The postulates that involve congruence are the following :
The two other congruence postulates are :
They are theorems that specify the conditions that must be met for two triangles to be congruent.
Reflecting
The four congruence theorem for right triangles are:- LL Congruence Theorem --> If the two legs of a right triangle is congruent to the corresponding two legs of another right triangle, then the triangles are congruent.- LA Congruence Theorem --> If a leg and an acute angle of a right triangles is congruent to the corresponding leg and acute angle of another right triangle, then the triangles are congruent.- HA Congruence Theorem --> If the hypotenuse and an acute angle of a right triangle is congruent to the corresponding hypotenuse and acute angle of another triangle, then the triangles are congruent.- HL Congruence Theorem --> If the hypotenuse and a leg of a right triangle is congruent to the corresponding hypotenuse and leg of another right triangle, then the triangles are congruent.
Congruence is basically the same as equality, just in a different form. Reflexive Property of Congruence: AB =~ AB Symmetric Property of Congruence: angle P =~ angle Q, then angle Q =~ angle P Transitive Property of Congruence: If A =~ B and B =~ C, then A =~ C
HL congruence theorem
Similarity is where triangles have equal angles at each corner. Congruence is where triangles have sides of equal length.
the congruence theorems or postulates are: SAS AAS SSS ASA
They are theorems that specify the conditions that must be met for two triangles to be congruent.
they are all postulates or shortcuts on finding 2 triangles congruence, except that SAA does not exist.
Putting a question mark at the end of a few words does not make it a sensible question. Please try again.
HA AAS
LA AAS [APEX]
LA and SAS [APEX]
LA ASA AAS [APEX]
LA and SAS [APEX]
Koch's Postulates
Reflecting