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{{ printedBook.courseTrack.name }} {{ printedBook.name }} We are given a diagram and are asked what other information, if any, we need to prove that the two triangles are congruent by SAS. The given diagram shows that $LT≅MQ ,$ and that $∠L≅∠M.$

To prove that $△LTG≅△MQN$ by SAS, we must have two pairs of congruent sides and congruent included angles. We only have one pair of congruent sides and congruent angles. Therefore, we are missing *one* pair of congruent sides. Since congruent angles have to be included by congruent sides, we need $LG≅MN.$