# How to make two triangle congurent?

1
by Daf

2015-08-30T20:09:16+05:30

(1) there are 3 sets of congruent sides
(2) there are 3 sets of congruent angles.

For those same two triangles, ABC and DEF, we know the following:
(1) line segment AB is  to line segment DE.
(2) line segment BC is  to line segment EF.
(3) line segment AC is  to line segment DF.
(4) angle A is  to angle D.
(5) angle B is  to angle E.
(6) angle C is  to angle F.
SSS (side side side) = If three sides of one triangle are congruent to three sides of another triangle, the triangles are congruent.SAS (side angle side) = If two sides and the angle in between are congruent to the corresponding parts of another triangle, the triangles are congruent.ASA (angle side angle) = If two angles and the side in between are congruent to the corresponding parts of another triangle, the triangles are congruent.AAS (angle angle side) = If two angles and the non-included side of one triangle are congruent to the corresponding parts of another triangle, the triangles are congruent.HL (hypotenuse leg) = If the hypotenuse and leg of one right triangle are congruent to the corresponding parts of another right triangle, the right triangles are congruent. Remember that if we know two sides of a right triangle we know the third side anyway, so this is really just SSS.