Question

In the image, triangle ABC is dilated with reference to the origin to create triangle A'B'C'. What is the magnitude of dilation?
-7-
B = (-2, 6)
6
Blaふ
3
2
- -
A = (4, 2)
ドラ(2.3
8 50 4 з 72
-1
2 3 4 5 6
/
/
6= (6, 4)
-3
4
-5
(1 point)
Triangle ABC is dilated using a magnitude of . which results in triangle A'B'C'.

Answer 1

To determine the magnitude of dilation leading from triangle ABC to triangle A'B'C', we need the coordinates of the original vertices (A, B, and C) and their corresponding dilated vertices (A', B', and C'). The points provided in your description are:

- A = (4, 2)
- B = (-2, 6)
- C = (6, 4)

Unfortunately, you did not provide the coordinates of the dilated points A', B', and C'. However, the formula for determining the dilation factor (magnitude) is as follows:

1. The dilation from point P to point P' with respect to the origin is given by:

\( P' = k \cdot P \)

where \( k \) is the dilation factor.

2. To find \( k \), you can choose one of the points, say A, and calculate it as follows:

\( k = \frac{x'}{x} = \frac{y'}{y} \)

where \( (x, y) \) are the coordinates of the original point and \( (x', y') \) are the coordinates of the dilated point.

Once you provide the coordinates of the dilated points (A', B', C'), I can help you proceed with the calculation of the dilation magnitude.