Question

In the figure, O is the midpoint of the line segment AB and angle A = angle B. a)is triangle AOC congruent to trangleAOC BOD? Why. b)is oc=od why

Answer 1

Answer:

In ∆AOC and ∆BOD

OA= OB ( Given)

angle AOC= angle BOD(Vertically Opposite angles)

angle OAC = angle OBD ( Alternate interior angles)

∆AOC congruent ∆BOD (by Angle Side Angle congruency)

OC= OD (cpct)

Hope it helps you !!!!

Answer 2

Answer:

The 2 triangles are definitely congruent

Step-by-step explanation:

as you stated that O is the mid point of AB, and CD passes through O.

this means that AO and BO; CO and DO are congruent. as given Angle A =angle B