But it would be incorrect to say ?\triangle ABC\cong \triangle GFE?, since this statement doesn’t list the letters for the vertices of the triangle on the right (in the figure) in the same order as the letters for the corresponding vertices of the triangle on the left. Specifically, we will be discussing three congruence postulates: 1. Side ?\overline? in ?\triangle DEF?.įor instance, in the figure above, it would be correct to say that ?\triangle ABC\cong \triangle EFG? because angles ?A? and ?E? are congruent, angles ?B? and ?F? are congruent, and angles ?C? and ?G? are congruent. Hello This student-centered activity is an assessment of the identification and use of different theorems which can prove the congruence between two triangles. The letters ?A?, ?B?, and ?C? for the vertices of ?\triangle ABC? correspond to the letters ?D?, ?E?, and ?F?, respectively, for the vertices of ?\triangle DEF?. If we have a pair of congruent triangles, ?\triangle ABC? and ?\triangle DEF?, then the triangle congruency statement ?\triangle ABC\cong\triangle DEF? means that all of the following are true: Then the letters for the endpoints of pairs of congruent sides will also be in the same places. Write the names so that the letters for the vertices are in the same places. Whenever you state that two triangles are congruent, you must match the letters for corresponding vertices when you name the triangles.Įven if the letters for the vertices of one of the triangles are in alphabetical order, the letters for the corresponding vertices of the other triangle will not necessarily be in alphabetical order.
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