Download 7.3 similar triangles.notebook

7.3 similar triangles.notebook
January 10, 2017
1/10/17 ­ Warm Up Problem
A movie theater screen has a width of 45 ft and a length
of 25 ft. Which TV screen is a similar rectangle to the
movie screen?
27 in
20 in
36 in
36 in
7.3 similar triangles.notebook
January 10, 2017
7.3 similar triangles.notebook
January 10, 2017
Section 7.3 - Proving Triangles Similar
Goals: Identify similar triangles
Use similar triangles to solve problems
Are these similar triangles?
7.5
5
10
7.3 similar triangles.notebook
January 10, 2017
Proving Triangles Similar - Shortcuts
Postulate 7­1 Angle ­ Angle Similarity (AA~)
If two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.
7.3 similar triangles.notebook
January 10, 2017
Proving Triangles Similar - Shortcuts
Theorem 7­1 Side ­ Angle ­ Side Similarity (SAS~)
If one angle of one triangle is congruent to one angle of another triangle and the sides including the two angles are proportional, then the triangles are similar.
L
H
10
5
J
F
G
3
K
6
7.3 similar triangles.notebook
January 10, 2017
Proving Triangles Similar - Shortcuts
Theorem 7­2 Side ­ Side ­ Side Similarity (SSS~)
If the corresponding sides of two triangles are proportional, then the triangles are similar.
Y
B
4
3
A
5
12
9
C
X
15
Z
7.3 similar triangles.notebook
January 10, 2017
Proving Triangles Similar - Shortcuts
Determine whether each pair of triangles can be proven similar by AA, SSS, or SAS.
7.3 similar triangles.notebook
Assignment:
7.3 Worksheet
(front side only)
January 10, 2017