Question

If the vertices of triangle ABC are A(0,0), B(-4,0), and C(-2,4), and the coordinates of each vertex are multiplied by 3 to create triangle AEG, what are the new coordinates of triangle AEG?

A) A(0,0), E(-12,0), G(-6,12)
B) A(0,0), E(-4,0), G(-6,12)
C) A(0,0), E(-12,0), G(-6,4)
D) A(0,0), E(-8,0), G(-6,12)

Answer 1

The new coordinates of triangle AEG are A(0,0), E(-12,0), and G(-6,12).

Step-by-step explanation:

To find the new coordinates of triangle AEG, we need to multiply the coordinates of each vertex of triangle ABC by 3.

• The new coordinates of vertex A will be (0, 0) since any number multiplied by 0 is 0.
• The new coordinates of vertex B will be (-4 * 3, 0) which is (-12, 0).
• The new coordinates of vertex C will be (-2 * 3, 4 * 3) which is (-6, 12).

Therefore, the new coordinates of triangle AEG are A(0,0), E(-12,0), and G(-6,12).