Download 6B Similarity Figures and Similarity Theorems

6B Similarity Figures and Similarity Theorems
Name______________________________________
Two polygons are similar provided
 Corresponding angles are ______________________________.

Corresponding sides are ________________________________.
Methods to proving triangles are congruent:

AA~ Postulate: If two angles of one triangle are _____________________ to two angles of another triangle, then the two
triangles are ___________________.

SSS~ Postulate: If the corresponding side lengths of two triangles are ____________________, then the triangles are
__________________________.

SAS~ Postulate: If an angle of one triangle is _______________________ to an angle of a second triangle and the lengths of
the sides including these angles are _____________________, then the triangles are ___________________.
1-4: Are the figures similar? If so, determine by what method and write a similar statement.
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5-8: The figures are similar. What is the value of x?
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9-12: The figures are similar. What is the value of x?
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12. Scale factor = 5/2
A midsegment of a triangle is a segment that connects the midpoints of two
sides of the triangle.
13. What is the relationship between the midsegment and the third side of the
triangle?
14. What is the value of
15. What is the value of x if
x if MN is a
MN is a midsegment of
midsegment of the
the triangle?
triangle?
sur sur
16. Given: XY PBC . What is the value of m?
The Side-Splitter Theorem
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17. Given: l⫽m⫽n. What is
18. Given: l⫽m⫽n. What is
the value of x?
the value of x?
The Angle Bisector Theorem 19-21: What is the value of x?
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