Hello, magentarita!

In the statement vs reasons chart, what is actually needed

to prove that two triangles are congruent? I refer to *corresponding* parts of two triangles.

Code:

C R
* *
* . * .
* . * .
* θ . * θ .
A * * * * * B P * * * * * Q

If two sides and the included angle of one triangle

. . equals two sides and the included angle of another triangle,

. . the triangles are congruent.

This is called "side-angle-side" or *s.a.s.*

Code:

. .
. . . .
* * * *
* α β * * α β *
A * * * * * B P * * * * * Q

If two angles and the included side of one triangle

. . equals two angles and the included side of another triangle,

. . the triangles are congruent.

This is called "angle-side-angle" or *a.s.a.*

Code:

C R
* *
* * * *
* * * *
* * * *
A * * * * * B P * * * * * Q

If three sides of one triangle are equal to three sides of another triangle,

. . the triangles are congruent.

This is called "side-side-side" or *s.s.s.*