Theorems and Postulates Flashcards
The properties apply to angles too
Perpendicular lines ->
Right angles
If AB=CD , then CD=AB
Symmetric Property
If AB=CD and CD=BC, than AB=BC
Transitive property
AB=AB
Reflexive property
If angle B and angle A are right angles, what makes them =?
All right angles are congruent.
If AB||CD and CD||EF, than AB||EF
If two lines are parallel to the same line, then they are parallel
to each other.
The measure of each exterior angle of a triangle equals the sum
of the measures of its two remote interior angles.
Triangle Exterior Angle Theorem
If you add the same line to two congruent segments, they are still congruent.
Additive property
What are the two ways to prove right triangles congruent?
If a leg and the hypotenuse are congruent, and if both legs are congruent
After using the addition property to show two congruent segments plus the same congruent segments are equal, what step is next?
Show that the two new segments are equal using the substitution property.