Report

By: Ana Cristina Andrade A B E V D Statement Reasons 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 CD Given Triangle AED is congruent to triangle CEB AAS V Given: segment AD is parallel to segment BC. Segment AD is congruent to segment CB Proof: Triangle AED congruent to triangle CEB C Statement A > D > Given: Angle B and angle D are right angles. Segment AB is parallel to segment DC. Proof: Triangle ADC is congruent to triangle BAC. Reason B Angle B and angle D given are right angles. Segment AB is parallel to segment DC C AC is congruent to AC Reflexive 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 Statement Given: Segment AB is congruent to segment DE. Angle C is congruent to angle F. Proof: Triangle ABC is congruent to triangle DEF. reason Segment AB is congruent Given to segment DE. Angle C is congruent to angle F. Angle A & angle D are right angles Angle A is congruent to angle D Right angles theorem A B F Triangle ABE is congruent AAS to triangle DCE. C E D