Given
triangles
Find
List every way possible to prove that two triangles are congruent
Explanation
1) SSS congruence (Side - side - side)
when all corresponding sides of the two triangles are equal.
then ,
[tex]\Delta ABC\cong\Delta PQR[/tex]
b) SAS congruence (Side - Angle - Side)
when two sides and one angle are equal.
then ,
[tex]\Delta ABC\cong\Delta PQR[/tex]
c) ASA congruence (Angle - side - angle)
when two angles and one side are equal
[tex]\Delta ABC\cong\Delta PQR[/tex]
d) RHS (right - hypotenuse - side)
in two right triangles when hypotenuse and one side are equal.
then ,
[tex]\Delta ABC\cong\Delta DEF[/tex]
Final Answer
Hence , there are four possible ways to prove the triangles are congruent.
