What does congruence mean?

It was created for the use of congruence between segments, angles, and triangles. Also it was created for the transitional property of congruence, symmetry property of congruence, and Reflexive property of congruence.

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

there are 4 types of congruence theorem-: ASA,SSS,RHS,SAS

the congruence theorems or postulates are: SAS AAS SSS ASA

Yes. Congruence implies similarity. Though similarity may not be enough for congruence. Congruence means they are exactly the same size and shape.

These are transformations that do not change the shape or size, only its location (translation) or orientation (rotation).

Yes. Congruence implies similarity. Though similarity is not enough for congruence.

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

Angle side angle congruence postulate. The side has to be in the middle of the two angles

similarity and congruence are both different. Congruence is when two shapes are identical; in size and shape whereas similarity is when two shapes look similar but can vary in size.

Pascal (both the Persians and the Chinese) discovered the congruence of traingle during the eleventh century

When in a triangle, for angle A, B, C; As the symmetric property of congruence , when ∠A ≌ ∠B then ∠B ≌ ∠A and when ∠A ≌ ∠C then ∠C ≌ ∠A and when ∠C ≌ ∠B then ∠B ≌ ∠C This is the definition of symmetric property of congruence.

It is a special case of: the 3 sides (SSS) congruence, using Pythagoras, the 2 sides and included angle (SAS) congruence, using the sine rule.

In order to prove the triangle's congruence, he had to find the measure of all three sides. trust please -dan

There is not Substitution Property of Congruence. There is, however, one for Equality, called the Substitution Property of Equality.

No it doesn't. It guarantees similarity, but not congruence.

The size of the shape changes with a similarity transformation (enlargement), whereas it does not with a congruence transformation.

Reflecting

stretching

No. No. No. No.

It is no more nor less important than any other theorem for congruence.

No. Congruence implies similarity, so they are also similar. Though similarity is not enough for congruence.

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.

SAA Congruence Postulate states that if two angles and a side opposite one of the angles are the same, the triangles are congruent.

It refers to the congruence of two sides and a non-included angle of one triangle with that of another. SSA does not imply congruence of the triangles.