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21 Cards in this Set
 Front
 Back
Theorem 41
Isosceles Triangle Theorem If two sides of a triangle are congruent, then the angles opposite those sides are also congruent. 
Geometry
Rules! 

Theorem 41 Corollary
Isosceles Triangle Theorem If a triangle is equilateral, then it is equiangular. 
Geometry Rules!


Theorem 42
The bisector of the vertex angle of an isosceles triangle is the perpendicular bisector of the base. 
Geometry Rules!


Theorem 43
Converse of the Isosceles Triangle Theorem. If two angles of a triangle are congruent, then the sides opposite the angles are congruent. 
Geometry Rules!


Theorem 43 Corollary
If a triangle is equiangular, then it is equilateral. 
Geometry Rules!


Theorem 44
If a triangle is a right triangle, then the acute angles are complementary. 
Geometry Rules!


Theorem 45
If two angles of one triangle are congruent to two angles of another triangle, then the third angles are congruent. 
Geometry Rules!


Theorem 46
All right angles are congruent. 
Geometry Rules!


Theorem 47
If two angles are congruent and supplementary, then each is a right angle. 
Geometry Rules!


Theorem 48
Triangle Midsegment Theorem If a segment joins the midpoints of two sides of a triangle, then the segment is parallel to the third side and half its length. 
Geometry Rules!


Theorem 49
Triangle Inequality Theorem The sum of the lengths of any two sides of a triangle is greater than the length of the third side. 
Geometry Rules!


Theorem 410
If two sides of a triangle are not congruent, then the larger angle lies opposite the larger side. 
Geometry Rules!


Theorem 411
If two angles of a triangle are not congruent, then the longer side lies opposite the larger angle. 
Geometry Rules!


Theorem 412
Perpendicular Bisector Theorem If a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment. 
Geometry Rules!


Theorem 413
Converse of Perpendicular Bisector Theorem If a point is equidistant from the endpoints of a segment, then it is on the perpendicular bisector of the segment. 
Geometry Rules!


Theorem 414
Angle Bisector Theorem If a point is on the bisector of an angle, then it is equidistant from the sides of the angle. 
Geometry Rules!


Theorem 415
Converse of Angle Bisector Theorem If a point in the interior of an angle is equidistant from the sides of the angle, then it is on the angle bisector. 
Geometry Rules!


Theorem 416
The perpendicular bisectors of the sides of a triangle are concurrent at a point equidistant from the sides. 
Geometry Rules!


Theorem 418
The lines that contain the altitudes of a triangle are concurrent. 
Geometry Rules!


Theorem 419
The medians of a triangle are concurrent. 
Geometry Rules!


Theorem 21
Triangle AngleSum Theorem The sum of the measures of the angles of a triangle is 180. 
Geometry Rules!
