Draw the image of \triangle ABC△ABCtriangle, A, B, C under a dilation whose center is PPP and scale factor is \dfrac{1}{3} 3 1

Question

2 years ago

10

start fraction, 1, divided by, 3, end fraction.

1 answer:

zavuch27 [327] · Answer 1 · 2023-07-03T00:38:30+03:00

Dilating the triangle ABC would create another triangle whose size is different from the triangle ABC

<h3>How to dilate the triangle?</h3>

From the complete question, we have the following coordinates:

Point A = (-4,5)
Point B = (7,-7)
Point C = (-2,2)
Point P = (1,-4)
Scale factor, k = 1/3

The dilation rule across the center P is:

(x, y) --> (1/3x – 1, 1/3y + 4)

So, the coordinates of the image of the triangle are:

A' = (-1/3 * 4 – 1, 1/3 * 5 + 4)

A' = (-7/3, 17/3)

B' = (1/3 * 7 – 1, -1/3 * 7 + 4)

B' = (4/3, 5/3)

C' = (-1/3 * 2 – 1, 1/3 * 2 + 4)

C' = (-5/3, 14/3)

From the above computation, the coordinates of the new triangle is:

A' = (-7/3, 17/3)

B' = (4/3, 5/3)

C' = (-5/3, 14/3)

See attachment for the image of triangle ABC

Draw the image of \triangle ABC△ABCtriangle, A, B, C under a dilation whose center is PPP and scale factor is \dfrac{1}{3} 3 1 ​