Respuesta :
Answer:
segment R prime S prime = three segment RS
Step-by-step explanation:
I took the test,
The true statement is segment R prime S prime = three segment RS
What is dilation?
Dilation is a transformation, which is used to resize the object.
The complete question is
If ΔOPQ is dilated from point Q by a scale factor of 3, which of the following equations is true about segment R prime S prime?
Triangle OPQ is shown with point R lying on side OP and point S lying on side OQ Line RS is perpendicular to side OQ.
segment R prime S prime = one half segment RS
segment R prime S prime = two segment RS
segment R prime S prime = segment RS
segment R prime S prime = three segment RS
The scale factor of dilation of ΔOPQ, S.F. = 3
S'Q' = 3 * SQ
also, R'Q' = 3* RQ
By Pythagoras theorem, we have
R'Q'² = R'S'² +S'Q'²
R'S'² = R'Q'² - S'Q'²
R'S'² = (3RQ)² - (3SQ)²
R'S'² = 9(RQ² - SQ²)
R'S' = 3 RS
Learn more about this concept here:
https://brainly.com/question/24206870
#SPJ5
