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Transcript
Geometry 7-4
A Postulate for Similar Triangles
Angle-Angle Similarity (AA )
If two angles of one triangle are congruent
to two angles of another triangle, then the
Geometry notes 7.5
page 264 1-5 classroom exercises; and page 266 1-6 written exercises
Theorems for Similar Triangles
SAS Similarity Theorem –
If an angle of one triangle is congruent to an angle of
another triangle and the sides including those angles are
in proportion, then the triangles are similar.
SSS Similarity Theorem –
If the sides of two triangles are in proportion, then the
triangles are similar.
Notes 7.6 Geometry
Proportional Lengths
Triangle Proportionality Theorem
If a line parallel to one side of a triangle intersects the
other two sides, then it divided those sides proportionally.
If three parallel lines intersect two transversals, then they
divided the transversals proportionally.
If a ray bisects an angle of a triangle, then it divides the
opposite side into segments proportional to the other two
sides.