The ratio of the sides of the triangle to be constructed with the corresponding sides of the given triangle is known as their ____________

1

(a)

Scale factor.

The tangent line is ___________ to the radius through the point of contact.

1

(a)

Perpendicular.

The difference of any two sides of a triangle is always __________ than the third side.

1

(a)

Less

The sum of all the angles of a triangle is________________

1

(a)

180^o

To construct a triangle similar to a given triangle as per given scale factor which may be __________ than or may be __________ than 1.

1

(a)

Less, greater

At least three parts are sufficient for construction of a triangle.

1

(a) False

(b) True

In order to divide a line segment internally in the ratio m : n, both m and n are real numbers.

1

(a) True

(b) False

Two tangents can be drawn to a circle through a point outside the circle.

1

(a) False

(b) True

In all geometrical constructions only two geometrical instruments viz. graduated ruler and compasses are required.

1

(a) False

(b) True

A tangent line meets the circle only in one point

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(a) False

(b) True

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.

1

(a)

Minimum number of points = 5 + 7 = 12

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.

1

(a)

The minimum number of points = 8, greater of numerator or denominator.

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.

1

(a)

A₁₁

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.

1

(a)

Angle between the radii = 180° - 60° = 120°

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, B_2, B₃,......... on BX at equal distance and then which points are joined in the next step.

1

(a)

B₇ to C