# Math Final Study Guide Terms

 vector A quantity that has both direction and magnitude, or size, and is represented by an arrow drawn between 2 points initial point starting point of the vector terminal point ending point of the vector component form <5,3> (5 units to the right and 3 units up) <-1,-9> (1 unit to the left and 9 units down) translation double reflection across 2 parallel lines coordinate notation (x,y) --> (x+3, y-2) (right 3 and 2 down) (x,y) --> (x, y+4) (stays the same, up 4) Line of reflection is the ____________ of the ________________. Perpendicular bisector, segment joining pre-image to image composition when 2 or more transformations are combined to produce a single transformation cross product property the product of the extremes equals the product of the means Reciprocal Property If two ratios are equal then their reciprocals are also equal means bottom right and top left extremes top left and bottom right geometric mean of 2 #s the square root of the product of the 2 #s When corresponding angle are congruent then ________________. Corresponding sides are proportional AA~ Two cooresponding angles congruent in two triangles = similar triangles SSS~ All three corresponding sides congruent = similar triangles SAS~ Two corresponding sides sandwhiching one coresponding angle are congruent = similar triangles If a line parallel to one side of a triangle intersects the other two sides, then ________________. It divides the two sides proportionally If a line divides 2 sides of a triangle proportionally, then __________________. It is parallel to the third side If 3 parallel lines intersect two transversals, then _______________. They divide the transversals proportionally If a ray bisects an angle of a triangle, then __________________. It divides the opposite side into segments whose lengths are proportional to the lengths of the other 2 sides If k>0 enlargement if 0