CONGRUENT TRIANGLES

We have to prove that each SIDE in one triangle is congruent to the corresponding side in the other triangle.

We have to prove that each ANGLE is congruent to the corresponding angle in the other triangle.

When 2 triangles are congruent all the sides and all the angles are congruent.

 $\Delta ABC\cong\Delta DEF$  

AB = DE

AC = DF

BC = EF

 $\angle A\cong\angle D$  

 $\angle B\cong\angle E$  

 $\angle C\cong\angle F$  

Now we are going to draw another triangle congruent to it.

If you have spaghetti noodles use them.

You need 2 pieces one length, 2 pieces another length and 2 pieces the 3rd length.

Make your two triangles. Are they the same size?

They should be!

If all sides of one triangle are congruent to all the sides of another triangle the triangles are congruent by Side-Side-Side Postulate, (SSS)