Question

Write
any
two
criteria
for congruence
of triangles. ​

Answer 1

Answer:

Two triangles are said to be congruent if their sides have the same length and angles have same measure. Thus, two triangles can be superimposed side to side and angle to angle. Sides: AB=PQ, QR= BC and AC=PR; Angles: ∠A = ∠P, ∠B = ∠Q, and ∠C = ∠R.

Step-by-step explanation:

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Answer 2

THE CRITERIA ARE :

1) SAS (Side-Angle-Side):

If two pairs of sides of two triangles are equal in length, and the included angles are equal in measurement, then the triangles are congruent.

2)SSS (Side-Side-Side):

If three pairs of sides of two triangles are equal in length, then the triangles are congruent.

3)ASA (Angle-Side-Angle):

If two pairs of angles of two triangles are equal in measurement, and the included sides are equal in length, then the triangles are congruent.

4).AAS (Angle-Angle-Side):

If two pairs of angles of two triangles are equal in measurement, and a pair of corresponding non-included sides are equal in length, then the triangles are congruent.

5)RHS (Right-angle-Hypotenuse-Side), also known as HL (Hypotenuse-Leg):

If two right-angled triangles have their hypotenuses equal in length, and a pair of shorter sides are equal in length, then the triangles are congruent.

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