Question

9. In the adjoining figure, BOY = 90° = ZMAN.
OY = AM and BM = YN. .
Show that BOY = MAN.​

Answer 1

Step-by-step explanation:

in triangle BOY and AMN

angle BOY = angle MAN = 90° [ given ]

OY = MA [given]

BY + MY = MY + YN

since given that BY = YN

we can write it as

BY = MN [ as BM = YN and MY is common side]

therefore

by SAS congruence rule

triangle BOY is congruent to triangle AMN