Unit 5 Triangle congruence formulas and rules Flashcards
corresponding parts
the sides and angles that are in the same relative position between two figures
CPCTC Theorem
the theorem stating that if two or more triangles are congruent, then their corresponding angles and sides are also congruent; it stands for “corresponding parts of congruent triangles are congruent”
SSS Congruence Theorem
the theorem stating that if two triangles have three pairs of congruent corresponding sides, then the triangles are congruent
Reflexive Property of Congruence
the property that states that an angle, line segment, or geometric figure is congruent to itself
SAS Congruence Theorem
the theorem stating that if two triangles have one pair of congruent angles between two pairs of congruent sides, then the triangles are congruent
midpoint
a point that is the exact middle of a line segment
ASA Congruence Theorem
he theorem stating that if two triangles have one pair of congruent sides between two pairs of congruent angles, then the triangles are congruent
angle bisector
a line or segment that divides an angle into two equal parts
AAS Congruence Theorem
the theorem stating that if two triangles have two pairs of congruent angles and a pair of congruent, corresponding non-included sides, then the triangles are congruent
perpendicular bisector
a line or line segment that divides another line segment into two equal parts and intersects it at a 90-degree angle
HL Congruence Theorem
the theorem stating that if two right triangles have congruent hypotenuses and a pair of congruent legs, then the triangles are congruent
Pythagorean Theorem
the theorem which states that the square of the length of the hypotenuse of a right triangle is equal to the sum of the squared lengths of the other two sides
What thereom does this desribe: three sides
SSS
What thereom does this desribe: two sides and an angle
SAS
What thereom does this desribe: two angles and a side
ASA
