Step-by-step explanation: Given that triangle PQR is dilated by a scale factor of 1.5 to form triangle P′Q′R′. This triangle is then dilated by a scale factor of 2 to form triangle P″Q″R″.

The co-ordinates of vertices P and Q are (3, -4) and (5, -1) respectively.

We are to find the co-ordinates of the vertices P″ and Q″.

Case I : ΔPQR dilated to ΔP'Q'R'

The co-ordinates of P' and Q' are given by

$P'(3\times 1.5, -4\times 1.5)=P'(4.5, -6),\\\\Q'(5\times 1.5, -1\times 1.5)=Q'(7.5, -1.5).$

Case II : ΔP'Q'R' dilated to ΔP''Q''R''

The co-ordinates of P'' and Q'' are given by

$P''(4.5\times 2, -6\times 2)=P'(9, -12),\\\\Q'(7.5\times 2, -1.5\times 2)=Q'(15, -3).$

Thus, the co-ordinates of the vertices P'' and Q'' are (9, -12) and (15, -3).

Option (D) is CORRECT.

4 0

2 years ago

Read 2 more answers

The Sluggers go out for pizza after a game. Five large pizzas plus three medium pizzas together have 110 slices. Two large pizza

chubhunter [2.5K]

Hi the call you have a good day bye bye the call

4 0

1 year ago

The linear plot shows how water pressure changes as a diver's depth increases. What is the best

vazorg [7]

Answer:

Step-by-step explanation:

It would be A, the first one.

4 0

1 year ago

Read 2 more answers