chapter 7 Flashcards
(12 cards)
how to prove triangles are similar
aa, sss, sas
scale model
smaller scale representation of larger object
triangle proportionality thm
if a line parallel to a side of a triangle intersects the other two sides, then it divides those sides proportionally
converse of the triangle proportionality thm
if a line divides two sides of a triangle proportionally, then its parallel to the third side
two transversal proportionality corollary
if three or more parallel lines intersect two transversals, then they divide the transversals proportionally
triangle angle bisector theorem
an angle bisector of a triangle divides the opposite sides into two segments that are proportional to the lengths of the other two sides
proportional perimeter and areas theorem
if the similarity ratio of two similar figures is a/b that the ratio of their perimeters is a/b, and the ratio of their areas is a^2/b^2 or (a/b)^2
if k is greater than 1
enlargement
if 0
reduction
indirect measurement
any method that uses proportions to measure
to find if sides are proportional…
put equal sides into proportions and simplify the ratio
if the ratios are congruent, that is the similarity ratio and they are similar
vector
starts at point, end with arrow, has direction and magnitude