3.4c: Identifying Similar Triangles

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3.4c Identifying Similar Triangles

• p. 354-361

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AA Similarity

• If 2 angles in 1 triangle are congruent to 2
  angles in a 2nd triangle, then the 2 triangles
  are similar.

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What do we know?
P
B
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60
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R
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70
G
A
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Are the triangles Similar? If not, why? If so,
why? Write a similarity statement.
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SSS similarity

• If all 3 ratios of the corresponding sides are
  equal, then the triangles are similar
• If the ratios are equal, the corresponding sides
  are proportional

Are the Triangles similar? If not, why not? If
so, why? Write a similarity Statement.
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SAS similarity

• If 2 sides of the 1st triangle are proportional
  to 2 sides of a 2nd triangle and the included
  angles in both triangles are congruent, then the
  two triangles are similar.

Are the Triangles similar? If not, why not? If
so, why? Write a similarity Statement.
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examples
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Hint when Triangles are overlapping, separate
them by re-drawing it
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NECAP Released Item
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Ex.

• Triangle ABC with A(1,1) B(1,7) C(5,1) and
  Triangle DEF with D(1,-1) E(3,-1) and F (3,-4).

Are the Triangles similar? If not, why not? If
so, why? Write a similarity Statement.
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homework