6-3 Similar Triangles 6-4 Parallel Lines & Similarity

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6-3 Similar Triangles

Transcript of 6-3 Similar Triangles 6-4 Parallel Lines & Similarity

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6-3 Similar Triangles

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• Similar Triangles have the same angle measures.

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• To check if two triangles are similar:

…match up the corresponding sides and check the proportion using cross-products.

36

12

30 2

65

Are these trianglessimilar?

122

305

=

Make sure you

check all sides!

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REAL LIFE !

?

285 ft.

6 ft

2.3 ft

?6

=2852.3

How tall is this

building?

The shadowis 285 ft.

long !

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Rules o’ Triangle Similarity

1> If ya know TWO angles be

congruent, then the triangles be similar!

called “A.A.” similiarity

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2> If ya know the three sides be proportional, then the triangles be similar !

2

1

5

4

2

10

SSS Similarity

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3> If two sides be congruent, and the angles between them be congruent, thenthe whole triangle be similar !

6

18

4

12

SAS Similarity

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6-4 Parallel Lines and Proportional Parts

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A

B C

D E

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A

B C

D E

MIDSEGMENT

DE = ½ BC

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AB

C

DEF

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Page 13: 6-3 Similar Triangles 6-4 Parallel Lines & Similarity

A

BC

DEF

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