Straight lines $AC$ and $BD$ intersect at $O$. The given lengths are in centimetres: \(AO=OC=4

Question

Straight lines $AC$ and $BD$ intersect at $O$. The given lengths are in centimetres: $AO=OC=4$ and $BO=OD=3$. Also $\angle AOB=70^\circ$. If $\triangle AOB$ corresponds to $\triangle COD$, which side corresponds to $AB$?[1] Prove that $\triangle AOB$ and $\triangle COD$ are congruent. State the three matching facts and the congruence test.[2]

Accepted Answer

(a) $CD$ (b) SAS, using the two side pairs and vertically opposite included angles

Congruent triangles at an intersection

Congruent triangles at an intersection

Solution:

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