...equilateral triangle is equiangular. THEOREM 20. (ASA THEOREM) If a correspondence between the vertices of two triangles is such that two angles and the included side of the first triangle * For a treatment of this, on a somewhat different postulational basis, see E. Moise, Elementary Geometry...

...one-to-one correspondence between the vertex sets of two triangles. If two sides and the included angle of the first triangle are congruent to the corresponding...triangle, then the correspondence is a congruence. This is the one basic property of [a0, &, dE, m] that [^, У, dj, m] does not have. That is why [^,...

...respectively, to two sides and the included angle of another triangle, then all the parts (angles and sides) of the first triangle are congruent to the corresponding parts of the second triangle. (e) If two angles and the included side of one mangle are congruent, respectively, to two angles and...

...correspondence between two triangles (or between a triangle and itself), if two sides and the included angle of the first triangle are congruent to the corresponding...triangle, then the correspondence is a congruence. Postulate 16 (The Parallel Postulate) Through a given external point there is at most one line parallel...

...congruent. ~ 18.5 Theorem Two triangles are congruent if they satisfy the ASA condition; that is, if two angles and the included side of the first triangle are congruent respectively to the corresponding parts of the second triangle. 18.6 Theorem Two triangles are congruent...