Q 1. In ∆ABC, AB = 5 cm, AC = 7 cm. If AD is the angle bisector of ∠A. Then BD: CD is:

(a) 25: 49

(b) 49: 25

(c) 6: 1

(d) 5: 7

S2. Ans.(c)

Sol. Sum of two side of triangle is always greater than third

side.

side.

Q3. If AD is the bisector of ∠BAC. If BD = 2 cm, CD = 3 m and AB = 5 cm. Find AC.

(a) 6 cm

(b) 7.5 cm

(c) 10 cm

(d) 15 cm

Q6. ‘P’ is the point in the plane of a rhombus ABCD such that “P” is equidistant from the sides of ABCD. How many points such points are there?

(a) 4

(b) 2

(c) 1

(d) 0

S6. Ans.(c)

Sol. Only one point i.e. the point of intersection of diagonals of

the rhombus.

the rhombus.

Q10. If the altitudes from two vertices of triangle to the opposite sides are equal, the triangle is

(a) Equilateral

(b) Isosceles

(c) Scalene

(d) Right-angled

Q14. Consider the following statements:

I. If three sides of a triangle are equal to three sides of another triangle, the triangles are congruent.

II. If three angles of a triangle are equal to three angles of another triangles respectively, then the two triangles are congruent.

(a) I is correct and II is false

(b) Both I and II are false

(c) Both I and II are correct

(d) I is false and II is correct

S14. Ans.(a)

Sol. As second statements fails in case of equilateral triangles

having difference lengths of sides. So I is true and II is false.

having difference lengths of sides. So I is true and II is false.

Q15. The line segments joining the mid-points of the sides of a triangle form four triangles each of which is:

(a) Similar to the original triangle

(b) Congruent to the original triangle

(c) An equilateral triangle

(d) An isosceles triangle