Download 7.3 - Proving Triangles Similar.notebook

7.3 ­ Proving Triangles Similar.notebook
February 16, 2017
2/11: Warm Up
1. Are the polygons similar? Explain. If so, write a similarity statement.
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7.3 ­ Proving Triangles Similar.notebook
February 16, 2017
7.3: Proving Triangles are Similar
Date: 2/11
Postulate 7­1: Angle­Angle Similarity ( __________ ) Postulate
“If two angles of one triangle are
congruent to two angles of
another triangle, then the triangles
are similar."
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7.3 ­ Proving Triangles Similar.notebook
February 16, 2017
Ex 1). Are the two figure similar? How do you know?
a)
b)
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7.3 ­ Proving Triangles Similar.notebook
February 16, 2017
Theorem 7­1: Side­Angle­Side Similarity ( ___________ ) Theorem
“If an angle of one triangle is
congruent to an angle of a second
triangle, and the sides that include the
two angles are proportional
then the triangles are similar.”
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7.3 ­ Proving Triangles Similar.notebook
February 16, 2017
Theorem 7­2: Side­Side­Side Similarity ( ____________ ) Theorem
“If the corresponding sides of two
triangles are proportional
then the triangles are similar.”
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7.3 ­ Proving Triangles Similar.notebook
February 16, 2017
Ex 2). Are the triangles similar? Explain why. And if so, write a similar
statement.
a)
b)
c)
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7.3 ­ Proving Triangles Similar.notebook
February 16, 2017
Ex 4). Benjamin places a mirror 40 ft from the base of an oak tree. When he
stands at a distance of 5 ft from the mirror, he can see the top of the tree in
the reflection. If Benjamin is 5 ft 8 in. tall, what is the height of the oak tree?
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7.3 ­ Proving Triangles Similar.notebook
February 16, 2017
Homework:
pg. 479 #1 – 3, 5, 7 – 10,
15, 16, 20, 21
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