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Page 1 Question:57 Mark the correct alternative in each of the following: If ABC ? ?LKM, then side of ?LKM equal to side AC of ?ABC is a LK b KM c LM d None of these Solution: It is given that As triangles are congruent, same sides will be equal. So Hence c . Question:58 If ?ABC ? ?ABC is isosceles with a Page 2 Question:57 Mark the correct alternative in each of the following: If ABC ? ?LKM, then side of ?LKM equal to side AC of ?ABC is a LK b KM c LM d None of these Solution: It is given that As triangles are congruent, same sides will be equal. So Hence c . Question:58 If ?ABC ? ?ABC is isosceles with a AB = AC b AB = BC c AC = BC d None of these Solution: It is given that and is isosceles Since triangles are congruent so as same side are equal Hence a . Question:59 If ?ABC ? ?PQR and ?ABC is not congruent to ?RPQ, then which of the following is not true: a BC = PQ b AC = PR c AB = PQ d QR = BC Solution: If and is not congruent to Since and compare corresponding sides you will see (As ) Hence a , is not true. Question:60 In triangles ABC and PQR three equality relations between some parts are as follows: AB = QP, ?B = ?P and BC = PR State which of the congruence conditions applies: a SAS b ASA c SSS d RHS Solution: Page 3 Question:57 Mark the correct alternative in each of the following: If ABC ? ?LKM, then side of ?LKM equal to side AC of ?ABC is a LK b KM c LM d None of these Solution: It is given that As triangles are congruent, same sides will be equal. So Hence c . Question:58 If ?ABC ? ?ABC is isosceles with a AB = AC b AB = BC c AC = BC d None of these Solution: It is given that and is isosceles Since triangles are congruent so as same side are equal Hence a . Question:59 If ?ABC ? ?PQR and ?ABC is not congruent to ?RPQ, then which of the following is not true: a BC = PQ b AC = PR c AB = PQ d QR = BC Solution: If and is not congruent to Since and compare corresponding sides you will see (As ) Hence a , is not true. Question:60 In triangles ABC and PQR three equality relations between some parts are as follows: AB = QP, ?B = ?P and BC = PR State which of the congruence conditions applies: a SAS b ASA c SSS d RHS Solution: In and It is given that Since two sides and an angle are equal so it obeys Hence a . Question:61 In triangles ABC and PQR, if ?A = ?R, ?B = ?P and AB = RP, then which one of the following congruence conditions applies: a SAS b ASA c SSS d RHS Solution: In and It is given that Since given two sides and an angle are equal so it obeys Hence b . Question:62 In ?PQR ? ?EFD then ED = a PQ b QR c PR d None of these Solution: If We have to find Since , as in congruent triangles equal sides are decided on the basis of “how they are named”. Hence Page 4 Question:57 Mark the correct alternative in each of the following: If ABC ? ?LKM, then side of ?LKM equal to side AC of ?ABC is a LK b KM c LM d None of these Solution: It is given that As triangles are congruent, same sides will be equal. So Hence c . Question:58 If ?ABC ? ?ABC is isosceles with a AB = AC b AB = BC c AC = BC d None of these Solution: It is given that and is isosceles Since triangles are congruent so as same side are equal Hence a . Question:59 If ?ABC ? ?PQR and ?ABC is not congruent to ?RPQ, then which of the following is not true: a BC = PQ b AC = PR c AB = PQ d QR = BC Solution: If and is not congruent to Since and compare corresponding sides you will see (As ) Hence a , is not true. Question:60 In triangles ABC and PQR three equality relations between some parts are as follows: AB = QP, ?B = ?P and BC = PR State which of the congruence conditions applies: a SAS b ASA c SSS d RHS Solution: In and It is given that Since two sides and an angle are equal so it obeys Hence a . Question:61 In triangles ABC and PQR, if ?A = ?R, ?B = ?P and AB = RP, then which one of the following congruence conditions applies: a SAS b ASA c SSS d RHS Solution: In and It is given that Since given two sides and an angle are equal so it obeys Hence b . Question:62 In ?PQR ? ?EFD then ED = a PQ b QR c PR d None of these Solution: If We have to find Since , as in congruent triangles equal sides are decided on the basis of “how they are named”. Hence c . Question:63 If ?PQR ? ?EFD, then ?E = a ?P b ?Q c ?R d None of these Solution: If Then we have to find From the given congruence , as equal angles or equal sides are decided by the location of the letters in naming the triangles. Hence a Question:64 In a ?ABC, if AB = AC and BC is produced to D such that ?ACD = 100°, then ?A = a 20° b 40° c 60° d 80° Solution: In the triangle ABC it is given that We have to find Now linearpair Page 5 Question:57 Mark the correct alternative in each of the following: If ABC ? ?LKM, then side of ?LKM equal to side AC of ?ABC is a LK b KM c LM d None of these Solution: It is given that As triangles are congruent, same sides will be equal. So Hence c . Question:58 If ?ABC ? ?ABC is isosceles with a AB = AC b AB = BC c AC = BC d None of these Solution: It is given that and is isosceles Since triangles are congruent so as same side are equal Hence a . Question:59 If ?ABC ? ?PQR and ?ABC is not congruent to ?RPQ, then which of the following is not true: a BC = PQ b AC = PR c AB = PQ d QR = BC Solution: If and is not congruent to Since and compare corresponding sides you will see (As ) Hence a , is not true. Question:60 In triangles ABC and PQR three equality relations between some parts are as follows: AB = QP, ?B = ?P and BC = PR State which of the congruence conditions applies: a SAS b ASA c SSS d RHS Solution: In and It is given that Since two sides and an angle are equal so it obeys Hence a . Question:61 In triangles ABC and PQR, if ?A = ?R, ?B = ?P and AB = RP, then which one of the following congruence conditions applies: a SAS b ASA c SSS d RHS Solution: In and It is given that Since given two sides and an angle are equal so it obeys Hence b . Question:62 In ?PQR ? ?EFD then ED = a PQ b QR c PR d None of these Solution: If We have to find Since , as in congruent triangles equal sides are decided on the basis of “how they are named”. Hence c . Question:63 If ?PQR ? ?EFD, then ?E = a ?P b ?Q c ?R d None of these Solution: If Then we have to find From the given congruence , as equal angles or equal sides are decided by the location of the letters in naming the triangles. Hence a Question:64 In a ?ABC, if AB = AC and BC is produced to D such that ?ACD = 100°, then ?A = a 20° b 40° c 60° d 80° Solution: In the triangle ABC it is given that We have to find Now linearpair Since So, byisoscelestriangle This implies that Now, Propertyoftriangle Hence a . Question:65 In an isosceles triangle, if the vertex angle is twice the sum of the base angles, then the measure of vertex angle of the triangle is a 100° b 120° c 110° d 130° Solution: Let be isosceles triangle Then Now it is given that vertex angle is 2 times the sum of base angles (As ) Now Propertyoftriangle (Since , and )Read More
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