Smaller solid triangle upper A upper B upper C is graphed within larger dotted triangle upper A prime upper B prime upper C prime on a coordinate plane.
In the image, triangle ABC
is dilated with reference to the origin to create triangle A′B′C′
. What is the magnitude of dilation?
(1 point)
Triangle ABC
is dilated using a magnitude of
, which results in triangle A′B′C′
.
The magnitude of the dilation can be found by comparing the side lengths of the two triangles.
Let's take one side of the smaller triangle and its corresponding side of the larger triangle:
In triangle ABC, let's take side AB.
In triangle A'B'C', let's take side A'B'.
Now, we can find the ratio of the lengths of these two sides:
Magnitude of dilation = Length of A'B' / Length of AB
If we have the values for these lengths, we can calculate the magnitude of dilation.