Chapter 6: Using Congruent Triangles Flashcards
Theorem 20: If two triangles are congruent to the same triangle, then
they are congruent to each other
Corresponding Parts of Congruent Triangles Are Congruent (C.P.C.T.C.): If two triangles are congruent, then
their vertices can be paired in a correspondence so that all pairs of corresponding angles are congruent and all pairs of corresponding sides are congruent
An altitude of a triangle is
a segment drawn from any vertex of the triangle perpendicular to the opposite side and extended outside the triangle if necessary
A median of a triangle is
a segment drawn from any vertex of the triangle to the midpoint of the opposite side
Theorem 21: If a point lies on the perpendicular bisector of a segment, then
the point is equidistant from the endpoints of the segment
Theorem 22: If a point is equidistant from the endpoints of a segment, then
the point lies on the perpendicular bisector of the segment
Theorem 23: Base Angles Theorem: If two sides of a triangle are congruent (equal), then
the angles opposite those sides are congruent (equal)
Corollary 23.1: If a triangle is equilateral, then
it is also equiangular
Theorem 24: The altitudes extending to the legs of an isosceles triangle are
congruent (equal)
Theorem 25: Converse of the Base Angles Theorem: If two angles of a triangle are congruent (equal), then
the sides opposite those angles are congruent (equal)
Corollary 25.1: If a triangle is equiangular, then
it is also equilateral
Theorem 26: The medians extending to the legs of a isosceles triangle are
congruent (equal)
