Congruence in Triangles

Complete the proof. Choose a reason #4

• Definition of Congruent Figures

• Definition of Triangles

• Transitive Property

• Definition of Congruent Angles

If two figures have all corresponding ​ (a)   and all corresponding ​ (b)   congruent, then the two figures are congruent.

• Angles

• Sides

• Shapes

• Lengths

• Vertices

Given △XYZ ≅ △MNL. Find XY.

Choose a congruence statement if the triangles are congruent.

• ΔABC ≅ ΔEDF

• ΔABC ≅ ΔEFD

• ΔACB ≅ ΔEDF

• ΔCAB ≅ ΔFDE

• Not congruent.

Using the Third Angle Theorem, find the value of x.

Using the Third Angle Theorem find the value of x

Complete the proof. Choose a reason.

• Vertical Angles are Congruent

• Linear Pairs are Congruent

• Transitive Property

• Substitution Property

What are the five ways to prove triangles congruent?

• SSS, ASA, AAS, SAS, HL

• SSS, SSA, HL, AAS, SAS

• SAS, SSA, HL, AAS, SSS

• HL, SAS, SSA, SSS, ASA

Which is NOT a test to prove triangles congruent?

• SAA

• SSS

• SSA

• SAS