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.