Triangles [Congruency in Triangles]

206. Same Shape, Same Size · The definition of congruent triangles

Corresponding sides and angles stay equal, so triangle DEF can always be slid to coincide exactly with ABC.

ABCEFcabc'a'b'AB = 360.6AB = 360.6BC = 400BC = 400CA = 360.6CA = 360.6DE = 360.6DE = 360.6EF = 400EF = 400FD = 360.6FD = 360.6ABCD
Two triangles are congruent (written ΔABC ≅ ΔDEF) when they have the same shape and size — every pair of corresponding sides is equal (AB = DE, BC = EF, CA = FD) and every pair of corresponding angles is equal. Congruent triangles can be superimposed, fitting exactly one over the other. Drag D to slide triangle DEF onto ABC — it covers it perfectly.
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