Download Applying Similarity Using the Angle

APPLYING SIMILARTY
USING THE ANGLEANGLE (AA) CRITERIONS
~ADAPTED FROM WALCH EDUCATION
ANGLE-ANGLE (AA) SIMILARITY
STATEMENT
• If two angles of one triangle are congruent to two
angles of another triangle, then the triangles are
similar.
• it is not necessary to show that the third pair of angles is
congruent because the sum of the angles must equal 180˚.
PRACTICE #1
• Explain why
of
, and then find the length
• Hint: Similar triangles have corresponding sides that are
proportional.
SOLUTION
• Show that the triangles are similar.
• Since
and
by AA Similarity Statement
• Find the length of
AB
DE
3.4
=
=
AC
DF
6.9
2.72
x
(2.72)(6.9) = (3.4)(x)
x = 5.52
, then
THANKS FOR
WATCHING!
~DR. DAMBREVILLE