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

- 3 cm, 2 cm, 4 cm
- 7 cm, 5, cm, 3 cm
- 2 cm, 3 cm, 6 cm
- 5 cm, 8 cm, 4 cm

**Q2. Which of the following is incorrect?**

- The sum of any two sides of a triangle is always greater than the third side
- Sum of any two sides of a triangle is greater than twice the median drawn to the third side
- Sum of the three sides of a triangle is less than the sum of its three medians
- 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 ______ .**

- AC > 8
- AC = 8
- AC < 8
- No restriction on the value of length of AC

**Q4. Choose the correct statement from the following:**

- Sum of three sides of a triangle is less the sum of its three altitudes
- Difference of any two sides of a triangle is equal to the third side
- 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
- 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 ?**

- Two lines having same length are congruent
- Two squares having the same side length are congruent
- Two circles having the same radius are congruent
- Two rectangles having the same area are congruent

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

- 40
^{o}, 50^{o} - 60
^{o}, 30^{o} - 35
^{o}, 55^{o} - 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**

- 3.6 cm
- 4.1 cm
- 3.8 cm
- 3.4 cm

**Q8. Two equilateral triangles are congruent when:**

- Their angles are equal
- Their sides are equal
- Their sides are proportional
- Their areas are proportional

**Q9. Which of the following is correct?**

- Sum of three sides of a triangle is less than the sum of its three altitudes
- Difference between the lengths of any two sides of a triangle is always equal to the length of the third side
- The sum of any two sides of a triangle is not always greater than the third side
- 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**

- Sides opposite equal angles may be unequal
- If thee altitude from one vertex of a triangle bisects the opposite side, then the triangle may be isosceles
- 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
- 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.**

- less than
- equal to
- greater than twice
- 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**

- 120
^{o}, 30^{o}, 30^{o} - 60
^{o}, 60^{o}, 60^{o} - 80
^{o}, 50^{o}, 50^{o} - 90
^{o}, 45^{o}, 45^{o}

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

- <
- >
- =
- ≥

**Q14. A triangle can have:**

- Two right angles
- Two obtuse angles
- All angles more than 60
^{o} - Two acute angles

**Q15. Pick out the incorrect statement**

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

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

- AB+BC=AC
- AB+BC>AC
- AB+BC<AC
- AB<BC<AC

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

- 8.3 cm, 3.4 cm, 6.1 cm
- 5.4 cm, 2.2 cm, 3.1 cm
- 6 cm, 7 cm, 10 cm
- 3 cm, 5 cm, 5 cm

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

- Divides the opposite side in the ratio 1:2
- Bisects the opposite side
- Is at 60 degrees angle to the opposite side
- 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:**

- 4.8 cm, 8.2 cm
- 3.2 cm, 7.8 cm
- 6.4 cm, 2.8 cm
- 7.6 cm, 3.4 cm

**Q20. Two figures are congruent if they have**

- same shape
- same size
- same shape and size
- same area