Question

Question:Use the image to answer the question.The x-axis ranges from negative 6 to 6 in increments of 1. The y-axis ranges from negative 6 to 6 in increments of 1.Point $A$ has coordinates $(2, 1)$.Point $B$ has coordinates $(-1, 3)$.Point $C$ has coordinates $(-3, -2)$.Point $A'$ has coordinates $(4, 2)$.Point $B'$ has coordinates $(-2, 6)$.Point $C'$ has coordinates $(-6, -4)$.In the image, triangle $\triangle ABC$ is dilated with reference to the origin to create triangle $\triangle A'B'C'$. What is the magnitude of dilation?Triangle $ABC$ is dilated using a magnitude of ___, which results in triangle $A'B'C'$.

Answer 1

2

Each image point is twice the original coordinates (e.g., (2,1) → (4,2)), so the dilation factor is 2.