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Subject: Mathematics Topic: Chapter 7 Triangles | | 1. It is given that A ABC = A FDE and AB = 5 cm, 2B = 40° and ZA = 80°. Then which of the following is | true? (a) DF = 5 cm, ZF = 60° (b) DF = 5 cm, ZE = 60° (c) DE = 5 cm, ZE = 60° (d) DE=5 cm, ZD = 40° i _ ees | eee 2. Given two right angles triangles ABC and PRQ, such that ZA = 20°, ZQ = 20° and AC = QP. Write the correspondence if triangles are congruent. (a) AABC= APQR (b) ZABC = APRQ (c) ZABC = ARQP (d) AABC = AQRP 3. If AABC is congruent to ADEF by SSS congruence rule, then: (a) ZC < ZF (b) ZB < ZE | (¢) ZA < 2D | (d) ZA=ZD, ZB= ZE, Z2C=ZF 4. Assertion(A): If the bisector of the vertical angle of a triangle bisects the base of the triangle, then the triangle is equilateral. Reason(R): If three sides of one triangle are equal to the three sides of the other triangle, then the two triangles are congruent. (a) Both A and R are true and R is the correct explanation of A. (b) Both A and R are true but R is not the correct explanation of A. (c) A is true but R is false. (d) A is false but R is true. - 5. In the given figure, 2R = ZS and ZRPQ = ZPOS. Prove that PS = OR. 6. In the given figure, it is given that AE = AD and BD = CE. Prove that AAEB = AADC. 7. In the following figures, find the values of x and y. | (a) (b) = ¢ D 22eE 8. AABC = ADEF, AC = DF = 5 cm, BC = EF = 3 cm, and ZABC = 90°, ZBAC = x. Find ZDFE in terms of x. 9. In the adjacent figure, C is the mid-point of AD as well as of BE. Prove that AABC = ADEC. B a ,D A 7 E B D C 11. In a park, there are two triangular flower beds. Flower bed ABC has sides AB = 8 cm, BC = 6 cm, and CA | = 10 cm. Flower bed PQR has sides PQ = 8 cm, QR = 10 cm, and RP = 6 cm. Based on the above information and the given figure, answer the following questions: i. Using the given information, can we conclude that flower bed ABC is congruent to flower bed PQR? Why or why not? ii. If angle P = 50° and angle Q = 70° in flower bed PQR, what is the measure of angle R? iii. Suppose flower bed ABC is shifted to a new location within the park without changing its shape or size. In 10. In the given figure, AB = BC, AD L BC, CE 1 AB. Prove that AD = CE. | this new location, is flower bed ABC congruent to its original position? Why or why not? : | 
