Question

please give me the solution of the problems given in image it so urgent please give answer and with full solution and reasion also (this is class 7 th maths lesson congruence )

please answer

Answer 1

1) to show-
i) tri. DNM is cong. to tri.CNM
ii) DM=CN

i)PROOF
angDMN=90            -INCLUDED ANGLE      
MN=MN(COMMON) -SIDE
DN=CN                   -SIDE
SO THIS IS PROOVEN BY SAS CONG.CRIT.
ii) DN=CN (CPCT)

2)to show tri.ABC is ios.
BAD = CAD(GIVEN)
AD IS COMMON
BDA=CDA=90(GIVEN)
TRI. ADB IS CNGR.T TO ADC BY ASA
ANG B= ANG (CPCT)
AND AB=AC (CPCT)
THE TRI.ABC IS ISOSCELES BECAUSE 2 SIDES AND OPPOSITE ANGLES TO THE EQUAL SIDES ARE EQUAL.

 3) HERE THE ANS IS THAT-
TRI.ABD IS CONGR.T TO TRI.ACD BECAUSE ALL SIDES AND ALL ANGLES OF THE TWO GIVEN TRIANGLES COINSIDE ONE ANOTHER.
ANG.B=ANG.C - THEY ARE CORRESPONDING PARTS OF CONGR.T TRIANGLES(CPCT).
 ucan proove it ur own by the given informations
 hope it helps and pls select it as the best ans if u think so. thank u :-)