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QUESTION IMAGE

state the congruence relation for △bwo and △iro. use only the markings …

Question

state the congruence relation for △bwo and △iro. use only the markings in the diagram.
asa
sas
aaa
not necessarily congruent

Explanation:

Step1: Identify vertical angles

Vertical angles are equal. So, \(\angle BOW=\angle IOR\) (vertical angles).

Step2: Check the side - angle - side (SAS) condition

From the markings, \(BW = IR\), \(\angle BOW=\angle IOR\), \(WO = RO\).
By the Side - Angle - Side (SAS) congruence criterion, \(\triangle BWO\cong\triangle IRO\)

Answer:

B. SAS