Q3 of 14 Page 149

You have to show that . In the following proof, supply the missing reasons.
























Steps



Reason



(i) PM = QM



(i)…



(ii) ∠PMA =∠QMA



(ii)…



(iii) AM = AM



(iii)…



(iv)



(iv)…


In the above question, we have to show that:



For this, we have to show the following things:
























Steps



Reason



(i) PM = QM



Given



(ii) ∠PMA =∠QMA



Given



(iii) AM = AM



Common



(iv)



By SAS congruence criterion as two sides and the angle included between these sides are equal



More from this chapter

All 14 →
1

Which congruence criterion do you use in the following?

(a) Given: AC=DF


AB=DF


BC=EF


∆ABC ∆DEF




(b) Given: ZX=R


RQ=ZY


∠PQR = ∠XYZ


∆PQR ∆XYZ




(c) ∠MLN = ∠FGH


∠NML = ∠GFH


ML=FG


∆LMN ∆GFH




(d) Given: EB=DB


AE=BC


∠A = ∠C=90o


∆ABC ∆CDB


 2

You want to show that ∆ART ∆PEN,

(a) If you have to use SSS criterion, then you need to show


(i) AR =


(ii) RT =


(iii) AT =


(iv) AT =



(b) If it is given that ∠T = ∠N and you are to use


SAS criterion, you need to have


(i) RT = and (ii) PN =



(c) If it is given that AT = PN and you are to use


ASA criterion, you need to have


(i) ? (ii) ?

 4

In ABC, ∠A = 30o, ∠B = 40o and ∠C = 110o. In, ∠P = 30o, ∠Q = 40o and ∠R = 110o. A student says that by AAA congruence criterion. Is he justified? Why or why not?

 5

In the figure, the two triangles are congruent. The corresponding parts are marked. We can write ?