Theorems And Postulates Flashcards
What is AA~?
Angle-angle similarity
What is SSS~
Side-side-side similarity
What is SAS~?
Side-angle-side similarity
What are the three ways to prove similarity?
SAS~, AA~, SSS~
What is triangle mid-segment theorem?
If a segment joins the midpoints of two sides of a triangle then the segment is parallel and half as long as the base of the triangle.
What is triangle proportionality theorem?
If a line is parallel to one side of a triangle then it divides the sides into segments of proportional lengths.
What is SSS?
Side-side-side congruence postulate
What is SAS?
Side-(included) angle-side congruence postulate
What is ASA?
Angle-(included) side- angle congruence postulate
What is AAS?
Angle-angle-side congruence theorem
What is HL?
Hypotenuse-leg congruence theorem
What are the 5 ways to prove congruency?
SSS, SAS, ASA, AAS, HL
What does CPCTC stand for?
Corresponding Parts of Congruent Triangles are Congruent
What is substitution property?
If A=B then A may be substituted by B in an expression (SMALL PART)
What is transitive property?
If A=B and B=C then A=C (BIG JUMP)
What is reflexive property?
A=A
What is vertical angles theorem?
If two angles are diagonal from each other, they are congruent
What is the linear pair theorem?
If two angles form a linear pair, they’re supplementary
What is congruent supplements theorem?
If two angles are supplementary to the same angle, they are congruent.
What is congruent complements theorem?
If A+B= 90 and C+B=90, A=C
What is the triangle sum theorem?
The sum of the measures of the angles of a triangle is 180 degrees
What is the exterior angle theorem?
An exterior angle is always equal to the sum of the two non-adjacent interior angles
What is the triangle inequality theorem?
A triangle can exist if the sum of the two smallest sides is greater than the largest side.
What is the perpendicular bisector theorem?
If a point lies on the perpendicular bisector of a segment, it is equidistant from the endpoints of the segment.
