Similar Triangles Flashcards
Statement that 2 ratios are equal
Proportion
2 ways to write out proportions
a:b=c:b a/b=c/d
Figures that have the same shape corresponding sides are proportional corresponding angles are congruent
Similar figures
Name the 3 triangle similarity postulates
AA~ SAS~ SSS~
~ is the label for
Similarity
If a line is parallel to one side of a triangle and intersects the other to sides then it divides those sides proportionally
Side splitter therom
If 3 parallel lines intersects 2 transversals then the segments intersected on the transversal are pro proportional
Corollary to side splitter
An angle bisector in a triangle separates the opposite side into two segments that are proportional to the othere two sides
Angle bisector ~ therom
If a segment joins the midpoint of two sides of a triangle then the segment is parallel to the third side and half the length
Triangle mid segment ~ therom