triangle congruence proofs Flashcards
Proofs you can use
SAS, AAS, ASA, SSS, HL
addition postulate
equals added to equals are equal
subtraction postulate
equals subtracted from equals are equal
multiplication postulate
Equals multiplied by equals are equal
division postulate
equals divided by equals are equal
partition postulate
The whole is equal to the sum of its parts.
substitution
A quantity may be substituted for an equal quantity
Reflexive property
Anything is equal to itself
right angles proof
If two lines are perpendicular, they will intersect to form four right angles
all right angles are congruent
angle bisector proof
An angle bisector is a line that splits an angle into two congruent angles
alternate interior/exterior angle proof
two parallel lines are cut by a transversal, then the resulting alternate interior angles or alternate exterior angles are congruent
side bisector congruence proof
The bisector of a line divides the line into two congruent parts
vertical angles proof
- they lie opposite to each other when two lines intersect
- Whenever two lines cross or intersect each other two pairs of vertical angles are formed
- vertical angles are congruent
Proofs you can NEVER use
AAA, ASS
CPCTC
Corresponding parts of congruent triangles are congruent
