Question

Someone can explain to me this please is in IXL i need some help

Answer 1

These new coordinates represent the vertices of the dilated triangle after a scale factor of 1/4 around the origin:

P'(0, -1)

Q'(2, 0)

R'(0, 1)

Explanation:

let's dilate the triangle with vertices P(0, -4), Q(8, 0), and R(0, 4) around the origin with a scale factor of 1/4. Here are the steps:

Identify the original coordinates:

P(0, -4)

Q(8, 0)

R(0, 4)

Apply the dilation formula:

For each vertex, we'll multiply both the x and y coordinates by 1/4.

Calculate the new coordinates:

For vertex P(0, -4):

x' = (1/4) * 0 = 0

y' = (1/4) * (-4) = -1

So, the new coordinates for P' are (0, -1).

For vertex Q(8, 0):

x' = (1/4) * 8 = 2

y' = (1/4) * 0 = 0

So, the new coordinates for Q' are (2, 0).

For vertex R(0, 4):

x' = (1/4) * 0 = 0

y' = (1/4) * 4 = 1

So, the new coordinates for R' are (0, 1).

These new coordinates represent the vertices of the dilated triangle after a scale factor of 1/4 around the origin:

P'(0, -1)

Q'(2, 0)

R'(0, 1)