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9.CONGRUNCE OF TRIANGLE I. Choose the correct option.<1M> 1.Two line segments are congruent if ___________. (A) they have equal lengths (B) ) they have equal breadth C) they are not equal (D) none of these 2.Among two congruent angles, one has a measure of 70°; the measure of the other angle is ___________. (A) 600 (B) 300 (C) 700 (D) 450 3.Are the two triangles, PQS and PRS congruent? (A) No (B) Might be (C) Yes (D) Can't say 4.Give any real life example of congruent shapes. (A) A pair of shaving blades of same company (C) Computers of same company 5.Among (A) 60 o (B) Sheets of same letter pad (D) All of them two congruent angles, one has measure 80o, what is the measure of the other angle? (B) 40o (C) 80o (D) 90o 6.When are two objects congruent? (A) Objects which are similar in size and shape. (B) Object which are different in size and shapes. (C) Objects which are similar in size but different in shape. (D) All of them. 7.Complete the statement : Two line segments are congruent if _____________. (A) They are of different length. (B) They are of same length. (C) They are rays instead of segments. (D) None of them. 8.Triangle ABC is an isosceles triangle with AB = AC and AD as one of the altitudes of the triangle. B= C. Why? (A) The base angles of an isosceles triangle are equal (B) Angles opposite to equal sides are equal (C) Both option 'a' and 'b&rsquo (D) None of them 9.Two angles are congruent when ___________. (A) The angles are of equal measurement. (B) The angles are of not equal measurement (C) The angles are corresponding. (D) The angles are alternate. 10.Using what rule of congruency, can we prove and O is the midpoint of CD (A) SAS (B) ASA (C) AAA AOC and BOD congruent, if C and (D) None of them 11.If you want to show two triangles are congruent, using the SSS rule then you need to show ___________. (A) All angles are equal. (B) All sides are equal. (C) One angle and 2 sides are equal. (D) All of them. 12.Which of the pair of triangles are congruent? Fig(i) Fig (ii) (A) Only Fig (i) (B) Only Fig (ii) Fig (iii) (C) Only Fig (iii) (D) All of them D= 70o 13.Can two triangles having equal angles be congruent? (A) Yes (B) No (C) Can't say (D) Might be 14.In the given fig, D is the mid point of BC and AB = AC. By which rule are the triangles ABD and ACD congruent? (A) SSS (B) SAS (C) ASA (D) Both option 'a' and 'b' 15.If two triangles are congruent by the rule of SSS, will their respective perimeter be equal? (A) No (B) Yes (C) Might be (D) Can't say 16.By which rule, the two triangles are congruent? (A) SAS 17.The (C) ASA (D) RHS two triangles PQR and STU are congruent by the rule ___________ . (A) SSS 18.Congruent (A) Fake 19.In (B) SSS (B) RHS (C) ASA objects are ________ copies of each other. (B) Exact (C) Unequal the given figure, which two triangles are congruent? (D) SAS (D) None of them (A) AOB is congruent to ACO (B) AOC is congruent to (C) ADB is congruent to BCA (D) None of them ABO 20.Biscuits in same packet will be ______________. (A) Unequal (B) not congruent (C) Congruent 21.Perimeter of a rectangle ___________ b) 2(l+b) c) 2(l÷b) d) 2(lxb) a) 2(l-b) 22.In the given figure, AD is the bisector of AB = AC. by which rule? (B) SAS (A) SSS 23.What (A) = 24.Find [ the three pairs of equal parts in given ABC and ABC (A) RQP then, A (B) (D) RHS (D) ADB and (A) AB = AC, AD = DA and BDA = C DA (C) BD = CD, AD = AC and ABD = C DA 25.If ADC . (B) AD = AC, AB = AD and (D) None of them. PQR are congruent under the correspondence: P = ……. B (C) ] BAC and (C) ASA is the symbol of congruency? (B) (C) (D) can't say C (D) R BAD = CAD 26.If you want to show that two triangles are congruent using the SAS rule, then you need to show …………. (A) All angles are equal. (B) All sides are equal. (C) Two angles and 1 side are equal. (D) Two sides and the included angle of a triangle are equal to two corresponding sides and the included angle of another triangle. 