Write criteria for congruence of triangle
Answers
Answer ⤵
- It states that that two triangles are said to be congruent if they are copies of each other and when superposed, they cover each other exactly.
- In other words, two triangles are congruent if the sides and angles of one triangle are equal to the corresponding sides and angles of the other triangle.
✰More to know✰
What are the criteria for congruence of triangles?
- 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.
Hope helped
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 areequal in length, then the triangles are congruent.