Question

Write the coordinates of the vertices after a dilation with a scale factor of 2, centered at the origin.
F
'
,
G
'
,
H
'
,


F = -4, 5
G = 4, 5
H = -3, -4

Answer 1

To find the coordinates of the vertices after a dilation with a scale factor of 2, centered at the origin, you multiply each coordinate of the vertices by the scale factor.

Given points:
- \( F(-4, 5) \)
- \( G(4, 5) \)
- \( H(-3, -4) \)

Now, apply the dilation:

1. For point \( F \):
\[
F' = (2 \cdot -4, 2 \cdot 5) = (-8, 10)
\]

2. For point \( G \):
\[
G' = (2 \cdot 4, 2 \cdot 5) = (8, 10)
\]

3. For point \( H \):
\[
H' = (2 \cdot -3, 2 \cdot -4) = (-6, -8)
\]

Thus, the coordinates of the vertices after the dilation are:
- \( F'(-8, 10) \)
- \( G'(8, 10) \)
- \( H'(-6, -8) \)