AAS examples By: Ana Cristina Andrade

A D C E V V Given: segment AD is parallel to segment BC. Segment AD is congruent to segment CB Proof: Triangle AED congruent to triangle CEB StatementReasons Segment AD is parallel to segment BC. Given Angle DAE is congruent to angle BEC Alternate interior angle theorem Angle AED is congruent to angle BCE Vertical angles theorem AD is congruent to CDGiven Triangle AED is congruent to triangle CEB AAS B

A B D C > > Given: Angle B and angle D are right angles. Segment AB is parallel to segment DC. Proof: Triangle ADC is congruent to triangle BAC. StatementReason Angle B and angle D are right angles. Segment AB is parallel to segment DC given AC is congruent to ACReflexive property Angle DAC is congruent to angle ACB Alternate interior angles theorem Angle ADC is congruent to angle ABC Right angle theorem Triangle ADC is congruent to triangle BAC AAS

A B C D E F Given: Segment AB is congruent to segment DE. Angle C is congruent to angle F. Proof: Triangle ABC is congruent to triangle DEF. Statementreason Segment AB is congruent to segment DE. Angle C is congruent to angle F. Angle A & angle D are right angles Given Angle A is congruent to angle D Right angles theorem Triangle ABE is congruent to triangle DCE. AAS