ratio (of one number to another)
quotient when the first number is divided by the second
equation stating that two ratios are equal
first and last terms in a proportion
middle terms in a proportion
Property of Proportion (1)- a/b = c/d is equivalent to
ad = bc (cross multiplucation)
a/c = b/d (simplifying across the equation)
b/a = d/c (reciprocals)
a+b/b = c+d/d
Property of Proportion (2)- if a/b = c/d = e/f = ... then
a+c+e+.../b+d+f+... = a/b
polygons whose vertices can be paired that:
1) corr. angles congruent
2) corr. sides are in proportion (lengths have the same ratio)
scale factor (of similarity)
ratio of the lengths of two corr. sides of two similar polygons
If two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.
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.
If the sides of two triangles are in proportion, then the triangles are similar.
Triangle Proportionality Theorem
If a line parallel to one side of a triangle intersects the other two sides, then it divides those sides proportionally.
If three parallel lines intersect two transversals, then they divide the transversals __________.
Triangle Angle-Bisector Theorem
If a ray bisects an angle of a triangle, then it divides the opposite side into segments proportional to the other two sides.