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3.4c: Identifying Similar Trianglesp. 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.
50
60
70
A G
F
R
P B60
50
What do we know?
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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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10
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