AAS examples

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

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