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Similar Triangles. Unit 4.16. AA (Angle Angle) Similarity Theorem. N. If two triangles have two pairs of congruent angles, then the third pair of angles is also congruent and the triangles are Similar. H. 35°. 35°. M. G. K. P. Triangle GHK is similar to triangle MNP:. c. - PowerPoint PPT Presentation
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Similar TrianglesUnit 4.16
AA (Angle Angle) Similarity Theorem
If two triangles have two pairs of congruent angles, then the third pair of angles is also congruent and the triangles are Similar.
35°
35°
G
H
K
N
M P
Triangle GHK is similar to triangle MNP:
c.
Let’s Try It!
1) 2)
x + 28 + 80 = 180
X + 108 = 180
X = 72
28 + 71 + y = 180
Y + 99 = 180
y = 81
NOT Similar!
66 + 90 + x = 180
x + 156 = 180
x = 24
Similar!
(We only need 2 congruent pairs)
3) 42°
90°
48°
You Try It!
4)
5)
You Try It!
6) 7)
Proportional Sides of Similar Triangles
Two triangles are similar if and only if the proportions of their corresponding side lengths are equal.
is similar to because the proportions of their corresponding side lengths are equal.
You Try It!
8)
9)
The flagpole is 35 ft. tall!
You Try It!
10)
You Try It!
Homework Time
Simply Similar! WS
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