Similar Triangles Flashcards
Ratio
two quantities connected by division, and is a comparison for values involving the same units
Proportion
an equation that states that two ratios are equal
Means
b, c
Extremes
a, d
In a proportion…
the product of the means is equal to the product of the extremes
bc=ad
Mean Proportional/Geometric Mean between the two extremes
the means in a proportion are the same number
Two polygons are similar if:
-corresponding angles are congruent
-corresponding sides are proportional
3 methods used to prove triangles similar
AA~
SSS~
SAS~
CSSTP
Corresponding Sides of Similar Triangles are Proportional
Midsegment
a segment that connects the midpoints of two sides of a triangle
-half the length of the third side of the triangle
-parallel to the third side of the triangle
Side Splitter Theorem
a parallel line connecting two sides of a triangle that splits those sides proportionally