5.7
(3)
Dilation of a segment summary
Complete each statement:
(1) A dilation maps a segment to a segment (circle one) always
sometimes never
(2) A dilation maps a segment to the same line when _____________ or ______________________________
_____________________________________________.
(3) A dilation maps a segment to a parallel segment when __________________________________________
and _________________________________________.
(4) If segments of different lengths lie in the same plane, there is a dilation that maps one to the other
if and only if ___________________ or _____________________.
(4)
Dilation of a segment stretch your brain
compass,
Consider points P, Q, R, and S on a line, where P = R, as shown below. Show there is a dilation that maps PQ to
ruler
RS. Where is the center of the dilation?
Consider points P, Q, R, and S on a line, where PQ ≠ RS, as shown below. Show there is a dilation that maps PQ
to RS. Where is the center of the dilation?