Transcript Proving Congruence – ASA, AAS

Proving Congruence – ASA,
AAS
Included side – In a triangle, a side that is
between two angles.
Angle-Side-Angle Congruence Postulate
(ASA)
• If two angles and the included side of one
triangle are congruent to two angles and the
included side of another triangle, then the
triangles are congruent.
Write a paragraph proof.
Given:
Prove: ABD CDB
Proof:
because alternate interior
angles are congruent.
because alternate interior angles are congruent.
by Reflexive Property. ABD CDB by
ASA.
Proving Congruence – ASA,
AAS
Angle-Angle-Side Congruence
Postulate (AAS)
• If two angles and a nonincluded side of
one triangle are congruent to the
corresponding two angles and
nonincluded side of a second triangle,
then the triangles are congruent.
Write a flow proof.
Given:
Prove:
Proof:
The curtain decorating the window forms 2 triangles
at the top. B is the midpoint of AC.
inches and
inches. BE and BD each use the same amount
of material, 17 inches. Determine whether ABE CBD
Justify your answer.
Answer: ABE CBD by SSS