Question

List every way possible to prove that two triangles are congruent (ASA, SSS, etc.,), including a sketch of each scenario, with the proper marks to show congruence.

Answer 1

Given

triangles

Find

List every way possible to prove that two triangles are congruent

Step-by-step explanation

1) SSS congruence (Side - side - side)

when all corresponding sides of the two triangles are equal.

then ,

`\Delta ABC\cong\Delta PQR`

b) SAS congruence (Side - Angle - Side)

when two sides and one angle are equal.

then ,

`\Delta ABC\cong\Delta PQR`

c) ASA congruence (Angle - side - angle)

when two angles and one side are equal

`\Delta ABC\cong\Delta PQR`

d) RHS (right - hypotenuse - side)

in two right triangles when hypotenuse and one side are equal.

then ,

Final Answer

Hence , there are four possible ways to prove the triangles are congruent.