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Q1. Q2. What are the conditions for two triangles to be congruent? State the correspondence between the vertices, sides and angles of this pair of congruent triangles: Q3. Given below is a pair of triangle. State the property of congruence and name the congruent triangles. Q4. Given below is a pair of triangle. State the property of congruence and name the congruent triangles. Q5. In this figure, . Is ? Give reasons in support of your answer. © Copyright 2011 - 12 Educomp Solutions Ltd. Page 1 of 6 Q6. In the given figure . Prove that . Is ? Q7. In the given figure, , show that is a triangle in which is the bisector of . If is isosceles. Q8. In the given pair of triangle, state property of congruence and name the congruent triangles. Q9. If : , state the correspondence between the vertices, sides and angles of this pair of congruent triangles. © Copyright 2011 - 12 Educomp Solutions Ltd. Page 2 of 6 Q10. Find whether these triangles are congruent. State the property of congruence of this pair. Q11. Show that in a isosceles triangle, the angles opposite to the equal sides are equal. Q12. Are the given pair of triangles congruent? Q13. If : and Find if . Q14. Find if the following triangles are congruent or not: Q15. Are the right triangles with the following measurements congruent: © Copyright 2011 - 12 Educomp Solutions Ltd. Page 3 of 6 Q16. In the given figure, show that . Prove that : and hence . Q17. State the property of congruence for this pair of triangles: Q18. If two triangles have their corresponding angles equal, are they always congruent? Q19. For the following measurement of triangles, state whether the two triangles are congruent or not: © Copyright 2011 - 12 Educomp Solutions Ltd. Page 4 of 6 Q20. State whether these triangles are congruent or not. Give reason. Answers A1. Case Case Case Case -1: -2: -3: -4: SSS congruence condition SAS congruence condition ASA congruence condition RHS congruence condition A2. ; A3. SAS; A4. ASA; A5. Yes, A quadrilateral is a parallelogram if a pair of its opposite sides are equal and parallel. A6. Yes, Hint: ASA congruence condition, CPCT. A7. Hint: Prove congruence of triangles A8. ASA; . A9. ; A10. Yes, SSS © Copyright 2011 - 12 Educomp Solutions Ltd. Page 5 of 6 A11. A12. A13. Hint: Draw a perpendicular on base and then prove the two triangles thus formed to be congruent. No A14. A15. A16. Yes No Hint: Show that A17. A18. A19. A20. RHS congruence condition No Not congruent Not congruent, for the condition SAS the included angle of one triangle is not equal to the included angle of the other triangle. © Copyright 2011 - 12 Educomp Solutions Ltd. are congruent triangles. Page 6 of 6