Step 1: Remember the SAS congruent theorem

DEFINITION: If one angle of a triangle is equal to one angle of the other

triangle and the sides including these angles are proportional, then the two

triangles are similar.

Step 2: Find the two triangles with two pairs of congruent sides and

congruent **included** angles.

EXAMPLE: Side UW ≅ BC

Angle** **∠ U ≅ ∠ B

Side UV ≅ BD

Step 3: Conclude that the given triangles are congruent if two triangles with two pairs of congruent

sides and congruent **included** angles.

EXAMPLE: Two sides and the included angle of △UVW are congruent to

two sides and the included angle of △BCD, so these triangles

are congruent by the SAS Theorem.