Theorems for Geometry

My theorems for geometry

51 cards   |   Total Attempts: 188
  

Cards In This Set

Front Back
Theorem 1-1
If two lines intersect, then they intersect in exactly one point
Theorem 1-2
Through a line and a point not in the line there is exactly one plane.
Theorem 1-3
If two lines intersect, then exactly one plane contains the lines.
Theorem 2-1 (Midpoint Theorem)
If M is the midpoint of segment AB then AM=1/2 AB and MB=1/2 AB.
Theorem 2-2 (Angle Bisector Theorem)
If ray BX is the bisector of
Theorem 2-3
Vertical Angles are congruent.
Theorem 2-4
If two lines are perpendicular, then they form congruent adjacent angles.
Theorem 2-5
If two lines form congruent adjacent angles, then the lines are perpendicular.
Theorem 2-6
If the exterior sides of two adjacent acute angles are perpendicular, then the angles are complementary.
Theorem 2-7
If two angles are supplements of congruent angles (or of the same angle), then the two angles are congruent.
Theorem 2-8
If two angles are complements of congruent angles (or of the same angle), then the two angles are congruent.
Theorem 3-1
If two parallel planes are cut by a third plane, then the lines of intersection are parallel.
Theorem 3-2
If two parallel lines are cut by a transversal, then the alternate interior angles are congruent
Theorem 3-3
If two parallel lines are cut by a transversal, then same-side interior angles are supplementary.
Theorem 3-4
If a transversal is perpendicular to one of two parallel lines, then it is perpendicular to the other one also.