Q: How do you prove triangle congruence?

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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.

A triangle having 3 congruent sides is an equilateral triangle

right triangle

HyL Congruence Theorem : if a leg and the hypotenuse of one right triangle are congruent to a corresponding leg and the hypotenuse of another right triangle,then the triangles are congruent._eytiin cu ;)

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).

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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.

SAS

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.

reflexive property of congruence

HL congruence theorem

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.

A triangle having 3 congruent sides is an equilateral triangle

There is nothing specific folloing right triangle congruence theorem. It depends on the order in whih the syllabus is taught.

It is a theorem, not a postulate, since it is possible to prove it. If two angles and a side of one triangle are congruent to the corresponding angles and side of another triangle then the two triangles are congruent.

BAD = BCD is the answer i just did it

Since ASA is a congruence postulate and congruence implies similarity, then the answer is : yes.

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.