Question

If the diagonals of a parallellogram HOPE bisect at A, then $△HOA\cong$ and $△OPA\cong$
.

• A. $△PEA$
• B. $△HEO$
• C. $△EHA$
• D. $△PEA$

Answer 1

Answer: (C), (D)

The correct options are
C $△EHA$
D $△PEA$


As you can see, EA = AO and HA = AP since diagonals bisect each other,
and opposite sides of a parallellogram are equal .
$\therefore$ According to SSS criteria,
$△HOA\cong △PEA$
and $△OPA\cong △EHA$