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SAI INTERNATIONALSCHOOL
Class:IX

Mathematics

Worksheet -2

TOPIC: SSS,RHS CONGRUENCY& INEQUALITY OF TRIANGLE

1. D is a point on the side BC of a ΔABC such that AD bisects ∠BAC. Then, 1
(a) BD = CD (b) BA > BD
(c) BD > BA (d) CD > CA

2. In ΔPQR, if ∠R >∠Q, then 1
(a) QR > PR (b) PQ > PR
(c) PQ < PR (d) QR < PR

3. In a Δ ABC, if ∠B = ∠C = 45°, which is the longest side? 1

4. In two congruent triangles ABC and DEF, if AB = DE and BC = EF. Name the 1
pairs of equal angles.

o
5. If ABC and DEF are two triangles such that AC = 2.5 cm, BC = 5 cm, C = 75 , 1
0
DE = 2.5 cm, DF = 5 cm and D = 75 . Are two triangles congruent?

6. Is it possible to construct a triangle with lengths of sides as 9 cm, 7 cm 1
and 17 cm? Give reason for your answer.

7. AB and CD are the smallest and largest sides of a quadrilateral ABCD. 1
Out of ∠B and ∠D decide which is greater.

8. In two right triangles one side an acute angle of one are equal to the 2
corresponding side and angle of the other. Prove that the triangles are
congruent.

9. ABC is a triangle and D is the mid-point of BC. The perpendiculars from D to AB 2
and AC are equal. Prove that the triangle is isosceles.

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