Congruent Triangle Rules/Reasons Flashcards
What is the rule for a triangle to have to be congruent?
All six corresponding parts MUST be congruent, though you only need to know three for them to be congruent.
What is the Side-Side-Side postulate?
If three sides of a triangle are congruent to three sides of another triangle, then the triangles are congruent.
What is the Side-Angle-Side Postulate?
If two sides and the given angle of a triangle are congruent to crossing lines on a triangle and the given angle, then the triangles are congruent.
What is the Angle-Side Angle Postulate?
If two angles and a side are on one side of a triangle then the triangles are congruent.
What is the Angle-Angle-Side Postulate?
If consecutive angles and another side of a triangle are congruent to consecutive angles and a corresponding side, then the triangles are congruent.
What is the Special case of A.S.S? (Hypotenuse-Leg)
In a right triangle, if a hyptenuse side is congruent to the other triangle, the triangle is congruent.
What does CPCTC Stand for, when is it used in a proof, and what does it show?
Corresponding Parts of Congruent triangles are congruent; It is used at the end of a proof; It shows that 2 angles or sides are congruent on separate triangles.
What is the Reflexive Property and when is it used in a proof?
When the sides of a triangle are touching
Hypotenuse-Leg can only occur when there is a ___________.
Right angle
If there is a parallel parts of a triangle, then look for the ______.
Alternate Interior Angles.
What would you state in a proof for parallel triangles?
State both angles are congruent do to Alternate interior, then state the reflexive property for parallel triangles.
If two triangles share a side, then the ________ property is used in a proof.
Reflexive.
What is the transitive property?
States that if a=b and b=c then a=c