27.In the given figure which of the following statements are true? (A) AOC BOC BOD OBD (B) AOC ABD (C) ACD AOD 28.SSS congruence means _______________ a) side, side, side b) side, angle, side [ c) side, side, angle (D) ] d) angle , angle, angle 29.In two plane figures F1 and F2 are congruent, if the trace-copy of F1 fits exactly on that of F2. We write this as ………………… (A) F1 = F2 (B) F1 F2 (C) F1 F2 (D) F1 F2 30.ABC If PQR by RHS criterion. then Q = ……… B= (A) 31.If (B) triangle ABC congruence to triangle CBD, then (A) CDB 32.Among (A) 50 33.In (C) 0 (B) CBD (C) (D) None of them. ABC = ……… DCB (D) None of them two congruent angles, one has a measure of 600 ; the measure of the other angle is ……. (B) 600 (C) 700 (D) 800 the given figure, triangle ABD is congruent to triangle ACD, by which rule? (A) SSS (B) SAS (C) ASA 34.Which angle is included between the sides FDE (B) EFD (A) (D) RHS and of (C) DEF ? (D) None of them 35.If you want to show that two triangles are congruent, using the ASA rule then you need to show …………. (A) All angles are equal. (B) All sides are equal. (C) Two angles and the included side of a triangle are equal to two corresponding angles and the included side of another triangle. (D) One angle and two sides are equal. 36.The given triangles are congruent to each other, write them in symbolic form: (A) ABC RQP (B) ABC QRP (C) CBA RQP (D) ACB RQP two angles have the same measure, then they are called … (A) Congruent. (B) Complimentary. (C) Supplementary. 37.If (D) Both of them. 38.Which congruence criterion do you use in the given information? AC = DF, AB = DE and BC = EF So ABC is congruent to DEF. (A) SAS (B) SSS (C) ASA (D) RHS 39.In congruence triangles ABC and PQR, three equality relation between some corresponding parts are AB = QP , B = Q and C = R. Which congruence condition is used here? [ ] a)SAS b)ASA c)SSS d)AAS 40.In the given figure ray AZ bisects DAB as well as . AB = …….. (A) AD (B) BC (C) AC (D) CD 41.In the given figure, the two triangles are congruent. The correspondingparts are marked. We can write RAT ………… (A) WON (B) WNO (C) NOW (D) None of them 42.The circles are congruent_____________ a) They have equal radii have equal areas [ ] b) They have equal lengths c) They have equal circumference d) They II. Solve the following problems.(2M) 1.In the following fig. , DA ABC an (i) 2.If (i) AB and AC = BD. State the three pairs of equal parts in DAB. Which of the following statements is meaningful? ABC BAD (ii) DEF E (ii) AB, CB ABC ABD BCA, write the parts that corresponds to (iii) F (iv) 3.If ABC FED under the correspondence ABC parts of the triangles. 4.It is to be established by RHS congruence rule that needed, if it is given that B= 5.In FED, write all the corresponding congruent ABC PQR. What additional information is Q = 90º and AC =PR? the figure, the two triangles are congruent. The corresponding parts are marked.Can we write RAT WON? If yes write equality parts in symbolic form III. Solve the following problems.(3M) 1.In triangles ABC and PQR, AB = 3.5 cm, BC = 7.1 cm, AC = 5 cm, PQ = 7.1 cm, QR = 5 cm and PR = 3.5 cm. Examine whether the two triangles are congruent or not. If yes, write the congruence relation in symbolic form. 2.In Fig, BD and CE are altitudes of ABC such that BD = CE. (i) State the three pairs of equal parts in CBD and (ii) Is CBD BCE? Why or why not? (iii) Is 3.In DCB = BCE. EBC? Why or why not? the given fig. , can you use ASA congruence rule and conclude that AOC BOD? 4.In , AB = AC and AD is the bisector of BAC. (i) State three pairs of equal parts in triangles ADB and ADC. (ii) Is ADB (iii) Is B= ADC? Give reasons. C? Give reasons. 5.In Fig, AD = CD and AB = CB. (i) State the three pairs of equal parts in (ii) Is ABD ABD and CBD? Why or why not? CBD. IV. Solve the following problems.(4M) 1.Complete the congruence statement: (i) BCA ? Write all the equality parts symbolically. By which rule you apply (ii) QRS ? Write all the equality parts symbolically. By which rule you apply 2.ABC is an isosceles triangle with AB = AC and AD is one of its altitudes. (i) State the three pairs of equal parts in ADB and (ii) Is ADB ADC? Why or why not? (iii) Is B= C? Why or why not? (iv) Is BD = CD? Why or why not? ADC.