Transcript Proving triangle similarity using sas and sss

PROVING TRIANGLE
SIMILARITY USING SAS
AND SSS SIMILARITY
~adapted
from
Walch
Education
SIDE-ANGLE-SIDE (SAS) SIMILARIT Y
STATEMENT
 If the measures of two sides of a triangle are proportional to
the measures of two corresponding sides of another triangle
and the included angles are congruent, then the triangles are
similar.
SIDE-SIDE-SIDE (SSS) SIMILARIT Y
STATEMENT
 If the measures of the corresponding sides of two triangles
are proportional, then the triangles are similar.
PROOFS
• A proof is a set of justified statements organized to
form a convincing argument that a given statement
is true.
•
Definitions, algebraic properties, and previously proven statements
can be used to prove a given statement.
 There are several types of proofs, such as paragraph
proofs, two-column proofs, and flow diagrams.
 Every good proof includes step-by-step statements that support your
reasoning
PRACTICE # 1
According to the diagram
Compare the side lengths: If the triangles are
similar, then the corresponding sides are
proportional.
AB
EF
=
6
4
=
3
AC
2
ED
=
10.5
7
=
The side lengths are proportional.
by the Side-Angle-Side (SAS)
Similarity Statement.
3
2
Determine
whether
the
triangles
are similar.
Explain
your
reasoning.
THANKS FOR WATCHING!
~ Ms.
Dambreville