Congruent Triangles

Triangles are congruent if corresponding angles and sides are congruent.

The statements are used to show what corresponding parts are congruent

How can this congruency be stated?

• Side-Side-Side

• Side-Angle-Side

• Angle-Side-Angle

• Angle-Angle-Side

If three sides of one triangle are congruent to three sides of a second triangle, then the two triangles are congruent.

If two sides and the included angle of one triangle are congruent to two sides and the included angle of the second triangle, then the two triangles are congruent.

AC is congruent to ES because it is given. SC is congruent to CS by reflexive property. Therefore the needed information would be AS congruent to EC.

Let's fill in the proof

Let's fill in the proof.