Question

The vertices of ABC are A(2, - 2), B(-2, - 2), and C(4,4). For the translation below, give the vertices of AA'B'C'. T(2.4 (ABC) The vertices of AA'B'C'are A' . B and O? (Simplify your answers. Type ordered pairs.)

Answer 1

Answer:

The vertices of triangle A'B'C' are A' (4, 2), B'(0, 2) and C'( 6, 8)

Explanations:

The vertices of ABC are A( 2, -2), B(-2, -2), and C(4, 4)

`\begin{gathered} \text{The translation T}_{<2,\text{ 4>}}\text{ means that }\Delta ABC\text{ is translated by 2 units to the right and } \\ 4\text{ units upwards} \end{gathered}`

All the vertices will be translated by 2 units in the +ve x direction and 4 units in the +ve y direction.

If a vertex M(x, y) is translated by 2 units in the x-direction, and 4 units in the y-direction, the new coordinates will become M'(x+2, y+4)

Therefore, the vertices of triangle ABC will become:

A' (2+2, -2+4) = A'(4, 2)

B'(-2+2, -2+4) = B'(0, 2)

C'(4+2, 4+4) = C'(6, 8)