Question

A dilation with a scale factor of 3.5 and centered at the origin is applied to PQ¯¯¯¯¯ with endpoints P(2, 5) and Q(2, 1).

Drag and drop to match each point with its coordinates.

P′---

Q′--

CHOICES:(5.5,8.5) (5.5,5) (7,5) (7,17.5) 5.5,1) (5.5,4.5) (7,1) (7,3.5)

Answer 1

Answer: The answer is P'(7, 17.5) and Q'(7, 3.5).

Step-by-step explanation: Given that a line segment PQ is dilated with a scale factor of 3.5 where origin is the centre of dilation.

The end points of segment PQ are P(2, 5) and Q(2, 1).

Therefore, after dilation, the coordinates of the end points become

`P'=(2* 3.5,5* 3.5)=(7, 17.5),\\\\Q'=(2* 3.5,1* 3.5)=(7,3.5).`

Thus, the coordinates of P' are (7, 17.5) and the co-ordinates of Q' are (7, 3.5).