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Q1. In an isosceles triangle, if the vertex angle is twice the sum of the equal base angles, then the angles of the triangle are
120o, 30o, 30o
60o, 60o, 60o
80o, 50o, 50o
90o, 45o, 45o
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. The perimeter of a triangle is.... the sum of its medians.
less than
equal to
greater than twice
greater than
Q4. In triangle  PQR,   PQ + QR …… PR
<
>
=
≥
Q5. 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
Q6. In a triangle ABC this statement will always be true.
AB+BC=AC
AB+BC>AC
AB+BC<AC
AB<BC<AC
Q7. A triangle can have:
Two right angles
Two obtuse angles
All angles more than 60o
Two acute angles
Q8. 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
Q9. 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
Q10. 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
Q11. In Δ ACB, AB = 5, BC = 3. then ______ .
AC > 8
AC = 8
AC < 8
No restriction on the value of length of AC
Q12. 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
Q13. In an isosceles right angled triangle, the measures of the acute angles are
40o, 50o
60o, 30o
35o, 55o
45o, 45o
Q14. 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
Q15. If the vertex angle of an isosceles triangle is 3x and the base angles have a sum of 7x. What is the measure of base angle?
20°
40°
68°
63°
Q16. Two equilateral triangles are congruent when:
Their angles are equal
Their sides are equal
Their sides are proportional
Their areas are proportional
Q17. 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
Q18. 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
Q19. 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
Q20. Two figures are congruent if they have
same shape
same size
same shape and size
same area

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