Geometry Unit 6 Flashcards
ratio
a comparison of 2 or more quantities
extended ratio
a comparison of 3 or more quantities
proportion
equation that states 2 ratios are equal
what are the 3 rules is triangles are similar?
AA, SSS, SAS
triangle proportionality theorem
parallel line theorem, there can also be a converse, which is just the reverse.
altitudes
if 2 triangles are similar, the side L or R of the right angles are proportional to the L and R of the other triangle.
angle bisectors
if 2 triangles are similar, then the L and R sides of the bisector are proportional to the L and R of the other triangle, and the bisectors are proportional.
medians
if 2 triangles are similar and have 2 congruent sides that correspond, then the other sides are proportional on each triangle.
triangle angle bisector theorem
an angle bisector in a triangle separates the opp. sides into 2 segments that are prop. to the lengths of the other 2 sides.