio m : n, both m and n are real numbers.
15.
At least three parts are sufficient for construction of a triangle.
1.
( )
B7 to C
2.
( )
Angle between the radii = 180° - 60° = 120°
3.
( )
A11
4.
( )
The minimum number of points = 8, greater of numerator or denominator.
5.
( )
Minimum number of points = 5 + 7 = 12
6.
( )
Less, greater
7.
( )
180o
8.
( )
Less
9.
( )
Perpendicular.
10.
( )
Scale factor.
11.
(a)
12.
(a)
13.
(a)
14.
(b)
15.
(a)
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