The vertices of triangle ABC' are A' (0, 20), B' (8,12), and C' ( 4, 4) if triangle ABC is dilated by a scale factor of 2.
How does dilation affect length, area, and volume of an object?
Suppose a figure (pre-image) is dilated (dilated image) by a scale factor of k.
So, if a side of the figure is of length L units, and that of its similar figure is of M units, then:
L = k × M
where 'k' will be called as a scale factor.
The linear things grow linearly like length, height etc.
The quantities which are squares or multiple of linear things twice grow by the square of the scale factor.
Thus, we need to multiply or divide by k² to get each other corresponding quantity from their similar figures' quantities.
So the area of the first figure = k² × area of the second figure
The vertices of triangle ABC are
A (0, 10) , B (8 ,6), C ( 4, 2)
The vertices of triangle ABC' if triangle ABC is dilated by a scale factor of 2.
k = 2
L = k × M
L = 2 × 10 = 20
B = 2 × 6 = 12
W = 2 × 2 = 4
Hence, The vertices of triangle ABC' are A' (0, 20), B' (8,12), and C' ( 4, 4).
Learn more about dilation here:
https://brainly.com/question/27212783
#SPJ2
