Download AA Similarity

Sec: 7.3
Sol:G.14
Angles
AA Similarity: If two _________
of one triangle
Angles of another
are congruent to two _______
triangle, then the triangles are similar.
AB CD
Find AE, DE & AD
C
A
8
3x + 4
E
4
x + 12
B
D

SSS Similarity: If the measures of the
Sides
corresponding ____________________
of two
triangles are proportional, then the
triangles are similar.
◦ Example: Determine if the following two triangles
similar.
Sides
SAS Similarity: If the measures of two __________of
a triangle are proportional to the measures of two
corresponding sides of another triangle and the
Congruent then the two
included angles are _________,
triangles are similar.
Example:
Determine if the following two triangles are
similar, if yes, then find x.
4
9
2
x
3
6
Similarity of triangles is reflexive, symmetric, and
transitive.
◦ Reflexive: ABC ~ ABC
◦ Symmetric: if ABC ~ DEF , ThenDEF ~ ABC
◦ Transitive: if ABC ~ DEF and DEF ~ GHI , ThenABC ~ GHI
To estimate the height of a tree, a Girl Scout sights the top of
the tree in a mirror that is 34.5 meters from the tree. The
mirror is on the ground and faces upward. The scout is 0.75
meters from the mirror, and the distance from her eyes to the
ground is about 1.75 meters. How tall is the tree?
Classwork: Handout
Homework: Pg 455 10-12,15,16,18,20,26