in the given figure if the line segment AB is parallel to another line segment RS and O is the - Maths - Lines and Angles

Question

in the given figure if the line segment AB is parallel to
another line segment RS and O is the mid point of AS then show
that:
1 triangle AOB is congruent to triangle SOR
2 O is the midpont of BR

In the given figure if the line segment AB is parallel to
another line segment RS and O is the mid-point of AS then show
that:
1 △ AOB is congruent to △
SOR
2 O is the mid-point of BR

Lovina Kansal · Accepted Answer

Dear student
<img alt="" src=
"https://s3mn%20mnimgs%20com/img/shared/ck-files/ck_581dc13cda618%20png">
Consider triangle SOR and AOB∠SOR=∠AOB    [Vertically opposite angle]OS=OA   [Given]∠RSO=∠OAB    [aletrnate interior angle]So, △SOR≅△AOB   ASA Rule⇒OR=OB    [By CPCT]⇒O is the mid-point of RB
Regards