SSS, SAS, ASA, AAS, RHS. SSA can prove congruence if the angle in question is obtuse (if it's 90 degrees, then it's exactly equivalent to RHS).
there are 4 types of congruence theorem-: ASA,SSS,RHS,SAS
It does not necessarily prove congruence but it does prove similarity. You can have a smaller or bigger triangle that has the same interior angles.
RHS congruency, or, right angle, hypotenuse and corresponding side.
right triangle
SSS, SAS, ASA, AAS, RHS. SSA can prove congruence if the angle in question is obtuse (if it's 90 degrees, then it's exactly equivalent to RHS).
there are 4 types of congruence theorem-: ASA,SSS,RHS,SAS
All right angles are of the same measure ie equal.
The two triangle congruence theorems are the AAS(Angle-Angle-Side) and HL(Hypotenuse-Leg) congruence theorems. The AAS congruence theorem states that if two angles and a nonincluded side in one triangle are congruent to two angles and a nonincluded side in another triangle, the two triangles are congruent. In the HL congruence theorem, if the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle, the two triangles are congruent.
It does not necessarily prove congruence but it does prove similarity. You can have a smaller or bigger triangle that has the same interior angles.
The only Two Triangle congruence shortcuts that do not prove congruence are: 1.AAA( Three pairs of angles in a triangle) & 2.ASS or SSA(If the angle is not in between the two sides like ASA.
RHS congruency, or, right angle, hypotenuse and corresponding side.
There is nothing specific folloing right triangle congruence theorem. It depends on the order in whih the syllabus is taught.
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.
Since ASA is a congruence postulate and congruence implies similarity, then the answer is : yes.
right triangle
Similarity is where triangles have equal angles at each corner. Congruence is where triangles have sides of equal length.