Q19 of 97 Page 195

In ∆ABC and ∆PQR, it is given that AB=AC, ∠C=∠P and ∠P=∠Q. Then, the two triangles are

It is given in the question that,

In ∆ABC and ∆PQR, we have


AB = AC


Also, ∠C = ∠B


As, ∠C = ∠P and, ∠B = ∠Q


∴ ∠P = ∠Q


So, both triangles are isosceles but not congruent


Hence, option (A) is correct

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17

In ∆ABC and ∆DEF, it is given that AB=DE and BC=EF. In order that ∆ABC≅∆DEF, we must have

 18

In ∆ABC and ∆DEF, it is given that ∠B=∠E and ∠C=∠F. In order that ∆ABC ≅ DEF, we must have

 20

Which is true?

 21

Three statements are given below:

(I) In a ∆ABC in which AB=AC, the altitude AD bisects BC.


(II) If the altitudes AD, BE and CF of ∆ABC are equal, then ∆ABC is equilateral.


(III) If D is the midpoint of the hypotenuse AC of a right ∆ABC, then BD=AC.


Which is true?