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Question
- which property of similarity can be used to prove triangles lkj and zyx are similar? aa sss not enough information sas
The AA (Angle - Angle) similarity criterion states that if two angles of one triangle are congruent to two angles of another triangle, then the two triangles are similar. In triangles \(LKJ\) and \(ZYX\), we can observe that two pairs of angles are marked as congruent. This satisfies the AA similarity criterion. The SSS (Side - Side - Side) similarity requires the ratios of all three pairs of corresponding sides to be equal. The SAS (Side - Angle - Side) similarity requires the ratio of two pairs of corresponding sides to be equal and the included angles to be congruent. Since we are only given information about angles (two pairs of congruent angles), we cannot use SSS or SAS. And there is enough information (two pairs of congruent angles) to apply the AA criterion.
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