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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