Triangle MNO is shown.
Which triangle can be shown to be congruent to ∆MNO with only the given information?
There are 4 ways to prove 2 triangles are congruent:
1.) SideSideSide (SSS): if 3 sides of one triangle are equal to 3 sides of another triangle, then the 2 triangles are congruent. 2.) SideAngleSide (SAS): if 2 sides and the included angle of one triangle are equal to 2 sides and the included angle of another triangle, then the 2 triangles are congruent. 3.) AngleSideAngle (ASA): if 2 angles and the included side of one triangle are equal to 2 angles and the included side of another triangle, then the 2 triangles are congruent. 4.) AngleAngleSide (AAS): if 2 angles and a nonincluded side of one triangle are equal to 2 angles and a nonincluded side of another triangle, then the 2 triangles are congruent. The given triangle is congruent to D.) because of AngleSideAngle (ASA)  the 2 sides 4.07 and 4.99 are equal in both triangles, as well as the included angle of 60º being equal in both triangles. Ask Algebra House Comments are closed.

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