Q1. Which of the following does not represent the sides of a triangle?

1. 3 cm, 2 cm, 4 cm
2. 7 cm, 5, cm, 3 cm
3. 2 cm, 3 cm, 6 cm
4. 5 cm, 8 cm, 4 cm

Q2. Which of the following is incorrect?

1. The sum of any two sides of a triangle is always greater than the third side
2. Sum of any two sides of a triangle is greater than twice the median drawn to the third side
3. Sum of the three sides of a triangle is less than the sum of its three medians
4. If two angles of a triangle are unequal, then the greater angle has the greater side opposite to it

Q3. In Δ ACB, AB = 5, BC = 3. then ______ .

1. AC > 8
2. AC = 8
3. AC < 8
4. No restriction on the value of length of AC

Q4. Choose the correct statement from the following:

1. Sum of three sides of a triangle is less the sum of its three altitudes
2. Difference of any two sides of a triangle is equal to the third side
3. Of all the line segments that can be drawn from a point to a point containing it, the perpendicular line segment is the longest one
4. Sum of any two sides of a triangle is greater than twice the median drawn to the third side

Q5. Which of the following statements is incorrect ?

1. Two lines having same length are congruent
2. Two squares having the same side length are congruent
3. Two circles having the same radius are congruent
4. Two rectangles having the same area are congruent

Q6. In an isosceles right angled triangle, the measures of the acute angles are

1. 40^o, 50^o
2. 60^o, 30^o
3. 35^o, 55^o
4. 45^o, 45^o

Q7. Two sides of triangle are of lengths 5 cm and 1.5 cm. The length of the third side of the triangle cannot be

1. 3.6 cm
2. 4.1 cm
3. 3.8 cm
4.  3.4 cm

Q8. Two equilateral triangles are congruent when:

1. Their angles are equal
2. Their sides are equal
3. Their sides are proportional
4. Their areas are proportional

Q9. Which of the following is correct?

1. Sum of three sides of a triangle is less than the sum of its three altitudes
2. Difference between the lengths of any two sides of a triangle is always equal to the length of the third side
3. The sum of any two sides of a triangle is not always greater than the third side
4. Of all the line segments that can be drawn from a point to a line not containing it, the perpendicular line segment is the shortest one

Q10. Choose the correct statement

1. Sides opposite equal angles may be unequal
2. If thee altitude from one vertex of a triangle bisects the opposite side, then the triangle may be isosceles
3. If any two sides of a right triangle are respectively are equal to two sides of the other right triangle, then the two triangles are congruent
4. Two right triangles are congruent, if hypotenuse and a side of one are respectively equal to the hypotenuse and a side of the other triangle

Q11. The perimeter of a triangle is…. the sum of its medians.

1. less than
2. equal to
3. greater than twice
4. greater than

Q12. In an isosceles triangle, if the vertex angle is twice the sum of the equal base angles, then the angles of the triangle are

1. 120^o, 30^o, 30^o
2. 60^o, 60^o, 60^o
3. 80^o, 50^o, 50^o
4. 90^o, 45^o, 45^o

Q13. In triangle  PQR,   PQ + QR …… PR

1. <
2. >
3. =
4. ≥

Q14. A triangle can have:

1. Two right angles
2. Two obtuse angles
3. All angles more than 60^o
4. Two acute angles

Q15. Pick out the incorrect statement

1. Sides opposite to equal angles are equal in a triangle
2. If the altitude from one vertex of a triangle bisects the opposite side, then the triangle is isosceles
3. If the bisector of the vertical angle of the triangle bisects the base of the triangle, then the triangle is isosceles
4. All the altitudes of an isosceles triangle are equal

Q16. In a triangle ABC this statement will always be true.

1. AB+BC=AC
2. AB+BC>AC
3. AB+BC<AC
4. AB<BC<AC

Q17. It is not possible to construct a triangle when its sides are:

1. 8.3 cm, 3.4 cm, 6.1 cm
2. 5.4 cm, 2.2 cm, 3.1 cm
3. 6 cm, 7 cm, 10 cm
4. 3 cm, 5 cm, 5 cm

Q18. The bisector of the vertical angle of an isosceles triangle.

1. Divides the opposite side in the ratio 1:2
2. Bisects the opposite side
3. Is at 60 degrees angle to the opposite side
4. Is equal in length to the opposite side

Q19. If length of the largest side of a triangle is 12 cm then other two sides of triangle can be:

1. 4.8 cm, 8.2 cm
2. 3.2 cm, 7.8 cm
3. 6.4 cm, 2.8 cm
4. 7.6 cm, 3.4 cm

Q20. Two figures are congruent if they have

1. same shape
2. same size
3. same shape and size
4. same area