Math  /  Geometry

QuestionDetermine if triangle JKLJ K L and triangle MNOM N O are or are not similar, and, if they are, state how you know. (Note that figures are NOT necessarily drawn to scale.)
SSS: three sides proportionate SSS: three sides congruent SAS: two sides proportionate, included angle congruent SAS: two sides + included angle congruent AA: two angles congruent

Studdy Solution
Check for similarity using the AA criterion:
- JKL \triangle JKL has a 90 90^\circ angle at K K . - Since the sides KL KL and JL JL are equal, JKL \triangle JKL is isosceles, and the angles at J J and L L are equal. - MNO \triangle MNO is also isosceles with N=O \angle N = \angle O . - Since both triangles have a right angle and two equal angles, they are similar by the AA criterion.
The triangles JKL \triangle JKL and MNO \triangle MNO are similar by both the SSS and AA criteria.

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