Question

Use the information given to answer the question. Triangle PQR undergoes a dilation by scale factor of 1/2 about vertex P to form triangle P’Q’R’PART A Which statement is true?

Answer 1

We can think of this dilation as this: if the center of dilation is P and the factor of dilation is k = 1/2, we can draw the image triangle as:

This way, the segments P'R' and P'Q' have half the length of PR and PQ respectively.

The segment RQ passes through the origin of coordinates. As no other image segment intersects with RQ, we know that no image segment passes through the origin of coordinates.

Answer:

No segments of triangle P'Q'R' pass trhough the origin.