Question

Choose the explanation that shows why ΔADE is similar to ΔABC.

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Recall that a dilation with center (0, 0) and scale factor $k$ maps $(x,y)$ onto $(kx, ky)$.

Now, triangle ADE is formed by

$A=(0,0),\quad D=(0,2),\quad E=(4,0)$

Whereas triangle ABC is formed by

$A=(0,0),\quad B=(0,4),\quad C=(8,0)$

In other words, the coordinates of B and C can be obtained by multiplying by 2 the coordinates of D and E.

This means that you get ABC from ADE by dilating with center (0,0) and scale factor 2.